{"cells": [{"metadata": {}, "cell_type": "markdown", "source": "\u6700\u8fd1\u5bf9\u6bd4\u7279\u5e01\u7684\u6ce2\u52a8\u7387\u505a\u4e86\u4e00\u4e9b\u5206\u6790\uff0c\u4e2d\u95f4\u5570\u5570\u55e6\u55e6\u6709\u4e9b\u5fc3\u8840\u6765\u6f6e\u7684\u5206\u6790\uff0c\u7d22\u6027\u5c06\u4e00\u4e9b\u7406\u89e3\u548c\u4ee3\u7801\u5206\u4eab\u5982\u4e0b\uff0c\u672c\u4eba\u80fd\u529b\u6709\u9650\uff0c\u4ee3\u7801\u5199\u7684\u810f\u4e71\u5dee\uff0c\u5982\u6709\u9519\u8bef\uff0c\u8fd8\u8bf7\u793e\u533a\u5927\u4f6c\u591a\u591a\u6307\uff08Du\uff09\u6b63\uff08Da\uff09\u3002\n\n# 1\u3001\u91d1\u878d\u7684\u65f6\u95f4\u5e8f\u5217\u7b80\u8ff0\n\n\u91d1\u878d\u7684\u65f6\u95f4\u5e8f\u5217\uff08Time Series\uff09\u662f\u57fa\u4e8e\u4e00\u4e2a\u53d8\u91cf\u4ee5\u65f6\u95f4\u7ef4\u5ea6\u8fdb\u884c\u89c2\u6d4b\uff0c\u5f97\u51fa\u7684\u4e00\u7ec4\u968f\u673a\u8fc7\u7a0b\uff08Stochastic Process\uff09\u5e8f\u5217\u6a21\u578b\uff0c\u8fd9\u4e2a\u53d8\u91cf\u901a\u5e38\u4e3a\u8d44\u4ea7\u7684\u6536\u76ca\u7387\uff0c \u56e0\u4e3a\u6536\u76ca\u7387\u4e0e\u6295\u8d44\u89c4\u6a21\u65e0\u5173\uff0c\u800c\u4e14\u5177\u6709\u7edf\u8ba1\u6027\u8d28\uff0c\u6240\u4ee5\u5bf9\u6807\u7684\u91d1\u878d\u8d44\u4ea7\u7684\u6295\u8d44\u673a\u4f1a\u5206\u6790\u66f4\u6709\u4ef7\u503c\u3002\n\n\u8fd9\u91cc\u5927\u80c6\u5730\u5047\u8bbe\u6bd4\u7279\u5e01\u6536\u76ca\u7387\u7b26\u5408\u4e00\u822c\u91d1\u878d\u8d44\u4ea7\u7684\u6536\u76ca\u7387\u7279\u5f81\uff0c\u5373\u4e3a\u5f31\u5e73\u7a33\u5e8f\u5217\uff0c\u8fd9\u53ef\u4ee5\u901a\u8fc7\u82e5\u5e72\u6837\u672c\u7684\u4e00\u81f4\u6027\u68c0\u6d4b\u6765\u5b9e\u8bc1\u3002"}, {"metadata": {}, "cell_type": "markdown", "source": "## 1-1\u3001\u51c6\u5907\u5de5\u4f5c\uff0c\u5bfc\u5165\u5e93\uff0c\u5c01\u88c5\u51fd\u6570"}, {"metadata": {}, "cell_type": "markdown", "source": "\u8150\u59b9\u5b50\u7684\u7814\u7a76\u73af\u5883\u914d\u7f6e\u5f88\u9f50\u5168\uff0c\u8fd9\u91cc\u5c31\u5bfc\u5165\u540e\u7eed\u8ba1\u7b97\u6240\u9700\u8981\u7684\u5e93\uff0c\u56e0\u4e3a\u662f\u65ad\u65ad\u7eed\u7eed\u5199\u5b8c\uff0c\u6240\u4ee5\u53ef\u80fd\u5bfc\u5165\u4e0a\u6709\u4e9b\u5197\u4f59\uff0c\u8bf7\u81ea\u884ccleanup"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-31T12:17:36.496683Z", "start_time": "2020-03-31T12:17:34.299780Z"}, "trusted": true}, "cell_type": "code", "source": "'''\nstart: 2020-02-01 00:00:00\nend: 2020-03-01 00:00:00\nperiod: 1h\nexchanges: [{\"eid\":\"Huobi\",\"currency\":\"BTC_USDT\",\"stocks\":0}]\n'''\nfrom __future__ import absolute_import, division, print_function\nfrom fmz import * # \u5bfc\u5165\u6240\u6709FMZ\u51fd\u6570\nimport pandas as pd\nimport numpy as np\nimport matplotlib.pyplot as plt\nimport matplotlib.lines as mlines\nimport seaborn as sns\nimport statsmodels.api as sm\nimport statsmodels.formula.api as smf\nimport statsmodels.tsa.api as smt\nfrom statsmodels.graphics.api import qqplot\nfrom statsmodels.stats.diagnostic import acorr_ljungbox as lb_test\nfrom scipy import stats\nfrom arch import arch_model\nfrom datetime import timedelta\nfrom itertools import product\nfrom math import sqrt\nfrom sklearn.metrics import r2_score, mean_absolute_error, mean_squared_error\n\ntask = VCtx(__doc__) # \u521d\u59cb\u5316\uff0c\u9a8c\u8bc1FMZ\u5bf9\u5386\u53f2\u6570\u636e\u7684\u8bfb\u53d6\nprint(exchange.GetAccount())", "execution_count": 1, "outputs": [{"output_type": "stream", "text": "{'Balance': 10000.0, 'FrozenBalance': 0.0, 'Stocks': 0.0, 'FrozenStocks': 0.0}\n", "name": "stdout"}]}, {"metadata": {}, "cell_type": "markdown", "source": "### \u5c01\u88c5\u90e8\u5206\u51fd\u6570\uff0c\u540e\u9762\u4f1a\u7528\uff0c\u5982\u6709\u6765\u6e90\u89c1\u6ce8\u91ca"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-31T12:17:41.593397Z", "start_time": "2020-03-31T12:17:41.535265Z"}, "trusted": true}, "cell_type": "code", "source": "# \u7ed8\u56fe\u51fd\u6570\ndef tsplot(y, y_2, lags=None, title='', figsize=(18, 8)):  # \u6e90\u7801: https://tomaugspurger.github.io/modern-7-timeseries.html\n    fig = plt.figure(figsize=figsize)\n    layout = (2, 2)\n    ts_ax   = plt.subplot2grid(layout, (0, 0))\n    ts2_ax = plt.subplot2grid(layout, (0, 1))\n    acf_ax  = plt.subplot2grid(layout, (1, 0))\n    pacf_ax = plt.subplot2grid(layout, (1, 1))\n    y.plot(ax=ts_ax)\n    ts_ax.set_title(title)\n    y_2.plot(ax=ts2_ax)\n    smt.graphics.plot_acf(y, lags=lags, ax=acf_ax)\n    smt.graphics.plot_pacf(y, lags=lags, ax=pacf_ax)\n    [ax.set_xlim(0) for ax in [acf_ax, pacf_ax]]\n    sns.despine()\n    plt.tight_layout()\n    return ts_ax, ts2_ax, acf_ax, pacf_ax\n\n# \u6027\u80fd\u8bc4\u4ef7\ndef get_rmse(y, y_hat):\n    mse = np.mean((y - y_hat)**2)\n    return np.sqrt(mse)\n\ndef get_mape(y, y_hat):\n    perc_err = (100*(y - y_hat))/y\n    return np.mean(abs(perc_err))\n\ndef get_mase(y, y_hat):\n    abs_err = abs(y - y_hat)\n    dsum=sum(abs(y[1:] - y_hat[1:]))\n    t = len(y)\n    denom = (1/(t - 1))* dsum\n    return np.mean(abs_err/denom)\n\ndef mae(observation, forecast):    \n    error = mean_absolute_error(observation, forecast)\n    print('Mean Absolute Error (MAE): {:.3g}'.format(error))\n    return error\n\ndef mape(observation, forecast): \n    observation, forecast = np.array(observation), np.array(forecast)\n    # Might encounter division by zero error when observation is zero\n    error = np.mean(np.abs((observation - forecast) / observation)) * 100\n    print('Mean Absolute Percentage Error (MAPE): {:.3g}'.format(error))\n    return error\n\ndef rmse(observation, forecast):\n    error = sqrt(mean_squared_error(observation, forecast))\n    print('Root Mean Square Error (RMSE): {:.3g}'.format(error))\n    return error\n\ndef evaluate(pd_dataframe, observation, forecast):\n    first_valid_date = pd_dataframe[forecast].first_valid_index()\n    mae_error = mae(pd_dataframe[observation].loc[first_valid_date:, ], pd_dataframe[forecast].loc[first_valid_date:, ])\n    mape_error = mape(pd_dataframe[observation].loc[first_valid_date:, ], pd_dataframe[forecast].loc[first_valid_date:, ])\n    rmse_error = rmse(pd_dataframe[observation].loc[first_valid_date:, ], pd_dataframe[forecast].loc[first_valid_date:, ]) \n\n    ax = pd_dataframe.loc[:, [observation, forecast]].plot(figsize=(18,5))\n    ax.xaxis.label.set_visible(False)\n    return", "execution_count": 17, "outputs": []}, {"metadata": {}, "cell_type": "markdown", "source": "## 1-2\u3001\u5148\u7c97\u7565\u4e86\u89e3\u6bd4\u7279\u5e01\u7684\u5386\u53f2\u6570\u636e\n\n\u4ece\u7edf\u8ba1\u7684\u89d2\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u770b\u6bd4\u7279\u5e01\u7684\u4e00\u4e9b\u6570\u636e\u7279\u5f81\uff0c\u4ee5\u8fc7\u53bb1\u5e74\u7684\u6570\u636e\u63cf\u8ff0\u4e3a\u4f8b\uff0c\u6536\u76ca\u7387\u4ee5\u7b80\u5355\u6536\u76ca\u7387\u8ba1\u7b97\u65b9\u5f0f\uff0c\u5373\u6536\u76d8\u4ef7\u53d6\u5bf9\u6570\u76f8\u51cf\u4e3a\u4f8b\uff0c\u516c\u5f0f\u5982\u4e0b\uff1a\n\n$$\nr_{t}=\\ln ^{\\frac{P_{t}}{P_{t-1}}}\n$$"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-31T12:17:46.022387Z", "start_time": "2020-03-31T12:17:45.786427Z"}, "trusted": true}, "cell_type": "code", "source": "df = get_bars('huobi.btc_usdt', '1d', count=10000, start='2019-01-01')\nbtc_year = pd.DataFrame(df['close'],dtype=np.float)\nbtc_year.index.name = 'date'\nbtc_year.index = pd.to_datetime(btc_year.index)\nbtc_year['log_price'] = np.log(btc_year['close'])\nbtc_year['log_return'] = btc_year['log_price'] - btc_year['log_price'].shift(1)\nbtc_year['log_return_100x'] = np.multiply(btc_year['log_return'], 100)\n\nbtc_year_test = pd.DataFrame(btc_year['log_return'].dropna(), dtype=np.float)\nbtc_year_test.index.name = 'date'\nmean = btc_year_test.mean()\nstd = btc_year_test.std()\nnormal_result = pd.DataFrame(index=['Mean Value', 'Std Value', 'Skewness Value','Kurtosis Value'], columns=['model value'])\nnormal_result['model value']['Mean Value'] = ('%.4f'% mean[0])\nnormal_result['model value']['Std Value'] = ('%.4f'% std[0])\nnormal_result['model value']['Skewness Value'] = ('%.4f'% btc_year_test.skew())\nnormal_result['model value']['Kurtosis Value'] = ('%.4f'% btc_year_test.kurt())\nnormal_result", "execution_count": 3, "outputs": [{"output_type": "execute_result", "execution_count": 3, "data": {"text/plain": "               model value\nMean Value          0.0016\nStd Value           0.0341\nSkewness Value     -0.6806\nKurtosis Value      7.2376", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>model value</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>Mean Value</td>\n      <td>0.0016</td>\n    </tr>\n    <tr>\n      <td>Std Value</td>\n      <td>0.0341</td>\n    </tr>\n    <tr>\n      <td>Skewness Value</td>\n      <td>-0.6806</td>\n    </tr>\n    <tr>\n      <td>Kurtosis Value</td>\n      <td>7.2376</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u5c16\u5cf0\u539a\u5c3e\uff08Thick fat tails\uff09\u7279\u5f81\u662f\u65f6\u95f4\u6807\u5ea6\u8d8a\u77ed\u7279\u5f81\u8d8a\u663e\u8457\uff0c\u5cf0\u5ea6\u4f1a\u968f\u7740\u6570\u636e\u9891\u7387\u7684\u589e\u52a0\u800c\u589e\u52a0\uff0c\u5728\u9ad8\u9891\u6570\u636e\u4e0b\u7279\u5f81\u4f1a\u5341\u5206\u660e\u663e\u3002\n\n\u4ee52019\u5e741\u67081\u65e5\u81f3\u4eca\u7684\u65e5\u6536\u76d8\u4ef7\u6570\u636e\u4e3a\u4f8b\uff0c\u5bf9\u5176\u5bf9\u6570\u6536\u76ca\u7387\u8fdb\u884c\u63cf\u8ff0\u6027\u5206\u6790\uff0c\u53ef\u4ee5\u770b\u5230\u6bd4\u7279\u5e01\u7684\u7b80\u5355\u6536\u76ca\u7387\u5e8f\u5217\u4e0d\u7b26\u5408\u6b63\u6001\u5206\u5e03\uff0c\u4e14\u5177\u6709\u660e\u663e\u7684\u5c16\u5cf0\u539a\u5c3e\u7279\u5f81\u3002\n\n\u5e8f\u5217\u5747\u503c\u4e3a0.0016\uff0c\u6807\u51c6\u5dee\u4e3a0.0341\uff0c\u504f\u5ea6\u4e3a-0.6819\uff0c\u5cf0\u5ea6\u4e3a7.2243\uff0c\u8fdc\u9ad8\u4e8e\u6b63\u6001\u5206\u5e03\uff0c\u5177\u6709\u5c16\u5cf0\u539a\u5c3e\u6027\u3002\u7528QQ\u56fe\u6765\u8ba1\u91cf\u68c0\u9a8c\u6bd4\u7279\u5e01\u7b80\u5355\u6536\u76ca\u7387\u7684\u6b63\u6001\u6027\uff0c\u5982\u4e0b\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-31T12:17:49.441513Z", "start_time": "2020-03-31T12:17:49.165643Z"}, "scrolled": true, "trusted": false}, "cell_type": "code", "source": "fig = plt.figure(figsize=(4,4))\nax = fig.add_subplot(111)\nfig = qqplot(btc_year_test['log_return'], line='q', ax=ax, fit=True)", "execution_count": 4, "outputs": [{"data": {"image/png": 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\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53ef\u4ee5\u770b\u5230\uff0cQQ\u56fe\u5f88\u6f02\u4eae\uff0c\u4ece\u7ed3\u679c\u4e0a\u770b\uff0c\u6bd4\u7279\u5e01\u7684\u5bf9\u6570\u6536\u76ca\u7387\u5e8f\u5217\u4e0d\u7b26\u5408\u6b63\u6001\u5206\u5e03\uff0c\u5e76\u4e14\u5177\u6709\u660e\u663e \u201c\u5c16\u5cf0\u539a\u5c3e\u201d\u7684\u7279\u5f81\u3002\n\n\u63a5\u4e0b\u6765\uff0c\u770b\u770b\u6ce2\u52a8\u805a\u96c6\u6548\u5e94\uff0c\u5373\u91d1\u878d\u65f6\u95f4\u5e8f\u5217\u5728\u8f83\u5927\u5e45\u5ea6\u7684\u6ce2\u52a8\u540e\uff0c\u5f80\u5f80\u8fd8\u4f34\u968f\u7740\u66f4\u5927\u5e45\u5ea6\u7684\u6ce2\u52a8\uff0c\u800c\u8f83\u5c0f\u6ce2\u52a8\u5e45\u5ea6\u4e4b\u540e\uff0c\u4e5f\u901a\u5e38\u4f1a\u7d27\u8ddf\u7740\u5e45\u5ea6\u66f4\u5c0f\u7684\u6ce2\u52a8\u3002\n\n\u6ce2\u52a8\u96c6\u7fa4\u6027\uff08Volatility Clustering\uff09\u53cd\u6620\u4e86\u6ce2\u52a8\u7684\u6b63\u76f8\u5173\u548c\u8d1f\u53cd\u9988\u6548\u5e94\uff0c\u5e76\u4e8e\u540e\u5c3e\u7279\u5f81\u9ad8\u5ea6\u76f8\u5173\u3002\u5728\u8ba1\u91cf\u4e0a\uff0c\u8fd9\u5c31\u610f\u5473\u7740\u6ce2\u52a8\u7387\u7684\u65f6\u95f4\u5e8f\u5217\u53ef\u80fd\u5b58\u5728\u81ea\u76f8\u5173\u6027\uff0c\u5373\u5f53\u671f\u7684\u6ce2\u52a8\u7387\u53ef\u80fd\u548c\u4e0a\u671f\u3001\u4e0a\u4e0a\u671f\u751a\u81f3\u4e0a\u4e0a\u4e0a\u671f\u6709\u4e00\u5b9a\u5173\u7cfb\u3002"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-14T07:08:07.639215Z", "start_time": "2020-03-14T07:08:07.071669Z"}, "trusted": false}, "cell_type": "code", "source": "df = get_bars('huobi.btc_usdt', '1d', count=50000, start='2006-01-01')\nbtc_year = pd.DataFrame(df['close'],dtype=np.float)\nbtc_year.index.name = 'date'\nbtc_year.index = pd.to_datetime(btc_year.index)\nbtc_year['log_price'] = np.log(btc_year['close'])\nbtc_year['log_return'] = btc_year['log_price'] - btc_year['log_price'].shift(1)\nbtc_year['log_return_100x'] = np.multiply(btc_year['log_return'], 100)\n\nbtc_year_test = pd.DataFrame(btc_year['log_return'].dropna(), dtype=np.float)\nbtc_year_test.index.name = 'date'\nsns.mpl.rcParams['figure.figsize'] = (18, 4)  # \u6ce2\u52a8\u7387\nax1 = btc_year_test['log_return'].plot()\nax1.xaxis.label.set_visible(False)", "execution_count": 5, "outputs": [{"data": {"image/png": 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"metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53d6\u6700\u8fd13\u5e74\u6bd4\u7279\u5e01\u7684\u65e5\u5bf9\u6570\u6536\u76ca\u7387\u5e76\u7ed8\u5236\u51fa\u6765\uff0c\u53ef\u4ee5\u660e\u663e\u5730\u770b\u5230\u6ce2\u52a8\u96c6\u805a\u73b0\u8c61\u30022018\u5e74\u6bd4\u7279\u5e01\u7ecf\u5386\u4e86\u4e00\u6ce2\u5927\u725b\u5e02\u4e4b\u540e\uff0c\u5927\u90e8\u5206\u65f6\u95f4\u90fd\u5904\u4e8e\u5e73\u7a33\u59ff\u6001\u3002\u56fe\u4e2d\u6700\u53f3\u4fa7\u4e5f\u80fd\u770b\u5230\uff0c2020\u5e743\u6708\u7531\u4e8e\u5168\u7403\u91d1\u878d\u5e02\u573a\u91cd\u632b\uff0c\u6bd4\u7279\u5e01\u7684\u6d41\u52a8\u6027\u4e5f\u51fa\u73b0\u6324\u5151\uff0c\u6536\u76ca\u73871\u5929\u4e4b\u5185\u66b4\u8dcc\u8fd140%\uff0c\u51fa\u73b0\u4e86\u5267\u70c8\u7684\u8d1f\u5411\u6ce2\u52a8\u3002\n\n\u603b\u4e4b\uff0c\u76f4\u89c2\u7684\u89c2\u5bdf\uff0c\u4e00\u4e2a\u8f83\u5927\u7684\u6ce2\u52a8\u4e4b\u540e\u4f1a\u5927\u6982\u7387\u7d27\u63a5\u7740\u4e00\u6bb5\u5bc6\u96c6\u7684\u6ce2\u52a8\uff0c\u8fd9\u4e5f\u5c31\u662f\u6ce2\u52a8\u7387\u7684\u805a\u96c6\u6548\u5e94\u3002\u5982\u679c\u8fd9\u4e2a\u6ce2\u52a8\u533a\u95f4\u53ef\u9884\u6d4b\uff0c\u90a3\u4e48\u5bf9\u4e8eBTC\u7684\u77ed\u671f\u4ea4\u6613\u662f\u6709\u4e00\u5b9a\u4ef7\u503c\u7684\uff0c\u8fd9\u4e5f\u662f\u63a2\u8ba8\u6ce2\u52a8\u7387\u7684\u76ee\u7684\u3002"}, {"metadata": {}, "cell_type": "markdown", "source": "## 1-3\u3001\u6570\u636e\u51c6\u5907\n\n\u51c6\u5907\u8bad\u7ec3\u6837\u672c\u96c6\uff0c\u5148\u5efa\u7acb\u4e00\u4e2a\u57fa\u51c6\u6837\u672c\uff0c\u5176\u4e2d\u4ee5\u5bf9\u6570\u6536\u76ca\u7387\u4e3a\u7b49\u4ef7\u7684\u89c2\u6d4b\u6ce2\u52a8\u7387\u3002\u7531\u4e8e\u5f53\u65e5\u6ce2\u52a8\u7387\u7684\u4e0d\u53ef\u76f4\u63a5\u89c2\u6d4b\u6027\uff0c\u91c7\u7528\u5c0f\u65f6\u6570\u636e\u8fdb\u884c\u91cd\u91c7\u6837\uff0c\u63a8\u65ad\u65e5\u5185\u5df2\u5b9e\u73b0\u6ce2\u52a8\u7387\uff0c\u5e76\u4ee5\u6b64\u4e3a\u6ce2\u52a8\u7387\u7684\u56e0\u53d8\u91cf\u3002\n\n\u91cd\u91c7\u6837\u7684\u65b9\u5f0f\u57fa\u4e8e\u5c0f\u65f6\u6570\u636e\uff0c\u5982\u679c\u8981\u7528\u516c\u5f0f\u8868\u793a\uff0c\u5982\u4e0b\uff1a\n\n$$\nRV_{d_{j+1}}=\\sum_{i=1}^{60} r_{t_{t_{i+60}(j+1)}^{2}}\n$$"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-31T12:17:55.710895Z", "start_time": "2020-03-31T12:17:54.244326Z"}, "trusted": true}, "cell_type": "code", "source": "count_num = 100000\nstart_date = '2020-03-01'\n\ndf = get_bars('huobi.btc_usdt', '1m', count=50000, start='2020-02-13')  # \u53d6\u5206\u949f\u6570\u636e\nkline_1m = pd.DataFrame(df['close'], dtype=np.float)\nkline_1m.index.name = 'date'\nkline_1m['log_price'] = np.log(kline_1m['close'])\nkline_1m['return'] = kline_1m['close'].pct_change().dropna()\nkline_1m['log_return'] = kline_1m['log_price'] - kline_1m['log_price'].shift(1)\n\nkline_1m['squared_log_return'] = np.power(kline_1m['log_return'], 2)\n\nkline_1m['return_100x'] = np.multiply(kline_1m['return'], 100)\nkline_1m['log_return_100x'] = np.multiply(kline_1m['log_return'], 100)  # \u653e\u5927100\u500d\n\ndf = get_bars('huobi.btc_usdt', '1h', count=860, start='2020-02-13')  # \u53d6\u5c0f\u65f6\u6570\u636e\nkline_all = pd.DataFrame(df['close'], dtype=np.float)\nkline_all.index.name = 'date'\nkline_all['log_price'] = np.log(kline_all['close'])  # \u8ba1\u7b97\u6bcf\u65e5\u5bf9\u6570\u6536\u76ca\u7387\nkline_all['return'] = kline_all['log_price'].pct_change().dropna()\nkline_all['log_return'] = kline_all['log_price'] - kline_all['log_price'].shift(1)  # \u8ba1\u7b97\u5bf9\u6570\u6536\u76ca\u7387\nkline_all['squared_log_return'] = np.power(kline_all['log_return'], 2)  # \u5bf9\u6570\u65e5\u6536\u76ca\u7387\u7684\u6307\u6570\u5e73\u65b9\n\nkline_all['return_100x'] = np.multiply(kline_all['return'], 100)\nkline_all['log_return_100x'] = np.multiply(kline_all['log_return'], 100)  # \u653e\u5927100\u500d\n\nkline_all['realized_variance_1_hour'] = kline_1m.loc[:, 'squared_log_return'].resample('h', closed='left', label='left').sum().copy() # \u91cd\u91c7\u6837\u81f3\u5929\nkline_all['realized_volatility_1_hour'] = np.sqrt(kline_all['realized_variance_1_hour'])  # \u65b9\u5dee\u5f00\u65b9\u5f97\u6ce2\u52a8\u7387\n\nkline_all = kline_all[4:-29] # \u7531\u4e8e\u6700\u540e\u4e00\u884c\u7f3a\u5931\uff0c\u56e0\u6b64\u53bb\u9664\u6700\u540e\u4e00\u884c\nkline_all.head(3)", "execution_count": 4, "outputs": [{"output_type": "execute_result", "execution_count": 4, "data": {"text/plain": "                             close  log_price    return  log_return  \\\ndate                                                                  \n2020-02-13 12:00:00+08:00  10397.1   9.249282  0.000152    0.001405   \n2020-02-13 13:00:00+08:00  10438.0   9.253208  0.000424    0.003926   \n2020-02-13 14:00:00+08:00  10449.0   9.254262  0.000114    0.001053   \n\n                           squared_log_return  return_100x  log_return_100x  \\\ndate                                                                          \n2020-02-13 12:00:00+08:00            0.000002     0.015195         0.140522   \n2020-02-13 13:00:00+08:00            0.000015     0.042447         0.392607   \n2020-02-13 14:00:00+08:00            0.000001     0.011383         0.105329   \n\n                           realized_variance_1_hour  \\\ndate                                                  \n2020-02-13 12:00:00+08:00                  0.000016   \n2020-02-13 13:00:00+08:00                  0.000007   \n2020-02-13 14:00:00+08:00                  0.000025   \n\n                           realized_volatility_1_hour  \ndate                                                   \n2020-02-13 12:00:00+08:00                    0.003962  \n2020-02-13 13:00:00+08:00                    0.002581  \n2020-02-13 14:00:00+08:00                    0.004995  ", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>close</th>\n      <th>log_price</th>\n      <th>return</th>\n      <th>log_return</th>\n      <th>squared_log_return</th>\n      <th>return_100x</th>\n      <th>log_return_100x</th>\n      <th>realized_variance_1_hour</th>\n      <th>realized_volatility_1_hour</th>\n    </tr>\n    <tr>\n      <th>date</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>2020-02-13 12:00:00+08:00</td>\n      <td>10397.1</td>\n      <td>9.249282</td>\n      <td>0.000152</td>\n      <td>0.001405</td>\n      <td>0.000002</td>\n      <td>0.015195</td>\n      <td>0.140522</td>\n      <td>0.000016</td>\n      <td>0.003962</td>\n    </tr>\n    <tr>\n      <td>2020-02-13 13:00:00+08:00</td>\n      <td>10438.0</td>\n      <td>9.253208</td>\n      <td>0.000424</td>\n      <td>0.003926</td>\n      <td>0.000015</td>\n      <td>0.042447</td>\n      <td>0.392607</td>\n      <td>0.000007</td>\n      <td>0.002581</td>\n    </tr>\n    <tr>\n      <td>2020-02-13 14:00:00+08:00</td>\n      <td>10449.0</td>\n      <td>9.254262</td>\n      <td>0.000114</td>\n      <td>0.001053</td>\n      <td>0.000001</td>\n      <td>0.011383</td>\n      <td>0.105329</td>\n      <td>0.000025</td>\n      <td>0.004995</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u987a\u4fbf\u51c6\u5907\u4e0b\u6837\u672c\u5916\u6570\u636e\uff0c\u65b9\u5f0f\u96f7\u540c"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "# \u51c6\u5907\u6837\u672c\u5916\u6570\u636e\uff0c\u5e26\u5df2\u5b9e\u73b0\u65e5\u6ce2\u52a8\u7387\ndf = get_bars('huobi.btc_usdt', '1m', count=50000, start='2020-02-13')  # \u53d6\u5206\u949f\u6570\u636e\nkline_1m = pd.DataFrame(df['close'], dtype=np.float)\nkline_1m.index.name = 'date'\nkline_1m['log_price'] = np.log(kline_1m['close'])\nkline_1m['log_return'] = kline_1m['log_price'] - kline_1m['log_price'].shift(1)\nkline_1m['log_return_100x'] = np.multiply(kline_1m['log_return'], 100)  # \u653e\u5927100\u500d\nkline_1m['squared_log_return'] = np.power(kline_1m['log_return_100x'], 2)\nkline_1m#.tail()\ndf = get_bars('huobi.btc_usdt', '1h', count=860, start='2020-02-13')  # \u53d6\u5c0f\u65f6\u6570\u636e\nkline_test = pd.DataFrame(df['close'], dtype=np.float)\nkline_test.index.name = 'date'\nkline_test['log_price'] = np.log(kline_test['close'])  # \u8ba1\u7b97\u6bcf\u65e5\u5bf9\u6570\u6536\u76ca\u7387\nkline_test['log_return'] = kline_test['log_price'] - kline_test['log_price'].shift(1)  # \u8ba1\u7b97\u5bf9\u6570\u6536\u76ca\u7387\nkline_test['log_return_100x'] = np.multiply(kline_test['log_return'], 100)  # \u653e\u5927100\u500d\nkline_test['squared_log_return'] = np.power(kline_test['log_return_100x'], 2)  # \u5bf9\u6570\u65e5\u6536\u76ca\u7387\u7684\u6307\u6570\u5e73\u65b9\nkline_test['realized_variance_1_hour'] = kline_1m.loc[:, 'squared_log_return'].resample('h', closed='left', label='left').sum() # \u91cd\u91c7\u6837\u81f3\u5929\nkline_test['realized_volatility_1_hour'] = np.sqrt(kline_test['realized_variance_1_hour'])  # \u65b9\u5dee\u5f00\u65b9\u5f97\u6ce2\u52a8\u7387\nkline_test = kline_test[4:-2]", "execution_count": 5, "outputs": []}, {"metadata": {}, "cell_type": "markdown", "source": "\u4e3a\u4e86\u7406\u89e3\u6837\u672c\u7684\u6570\u636e\u57fa\u7840\u60c5\u51b5\uff0c\u505a\u4e00\u4e2a\u7b80\u5355\u7684\u63cf\u8ff0\u6027\u5206\u6790\uff0c\u5982\u4e0b\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-31T12:23:09.889901Z", "start_time": "2020-03-31T12:23:08.737040Z"}, "trusted": false}, "cell_type": "code", "source": "line_test = pd.DataFrame(kline_train['log_return'].dropna(), dtype=np.float)\nline_test.index.name = 'date'\n\nmean = line_test.mean()  # \u8ba1\u7b97\u5747\u503c\uff0c\u6807\u51c6\u5dee\nstd = line_test.std()\n\nline_test.sort_values(by = 'log_return', inplace = True)  # \u91cd\u65b0\u6392\u5e8f\ns_r = line_test.reset_index(drop = False)  # \u91cd\u65b0\u6392\u5e8f\u540e\uff0c\u66f4\u65b0index\ns_r['p'] = (s_r.index - 0.5) / len(s_r)  # \u8ba1\u7b97\u767e\u5206\u4f4d\u6570 p(i)\ns_r['q'] = (s_r['log_return'] - mean) / std  # \u8ba1\u7b97q\u503c\n\nst = line_test.describe()\nx1 ,y1 = 0.25, st['log_return']['25%']\nx2 ,y2 = 0.75, st['log_return']['75%']\n\nfig = plt.figure(figsize = (18,8))\nlayout = (2, 2)\nax1 = plt.subplot2grid(layout, (0, 0), colspan=2)# \u7ed8\u5236\u6570\u636e\u5206\u5e03\u56fe\nax2 = plt.subplot2grid(layout, (1, 0))# \u7ed8\u5236\u76f4\u65b9\u56fe\nax3 = plt.subplot2grid(layout, (1, 1))# \u7ed8\u5236QQ\u56fe\uff0c\u76f4\u7ebf\u4e3a\u56db\u5206\u4e4b\u4e00\u4f4d\u6570\u3001\u56db\u5206\u4e4b\u4e09\u4f4d\u6570\u7684\u8fde\u7ebf\uff0c\u57fa\u672c\u7b26\u5408\u6b63\u6001\u5206\u5e03\n\nax1.scatter(line_test.index, line_test.values)\nline_test.hist(bins=30,alpha = 0.5,ax = ax2)\nline_test.plot(kind = 'kde', secondary_y=True,ax = ax2)\nax3.plot(s_r['p'],s_r['log_return'],'k.',alpha = 0.1)\nax3.plot([x1,x2],[y1,y2],'-r')\nsns.despine()\nplt.tight_layout()", "execution_count": 9, "outputs": [{"data": {"image/png": 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J+yNtKmU/plom1bXwz8bHmnJueepyGc6RAPf/auCakk+We8Cg7xMA8iMoCAA9QvZWPN8UHQJbnZvevS12kXQyd6qrbJ3VTspTdOeQQEv/pE2l7OVUy6S6JmnVz86cXVx5fNDnSJhvh+a63//LhmtKdlnuAWW7bwHIhqAgAPRI1YJc0Q78VZdv1iNPnurpaG/4PS9uNdVsmBaXLuxrSWArGxZJ761BZD6UrbOatzy96Bwy0HJBWbNxiihX2lIS0Z/FPW/QGbUmxe7QXNb7f11xTckuyz2gbPctANkQFASAHqlS9lZcB/4PH3tm5efRDn0RHb/oe84vLKo5Yto41tT82XxTwcraQe4nFknvjUFlPpSpszozO5c786kXncO0gZa6XAfKmo0TV66bDh7TvkMntO/9V0jKNnDRbd3v1zniq28HDp+MDQiaVMr7f51VbfB2kLKcl2W6bwHIjqAgMETq0iGqiiplb8V14KPCmRpFdEjj3nPxvNPYulHNfvqaTK8xMzunfYdOaH6hnFPIUH2DynwoS2c1CPT4+MrTi85h0kBLWQNlvVDWbBzffWR+YVHT9z8hueVrvJR8fNLqvi9AHX1eLyXVN18ddxq+ulhlM7NzevnVc2seL+vg7aBluSeV6b5VhbY3UBbsPgwMCXa6K6epnRN6dO/V+v7+6/To3qtL2yjJk4FR1C7B3QYNgjofDgh2U55usYPhcBpU5kNZdnhNGjBIKo+vE9hN53Bq54TuumG7JsZbMkkT4y3ddcP2leysuuxeXsS1sxfXqqT3X1xyKwHBgO/4JNX96d3b1GyY9336dY746tvtD53w1vEJss9Kw9d+2DjWXLmmYLUs96Qy3LfoDwH5kSkIDImyZg6gGnyju3HPKypI0u2Iclp2Y57ydDuqnJalxKh1dQ0q86EsmcZJ51FS57lXyyf4psnXadpaN3WylxmVWe8jYXHHJ6nuz8zOxS/Wp+WgW7/OEd/nPHN2Udf93Bv0wONzlVg6pK587YexdaM93UCn39fzIt8zel4GO3/ffPCYDhw+ueq1B3nfoj8E5EdQEBgSdeoQoXhxHfioYD2kA4dPFhIk6TZokFa3s5aniE5yWpZSXaY1DqNBrg1ahnUifYEef67Wsn53Dssyba3Xup3y2MsO8/Tubbr54DFfzC7WiJlmZufWvLev7h84fHJNxqG0HBB8dO/VeYvcsYaZllz8J33kyVO664btAw/ow6/fbeZBLG/Qi/cMzsu01x5kXac/BORHUBAYEnXpEPVTnbK7wh34ufmFNTsnmqSPXbl15XlpQZIs3123QYOkrJQ8C7oX0UlOaoSmBQwHWcfqVMc7VYbMh0HyBXqclHqO9LNzWKWNnToV7YgHNqxrqNkYic3Yieplh3lq54RuOnjM+/PmiK0J6C05lytQUZYOvy8gKC2XZdCBESTrpM3czf1yENlrvXzPQWXjZTkG9IeA/AgKAj3Wr053HTpE/VSnResD4U7MzOycbn/ohM6cXV5v5+JWU5Nv2rTyPMkfJMnz3XXTcZrevc3bAc2TqVJEJzOpEep7neB7KbqOZb3m1LGOd6rOHfykQE8vAjGd3jPrELz1TXl8+bUlSdnO4153mCc8rz/eamrf+6/Qr37+iTUBtTzBhPGx5sp9KSxa/l63vXyfM64snehl+es0GOT7rHnbzN3eLwcRzO7lew7i82Q9Bt32h+p0fgABNhoBeqifi90mLcBeFlXaiKFOi9b7vLJ4fuXv8wuLq+pu0gYq3X53WevJ1M4Jjbea3tfJcq7NzM5pxOInQubp2CUtru17nYZZ4XVsZnZO0/c/seqaM33/E7HfA3UcWfk2SCg686Lbe2ZVNnbqVNYOd9J53OuNAHyvv+/9V2hq54TOezLssny2mdk5vfTK2qnTzYatyVTvddtrevc2NUfi7x0vv3quq/eKK/9NB4/pbf/bn3XdfqrTJgxJnzVvmzlpY5ks7ZVebLyUZnwsvn1UxHv6XiNYDqAXsrZZuukP1en8AMLIFAQK4BtV6nd6fZmzWaqWlVSWKUp5dTLCGfc73dTdpMy4uLWjomXJU0/2vf8K71qIaeUN3ituGlgnneT1oyMr5dg41tRtv3xF4nRr3/qNvu8vy7G9/aETWlxa/XkWl5xuf+jEmudWtY7XRZmyFXxrjgbBj6LKVfQ9s0zfYRHybOThO497nVGZ9vq+z+ALYIT51hPcENkcoh9tr+B19h06sWYH2/mFRd188JhuOngscfOTPG1HSTrbHqibm1/I9Ppx6rQJQ9pnzdNm9p1PZ84urmSuBsHbfYdOrATBA1my14q8XmUNoHfqqss363OPPbNmVkawHMDRH5zWI0+eWrUhyYsLi119rjxtlk77Q3U6P4AwgoJAl+KCGEGjINpQDAxLpztPA6ZqN9oqrknSSeDV9zu+gNXc/IJ27T+SeKx907skpZYnbz0JHvNNb5ybX9Clex+O7Tgl7V68fjQ+kT6uzgefK/xa4SxLXyc5z4YtWY+t73v3TberWh2vizIMokTr+gfeOaGHv/nCqroUZBCHO4D96vRlKf+gv8OiZdkQKpB0Hvd6ADHp9ad3b9P0/U+sGbx46ZX0ALOvHrzYbmsFddYXOC2i7RU9L/a9/4rY9ww+na/eJdXPLOVMe32fOg0GdftZw8d6JGFjmajguihdOCbB/8PLsoTbGVmvV1nb3VkD6J2YmZ3TA4/PeZdpWVhcWhUwDN8zurkO96PNUqfzAwgjKAh0yRdYmF9YXLNZQyDvDayM2Q55O1xVu9H6RnWvunyzdu0/UqpjEegk8Or7naSdFZOOtW90Oqk84frta2Qm1ZMgsyIpgyZcZkmpz49r1MfV+en7n9C5807Rryr6OX2d5Kzr3vQiqB5Xx03ZAr+dKON1bBCyfA+DHkSJq+sPPD6ni5prg+XRDmDa9SHpsxfZ6Rv0d9gLcYGFOHk2Wuq3qZ0TsYOmi+dd6rEZW9dor58YYdKtM8f1wONziQFTXz3qdh3WtCBtXL1Lqp95MkLjXj/p83STqVk13WwmEt1wLWtAMBBMLQ4fh6su3xy7LIuU7XqVp92dFkDvRtKAaiDp2+r0OtyPtdMZLEVdERQEupQUrHDSmsBg3htYXCPg5oPH9IWjz+jpHy+safT1q+Odt8NV1hut7/uKy+666vLNqzodZcs86STw6vtZWgPYd6x9o9NhQdDp+fkFXdxq6uXXzq3JGolKqydZMmiCRvori+czZdpEP2NcnU8qd1rA25dBKGlN4DnrsR1vNWMzlOPWXgy/f3BuZs0+yXud6WfWVpmDj77M8lse/KYuajY0f3YxMSDQr0EU3/Xdd95EzwJf8D+tDhTZ6avaQFRWwSBIUlAw2Bk6eH7Z+AITScdmZnYuPiAoyTnFTmUM89UjXxsrbmpuJ4Novs+WVD/v3rMjdsfvLK+fdp4lZWreOnO8kIzfXspzfe92M5G4779hpvPOact4Sy+/es47I0haO7U4ro4G18os16s87e5etrl7uVFJkk6XPiiyzpS5fQF0g6Ag0IVgk4KkxqDT8iK3eTrP4RvO2dfOrWkEOEmPfvf0yr/DjdhwELKXHe+8Ha48jbN+3XTTGs/R7K5d+4+UOvOkk0Zg3oyEsLhjnaWhF2SjSUpsUAeyBAXSphEHkjrSccKfJ28j1kmpGXfROuark1l33Nz3/is0/YUnYgOzcVPzgn/HdUB9dTtvgG9mdi7TjqNFnPf9CD52U05fhsXC4nkthNYLS8oy78f1sRedviwd2iLXuyuiUzyoDmDa+2Y5PtG6n+ezpD232++lk2y1tA2QkgJoDTN94J3x2dpx9dLXhkoaREtaJ1ZaznIMBnvGx5prR4zbtoy3NLVzQkd/cDo10Bn9Pd/nia6j58vUzJrx26lu603e63vwPf7R157VknMyk0xONx88pgOHT656f999KmrJuZVgsbQ22z9J0kyILNerpPWaL9v7cFe7K4d1mtEd8N2/fJ8rj7xLH3RSZ6T4e9AwLkkBBAgKAh1K2qQgbGK8pUf3Xp3rNcM3nKxc5P+BhcUl/ernn9DNB48V2qnJ2+HK2tnr5003b7bjIDNPsjSmOxkVf/lV/1TfNHHHuojGYvi5eepslmnEeYU/YycB1Lz111cn14+OrOl0xh1b3/TCuOnQ4fdMm7adtrZSWgDRd53Mmt2SVa+njHZbzqzXCl+W+VWXb/auYRssbF9EIKubwYJAsAtl8N5Zr595O31Rvul/UnqnOPzdRbOYu70XdTtFNfy+WY9PUPclZa63aZlzeTPm4z53J+sKdnOfXXJODzw+p8k3bZK0uh2S9j2Gp4H6rpPB9xIEn+K8/NqSXn5t+b18g1PRJUoubjVlJs2fXVz5+5mza5emCdfrLOeZL1Mz68BQJ4q4xue9vgdr3wXHxLnVm7UE7583ABv87l03bNddN2xPnc6fJjgv0tpvSfU12Cn35oPHdPQHp3Xn1HZJnWXVdZLRHXZRc0TnzjvvTIq463CvBiKS6kzw8+Bce+3c0kr92DjW1Meu3KpHnjy1EkSOS9IoU2IA0A1zOddIKJPJyUl39OjRQRcDNZR1RLHVbOiuG7ZnXldp1/4jhQY08pQpj5nZucSNVPLuhpdlMee04GonDYbL9j4c2wg0Sd/ff92ax33HJ0vgt5uOerSRFhhvNdfscNdpxzOvVrOhD7xzYs1UI8k/cp5lilVY3OdLk/S5Ws2G1o+OZMpOjCvDzOxcbEc2i6z113f+m6S79+yInWqc51oSnJtZO8UTns6Kr4zR8ybtmhZ8L92cW2F5z+m8ui1n3mt8NMs8qY40G6Y9P39J7Lpqec+lbq8PgfD9xvfZN441Nfvpa7p6n0BcuYMAStp9Ketnzlsnfa/tuxdnqWN5jk8wuOKrN0FA60+feCHTtdE3sBP3vSR9bl8bomGm3/zw2zN/L3lFy59noCpOcC9MW88wTcNMH3332vM3Wk+i7a/oTvdZ6k+e77Is104p/foeN9MmLVi3cayp+bOLHdWBoOzRYzJikm8VlbiAbnB8w+WP27FXyp6Z+PErt64EBvPIepyiZX3plXOrZig0R0w/cdGo5s8upu4+7LuetZojuqjZ8AbC49qg0euGr84Er9HtPU4q7hwBOmCFvRBBQSCfrI3xoIEXvSknNZLzriHTqU46NYGsnz9r8DHr6yXddONeo9kwbVg36m2ESNkaP7fOHL8w9UTSyIhpKdTwyfI583QI4yQ14PMGedOCT77A3XirqQ3rR73rK4bLIsmbqZO3AxY0/KId1qQgR/gzBp8nPN0nb2Av/B3vuP1LuYKKgbz1Nyrc+fBlMoXLmnQtydMQ/nh7pDxLB3LEpN/68I5VxySpQS5dOI6+8vqCob6BlqTAR56Mbd/75e2UZu38xIkLlqV9n0md0aKvFWFp53UQeDr49WfXnHvNEdOBD60NAqWVK+477ibwkDVQ0kkHME+5ko5xOEh81eWbV3WIfeubBb/Tj7aFSauy25IG+ZLKFFdXiwpU+8rdaVAoLVifpwy+ZSKkC/fmpKCSlK29kRQ8j/uMWa6dade+vAM20ddLysTMM3hVpOD+lOd9g0BXsH5s3P3sY//HX61aImj591a3r9LO6aBseQeNOxlY6/S6m+cek0XcdcNXtryD1Em66VMBXSIoKBEUxGDsvONLmacJxI0A+m5+G8ea+v8WzsXepFrNEb2yeL6wRn03o1p5RpiL7IgFr5cnuBeWtZMRft6tM8f1h489s+a1Nqxr6OxrS5kz/joZeQ2/dlogIE+jPWtANy2AWXQ2QieCYIKUbYpMWoZrko1jTY2tG+3q83Raf8OdgayZTFK+5QeS3jtPJ6vZMB344IVj0m1AyUwaHbHYwGfwPd46czxx6pcvEyNr0C5LtltSpzS4foezPbJMNxtvNXXsttVBwW7PqU46L2nXnyJ0cw0LH59uMkXzfM7wudxNRzsoW5YsX1+mzMPffCFxOmoR0xt7YWNCAEzyZx4WvUREtDx5AoRpgxqdvH+nvzu27sKg3aWva+mx753RknOJA9TRwbO0gKNPlgxd33ELb9zhW7stzXhoanU/dXqvNUkfu3KrJt+0ac214wtHn1kTEAy/X/icyJqJL/mvnS2wV64AACAASURBVNFsu7TsylZzRKYL07DTPqdvUK9XQf5ofZLWtpuaDetoxodPJ7NagIIQFJQICqL/ZmbnUjcyiNrYTpvvJBAhxY8OhrMEkrKxfCNhcVMIs67fkbeDuDFl2kDe14trpGZ9jaRORtz38OZbvhj7/TXM9N27/kXse8S9XlKHIciYSMr6SusERbOUwo388QxZG2Ebx5q67ufesDIi3zDTlf9k45qdrpM+09Ptznc/gglS8nScQC+zTCRprDkiJ+sogzYtM6iT5QXuyZm9kCQp+yzOxrFm5h2eOxU0/C/27LYcLkswtS5u+ncQxMyaaZYUlMoSrAgf/0v3Ppzpc0YzXfPeg8KKzHIrmm8N0TzLS2SdelvE8h2+aaNx05WzDCYmBf87yWQLB4M6zXDupeaISZa8g/s9kUynQC/uLcF3HL5njmeYWhpMk+wmINVqNmRymQItnb6+bymbrNPtO8nQjb5mWj0OZniUra7GKaKsjcjMkyzBqmi2cNKAWPh6n/X6luW8zCquLZDnflmEj0eCr3FTnYtQxNJMQAcICkoEBdF//eocBYJGfXjqZBC0CY/shQOE4U6kb7pWK2YR4Gg2TTcd3yThhlSn6fvR6b1x2Xw+WTevSAsAP+2Z7hL3vV3UHIntMGTt6I3HBAzDipw6MyKpkdIwNUnrRkf06rnedGCKkHdEPdDpNLKx5ojWjTYydRDyDBSMt5orAfU8a0B97MqtmdcIG2ZZp/dNpAS7w50r3/T0vBnUnQShktZiyyocYMyaYdvpWpqdCAcl4pYp8P1OMDCSlA3j29l5XcP0WgefL+0eljdwELdMQDebvpikX3jzJm/m0aCNt5r6h1fiZ0gE4tZG63VbLO86geOtpl4919lASNDOy9OO6UTcoGjS95jWlgwPqGQZ4AikDVqXgUkaHZG6idGua5iWzqunn7HVbOgdWy/2nt/h9TnzBNKLKHvSGs557pdFCLejsqwz2SmmEWMACApKBAXRf/3KfMrL14Btjiw3urIOiAWNv6TG6a43b9JXv3t64N/D0/uvyx0QDIubNhEOriYZMekfXXQhQ8lseVe7pPX4Ou0whK2PCcRVoYE9CNGMqCznbtA5iwukY/glBfCjwZpuOjRJAaw0K3X0r5/tKtOh2TDJadVrJGUTTX/hicIzK7LIGqQPTxm76vLNq6bUxg2ClVX0utXL6bJlkGdNtuiU7V6vH5c3Q/rjV27teWCvW9Hsv27btEEmdt7p0/1c57ITu968SX/9/TMDueblNZGSMdjvzLygTGkzSoYRG45gAAgKSgQF0X+9GJ3esK6hl1/rvmHbz6DQW396g77zw5f78l7DIrzmTbe7HSJdcD5E/58kmGbSzfRMVFtSAH+sOaLFAoJLcVNZw1mHWbSaI1ro0VRD6cL5s3FsefCjak3F6LS8qtiwrqHf+O8udOD7da9oNUe0PmOmc5GC4EGe7NfgOyl6reVuJQ0qlFUwoNmNTrO+yjyQmTcgPGgfv3KrHnj8Oe89oZ9Buqp9d0XasK6hE3dcO+hioF4ICkoEBdF/3WSmDZMRW27QVWEUtUyq2lHttaRpJv3UHDGdlzhGNTfWHOnZ2l5S8qLkeTayAorWz2l9zYZpz89fknmKbqbXHDE1G9bT8zdJ2lIfwKD0e8puXfnWQQV6pLxBQTO7VtJ/lNSQ9LvOuf2Rn6+X9H9JeqekH0va45x7uv2zWyR9QtKSpP/ZOXc46b0ICqLf+r2mIDDsgjVvpGw76xaFbE2UQTD9Tsq+WzMwDMZbTW1Y392O7sCw6Gb3aZQH6wqizwoLCo4W9UKSZGYNSb8j6ZckPSfp62Z2yDn37dDTPiHpjHPuLWb2EUmflbTHzN4m6SOSrpC0RdJfmNnPOOf600MEMniexitQqPPtgakDh0/2LSAoERBEOZw5u8h0dRSmCuvaBeYXFvVizTdCAgJnzi4WMp0bg0U/EVU1UvDrvUvSU8657znnXpP0x5Kujzznekn3tf9+v6T3mpm1H/9j59yrzrnvS3qq/XpAaWwZbw26CMBQGR9r6pYHjxeSLTIx3tJ4q1lAqQCgeh54/LlBF2GV1BSGwnIcgOojIFh99BNRVUUHBSckPRv693Ptx2Kf45w7J+lFSa/L+LvAQE3v3kYbFihIs2FyToVkCAZTNva9/wq1mo0CSgcA1dLLzWc6kRbjIAgCYFiYlvuJQBUVHRTsOTP7pJkdNbOjp06dGnRxUDNTOyeYdggUpDlihW0u8vz8wspOrguLS2oY4XugjFrNBhm9WKVhJmv/H6gSaiwCH7tyK5uMoLKKDgrOSbok9O83th+LfY6ZjUq6WMsbjmT5XTnn7nXOTTrnJjdv3lxg0YFsJkgNBwpR5A6RjRHT9P1PrExDXiIFBSilc0tLA99pHOVy3jndvWdHR9ftKrTJJsZbumfPDt2zZwdBpCFDSwPScnD4zqntgy4G0LGig4Jfl/RWM7vMzNZpeeOQQ5HnHJJ0Y/vvH5R0xC1vgXxI0kfMbL2ZXSbprZL+uuDyAV2b3r2N6YlAyZw777S4RPMcKLuSzXBFGZg62nBnYrxV6jbZPXt26On91+nRvVdraueEDhw+SRAJGEJO0szsmlwmoDIKDQq21wj8lKTDkv5G0uedcyfM7A4ze3/7ab8n6XVm9pSkfytpb/t3T0j6vKRvS/pzSf8TOw+jjKZ2TugdWy8edDGAnpsYb8na///4lVvVHCHHAQBQrE4Su5sN01WXb15ZMqJsM4/HW801Uwnz7kwa/UjNESPTECipWx48TmAQlWWuwlOsJicn3dGjRwddDNTIzOyc9h06wdQnDL1g446wYM2+InYKTnrfqy7frD987JmevQeA4TAx3urZ9WisOVLoEgconqm80zfv2bNjTVBw1/4juepr9PO1miOl20wGwAVxbWeghwobJ6rcRiPAoMzMzumWB48TEMTQazUbsTuoTe2c0PTubT1dDP7S17X0yJNsIlUkMkswjDaONfXo3qu9a8p1W++//Zn36en911V6U5QynPu9/P7KGBA0SR8PbTgwMzunXfuP6LK9D+vlV8+p2ch+VKKfj4Ag+qmZEiVojlilr4+9kDcbGCgLgoJARsEUFaAs1jWKn0rUMNNdN2yP3UEtCIz3chOPr3739KpMilazoQ3ryrleVBWYlnfEA3rN1N9G5UuvnNPM7Jx3TbmLmiPaONZZhzUcaNz3/iu6XrNuULvq9iNolvTZGmaFfH9VsWFdQxe3mvrcY89o1/4junXmuG558Ljm5hfkJM0vLLL2bQ4bx5pqpUWmemj9aLW6yXFtpW7OvaQYdMNMBz709lqd31lsqcDGR0Ccal3tgAFi9Ad59bof+NqS01t+ekOhr7nknG4+eEyX7n1Yu/YfWbU+SieB8SBwmfWrWJsZsaSXX1v7niMW3wDGahc1R/S5x54ZeMZQq9nQx6/cWvvOwz17dmTeLbXZsELW8TRJu968qbDAVFygzST9wps3qdHHdUcXzzsdOHxSUzsndNcN29eUa2HxvM6cXVTeIkUzpX2vL134bpOOU3PE9NF3X+J9zsev3FrpXWmTBomWnNPUzgl94J0TAwuM9tPZ15Z31naS5uYX9LnHnhn6weSNY81C1xsO1jG+Z88OzX76Gr3Sh+zIuNK3miN69dxgMjPzBkKbI6Z79uzQiTuuXbnHmJaPTa8Cm+fb53Zwfvfi7N441lzZtTu4b/byOtJtPfbNsgGqgKAgkNEwj/6kNRo6zbYoi3Aj8549O3raqGg1Gys7Dn7/ruv09P7retrZ+96ps4W/ZtDFm5tfWLVwcidrd21YP6rv77+uwNItu2h0ROe7TLgYbzU1lrPxHVSdtMDOeKuZa5pY1IiUO5gRtmFdQ80R08LieTkNdpqdmfSBd07ozqntuuuG7X1p3AfGW83SBCKDjQeydBqWg96jWjzvVr6nuK8ryzfoJD363dP6yYtGu6qT0nK9H1s36n2PxW5Pypzm5he04/Yv6faHTujM2filPc675AGE5ohp41hz5T4Rlyk9tXNCs5++Rvfs2bHqfnhxq6lvv/AP3s9tWg5ePvLkKe151yWrptoFHd47p7ZLkkb7GFDNc31Ku9YlnccT4y3NzM7pgcfnepph3g9ZrlfRT9jPT9ww08ev3NrX4OvEeEuzn75GBz709pV6En73vCWZGG/p++3dmqXlNRi7+Q6D9w82S/O1ZYOs4iCQFtw7ByXPe4+3mjrwobevXLOmdk7o0b1X6+49O/TK4vmeLXkU7hM98uSpwuu6Sbrtl69YCTw+uvdqPb3/On33rn/Rkzb1hnUNHfjQ2zueDp00ywaogrUtOwCxpndv0y0PHu/pqG+r2dAH3jmhBx6f69vocrAo7szsXGzHqtVsdLQzYD9kWWQ8btHfoz84nbiRRdrrhhf7HmuOaH2zofmzi9oy3tL07m2rGgUzs3MaMetZh2jJuZ4utr+wuLSSjdPo4HOcObvYk++giA0A5hcW1RwxjZhSA4wmrQlu7rj9S94G9/zCYscN14l2PZKWszOfn1/Q+FhTzim1gR/8bq83hMnDOemBx+c0+aZNKw18afncuOngscyvs5w9Yauujc0R009cNKozZxe95+0H3jmhR548pefbU/j8r98o5Lrbao7olXYwNmCS/tu3v0HScqctbcOq86FjHZw3cafPRc0RnTvvMk1JDOr7xrGm5s8u6uJWU2ZauXZddfnmle9pfKypl145tyrYFWRB5DlmRUm6Jmfp9I6PrdOJO5bvA8GGSc/PL6y5Zgc/u/ngsdjruaRVmUtp7x0eYHng8Tlvp/HA4ZN9D6g2Ryy13gTHPKm+fvTdl+jgXz+7pvzNhq1ci8qSLTceqvPjY01vIDlq41hTs5++JvdGIf103jndObVdn+vTJl3hrKjwdT3K17aMMi2fJ7v2H9FVl29ObQe3miP6m8+8b2VZk/BzW81G7Ll259T22PIst+dMd+/ZoQOHT2auF4O2caypsXWjuvngMR04fHLV9er2h0707LwLH/uZ2bmenBNOy7v5SlpzHLd42rxJbdS0dv342Drvz5oNk5y812hffQOqhN2HgRyinYm4hkvazSMQ7rxHOydx79OL3VjjbmRxHaabDx4rdBSw1WzoHVsv1mPfO9NxoChLgMp3o05q2G8MBV/iGhEjksLhqKTGQFxjNatgtDKt09kw029++O09DVgHAbFL9z7c0e8XFWzJ837v2HqxHv3u6UzPH281tWH96MoSAXG1amMkKLdxrKnrfu4NsZ3hbmTZuS5LJ+iyvQ+XbhH+8Gfr5NwwaaXT5gvo+AY2gu/Gd+5Hr8cXt5paXDq/MnV9vNXUa+eWMgWjg3UcP/fYM5GdQy+UY2Z2rrDrajgwmkXW3RF9wbM33/LFXNftIBDTaUc7ONe6GSyLC+pH+c6rcFC528GNILgUVdbzNdwmmf7CE2uudbvevElP/3hBc/MLq+6XG8eaK1k+nXy28PeeFHDYONbUK4tLmTKrovU+zznYHFlePy3p+YPeCTn4fL0KXAbXmaQBUN+1Oe7nwSBEtO5I2b7L8Dmd9t5Rvu9oY45A8aAFicXhU7LZMB344NslKXHwxrQcWLv0dS199bunc9Xb8Lmddh8fbzW7zlSMu1/5rtVp94f0Af+1rxF8XmntIO2LC/HnAtBHhSXOkikI5BBc9IMbwyNPnlrVYdjiyfCJy7i46vLN3kZM3KhrWuPYZ2PM+wePBzf26GeMPpZllDerichn7bTDkHTzDxo8vht10vqQryyeX3ltpwuNiInxll5+9dyaBk44ky4qb4ZEEOALfzdpPvruS9bUy6I7JsE0EV9Gou+7CcR9Bw0z/eRFox01GE3L0/bifrdhtnJOZvXiwqKO3bbcUY9rbDYbphfPLq4KBp85u6iDX39We951Se6AQcOW1xiLC3I8P7+gS/c+vOY8CYse77i67htJ76Tj2mo2tH50JPb7Hm819eq585nqefi86yR7aMt4KzEjZWrnRGyWR/gcjcv4DrIe0rJdpr/wROZyxk2nCpdjaudEYRl3i+edxtaNavbT12QKtmZdH9f3feQJirWaDe17/4UO5K9+/onY308a5BlbN6o7p7Zr8k2bOs6AzbL8R1ydXFhcWhXc7TbbOciczpr5Il24n/UrQy2uEx53zYkOijrFD5JlKftYc0RmthKEXz86osk3bdKdU9sTg1xj65aDVFnMzS/ozbd8UR999yW6c2q7Dhw+mflaGKxfmZSh5LumdysYtIoLngXCmVtFzWpJCwKGRa87wdIjgXC9uXvPjlWvE3d8sxyX8DmddO2O47sG9jIgGD6ORbxW3CDV4pLT7Q+diF3iIRA+v/NMzx5vNVeu5YGk+3izsbzJULezFuKOla8NlPZeTv57TcPM+1mS6i8wLAgKAjnENXzCU4Kio5XBzSMtw3BufkE3HTymfYdOrLnpBjpp6Jm00lHMM4oaVVRCcVxnI0uHIZzJlXbzz5IFk9Swj36/QUDw0b1Xe4N0vgZmUuc7GtjM25kaMelfvnvrynpU4UaxrxPVyfTftM7Gqp/HZJL4nHdOLyYEBIPOT1wGwceu3KrJN21aUxbTcqc9mqGVJtq5kFY3An0Bz8Wl5bXCgun3WYI84eM8+aZNawLu0fUcw2UKS+sEXXX55thMtQ+8c0IPf/OFlfdsNUd0UWT6e/TzB4/FHft9778wgp7UaZVWf895N27KuoB32rmYJaAaJ+v0zqCcN3vqQrh8RU77j/t8vtfudn3crOWOrrEU/N+XjefLhg9/tqRsT59u607e21/aIEncIFJSRn5axn5wXc+yDEKapO8qes3Ztf9IbBA1+vnS2i5BsCEcRJpfWFz5d9K1IjiHs9aHJedW6lnea9Dz8wu6e8+OxCztyTdtKnx6fXTQKji3g+MeHUDKcg0IC4LO4eUD8rYTfQH12x86sWqgNe6+1sk1sNsNHXodZG+O2JpEgPDgSKdB23D71jdz48zZxcRAefh7y3oO+NrVSb+/Yd2o95qfZ3DSd7/ytYHSvtsl59a8f1KiwZmziyvtpbR2GVBlBAWBHHwNn1/9/BO66eCxVTea6M0jrTEtrW4Ix2XwBWUINwiTBDfTvKOoUUnBm4BJGm341yjyNeLSOgzhxlRUUoAqiS+45StD0PDxNSR9jRbf85OmjmcpZ9raJXk/n4+vU59U7qwdkeA78z3Xhf4fztb0vZ9Fficq+N2kOuML6idlbM61M/uS8vcbZjrvXGxGcNL6RUlZqEmChf2j38M7tl6syTdt0gOPX9hROryWUvh9fO+ZlN0cvLdvCm/43MzaKQt3WNPWekt63W6ySqTkzs/EeGvNd+I7D7a0N17IEkTNI+7z+aZYdbs7YpYBKtPqLOZw2aT4evSnT7wQG0iLXl+nd2/T9P1PZFpHMc/i70UECsJr9PqCQ77Ml6M/OB0byA++H9/rnXdOT7enUd46czzXoEjcgFvWcyPrYFh4jbO460KQTeQLMCYdly2e63qaP/ras7mPd5CpLCVfB/NmRqW15cLXjOA970nJVgquAWkzMbIuJZAmT+bdwuKSbgqtgZd1sDKpHZBXEdmUvnKnte+Szockea7dvrodbHaV9rwwk7zvm/T7Qb8hS5axFL/0Ut77VdaAeHSgOctSBYFO22VA2REUBHLwNXxWFoKPPO67eSR1MJNuOHHBRd9NrIjOXyBLw8G1/+NbxD7LVMikdYmSfq+TDs360ZGVBknwPkkdeSk9Uy6qk6mK0cZ/3PT0tM/Y6dSKqPPOrXqvtIzTrB2R8HeWZQQ5nK0Z/ZxZM4een19IrDNJ058y13/PZ00KSqSN1OfNZpH8U3q++t3T+vYL/5ApuydOlmBaOCAVl224a/+RlTX7mgmDCIHv778u9thM3/+E9h06sWZNn7znaCCtbicF+OM61b5yXHX55lWPhz990rSmj777Eu/6W77P1+010ifudaNrUzlpJfgcd/2KK0OQLZbl2C3lyEjO+nnjjpkvaGu2NoM+uvGCb3MO3yBSeIp03PHyZWiGXy86zTop6OwbcMs6syDPIFlwzG+dOa4/+tqzWnJuZamHqZ0TiZm1d+/ZEZuFHmxk0kmQZck57zkat9lb2qYa4e8s67UtXBbfoF3cNSNPtlLSvavfbcSoYIZMEl82ZLfyzAiIk1ZP0u6VSQOCwSBi2rp1vvX6xltNb90OMvsDWYKjTv56lpTBPD7WXLnfx5U/7londX+/Cr77rGtgOy3fo/IEijtplwFlR1AQyKGThk/czSPtdbLecHw3saRgWiey3izDa1vl4Zti8ErK4uGdZPzEZc8E75MWUMjbyc77/LTp6XlknVqRtF5cuHOXFDSLBoGS1tYLNuwIMr6i01l93ajoORF+vzzrD/m+l6RMlend23JNjQ5LO3Zp14JOpnomTYP0dZqLbuRGv+eZ2blV2V3zC4saseSF3Ru2nH8Zd2wWl9xKnY3rJOfpWKTVbSn/gEBSYD7uOhpk1sV1MrNsBpV0DepFRkP08/3di6/EDoqFs9aSgrlxr+n7bLc/dCLzNNk850/WjJbgmKSVNU+QM1yGpA54ltcLv0Y0WJU2UJflXMhTnuj7v/zauZV7w5JzK7uSJwUYg/cNB1mjbZy8gYCGWWJ9SwrORkW/s2CX76yiO8ZHA2FJU3M7mW0gSRvWNdRsjMTuWtsJX13wtS2yCgKmRQYEA3H3KF97+rqfe0Ps4EaeehLlu+eedy51UyRp+foSbZc0R2xVoD9tl/XgvLyoOeK9D08kXEN9Gc7NhumlV84lTrv1XeuKOs55lufwDRr7AsXdLsEBlBG7DwM5dLIWSNads9J+xyc68h4sol20aEc0aVH0LA2aqKRdQYuY3pL1fbpdf7G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\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u4ece\u7ed3\u679c\u4e0a\u770b\uff0c\u5bf9\u6570\u6536\u76ca\u7387\u7684\u65f6\u5e8f\u56fe\u5f62\u4e2d\uff0c\u5177\u6709\u660e\u663e\u7684\u6ce2\u52a8\u805a\u96c6\u548c\u6760\u6746\u6548\u5e94\u3002\n\n\u5bf9\u6570\u6536\u76ca\u7387\u7684\u5206\u5e03\u56fe\u4e2d\u504f\u5ea6\u5c0f\u4e8e0\uff0c\u8bf4\u660e\u6837\u672c\u5185\u7684\u6536\u76ca\u7387\u7565\u5fae\u8d1f\uff0c\u53f3\u504f\u3002\u5bf9\u6570\u6536\u76ca\u7387\u7684QQ\u56fe\u4e2d\uff0c\u53ef\u4ee5\u770b\u5230\u5bf9\u6570\u6536\u76ca\u7387\u5206\u5e03\u975e\u6b63\u6001\u3002\n\n\u6570\u636e\u5206\u5e03\u7684\u504f\u5ea6\u5c0f\u4e8e1\uff0c\u8bf4\u660e\u6837\u672c\u5185\u7684\u6536\u76ca\u7387\u7565\u5fae\u6b63\uff0c\u7565\u53f3\u504f\u3002\u5cf0\u5ea6\u503c\u5927\u4e8e3\uff0c\u8bf4\u660e\u6536\u76ca\u7387\u670d\u4ece\u5c16\u5cf0\u91cd\u5c3e\u5206\u5e03\u3002\n\n\u65e2\u7136\u90fd\u5230\u8fd9\u4e00\u6b65\u4e86\uff0c\u5c31\u518d\u505a\u4e2a\u7edf\u8ba1\u91cf\u68c0\u9a8c\u5427\u3002"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "line_test = pd.DataFrame(kline_all['log_return'].dropna(), dtype=np.float)\nline_test.index.name = 'date'\nmean = line_test.mean()\nstd = line_test.std()\nnormal_result = pd.DataFrame(index=['Mean Value', 'Std Value', 'Skewness Value','Kurtosis Value',\n                                    'Ks Test Value','Ks Test P-value',\n                                    'Jarque Bera Test','Jarque Bera Test P-value'],\n                    columns=['model value'])\nnormal_result['model value']['Mean Value'] = ('%.4f'% mean[0])\nnormal_result['model value']['Std Value'] = ('%.4f'% std[0])\nnormal_result['model value']['Skewness Value'] = ('%.4f'% line_test.skew())\nnormal_result['model value']['Kurtosis Value'] = ('%.4f'% line_test.kurt())\nnormal_result['model value']['Ks Test Value'] = stats.kstest(line_test, 'norm', (mean, std))[0]\nnormal_result['model value']['Ks Test P-value'] = stats.kstest(line_test, 'norm', (mean, std))[1]\nnormal_result['model value']['Jarque Bera Test'] = stats.jarque_bera(line_test)[0]\nnormal_result['model value']['Jarque Bera Test P-value'] = stats.jarque_bera(line_test)[1]\nnormal_result", "execution_count": 7, "outputs": [{"output_type": "execute_result", "execution_count": 7, "data": {"text/plain": "                         model value\nMean Value                   -0.0008\nStd Value                     0.0167\nSkewness Value               -2.4206\nKurtosis Value               57.1471\nKs Test Value                      1\nKs Test P-value                    0\nJarque Bera Test              111956\nJarque Bera Test P-value           0", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>model value</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>Mean Value</td>\n      <td>-0.0008</td>\n    </tr>\n    <tr>\n      <td>Std Value</td>\n      <td>0.0167</td>\n    </tr>\n    <tr>\n      <td>Skewness Value</td>\n      <td>-2.4206</td>\n    </tr>\n    <tr>\n      <td>Kurtosis Value</td>\n      <td>57.1471</td>\n    </tr>\n    <tr>\n      <td>Ks Test Value</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <td>Ks Test P-value</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <td>Jarque Bera Test</td>\n      <td>111956</td>\n    </tr>\n    <tr>\n      <td>Jarque Bera Test P-value</td>\n      <td>0</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u5206\u522b\u91c7\u7528Kolmogorov - Smirnov\u548cJarque - Bera\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u539f\u5047\u8bbe\u5206\u522b\u662f\u5177\u5907\u663e\u8457\u6027\u5dee\u5f02\u548c\u6b63\u6001\u5206\u5e03\u7279\u6027\uff0c\u5982\u679cP\u503c\u5c0f\u4e8e0.05%\u7f6e\u4fe1\u6c34\u5e73\u4e34\u754c\u503c\uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002\n\n\u53ef\u4ee5\u770b\u5230\uff0c\u5cf0\u5ea6\u503c\u5927\u4e8e3\uff0c\u5448\u73b0\u5c16\u5cf0\u539a\u5c3e\u7684\u7279\u5f81\uff0cKS\u548cJB\u7684P\u503c\u5c0f\u4e8e\u7f6e\u4fe1\u533a\u95f4\uff0c\u62d2\u7edd\u6b63\u6001\u5206\u5e03\u5047\u8bbe\uff0c\u8bc1\u660eBTC\u7684\u6536\u76ca\u7387\u4e0d\u5177\u5907\u6b63\u6001\u5206\u5e03\u7279\u6027\uff0c\u5b9e\u8bc1\u5b58\u5728\u5c16\u5cf0\u539a\u5c3e\u7684\u7279\u6027\u3002"}, {"metadata": {}, "cell_type": "markdown", "source": "## 1-4\u3001\u5df2\u5b9e\u73b0\u6ce2\u52a8\u7387\u548c\u89c2\u6d4b\u6ce2\u52a8\u7387\u7684\u6bd4\u8f83\n\n\u6211\u4eec\u5c06squared_log_return\uff08\u5bf9\u6570\u6536\u76ca\u7387\u5e73\u65b9\uff09\u548crealized_variance\uff08\u5df2\u5b9e\u73b0\u65b9\u5dee\uff09\u5408\u5e76\u89c2\u5bdf\u3002"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-18T14:25:40.169148Z", "start_time": "2020-03-18T14:25:38.678510Z"}, "trusted": false}, "cell_type": "code", "source": "fig, ax = plt.subplots(figsize=(18, 6))\nstart = '2020-03-08 00:00:00+08:00'\nend = '2020-03-20 00:00:00+08:00'\n\nnp.abs(kline_all['squared_log_return']).loc[start:end].plot(ax=ax,label='squared log return')\nkline_all['realized_variance_1_hour'].loc[start:end].plot(ax=ax,label='realized variance')\nplt.legend(loc='best')", "execution_count": 11, "outputs": [{"data": {}, "execution_count": 11, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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\n"}, 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"markdown", "source": "# 2\u3001\u65f6\u95f4\u5e8f\u5217\u7684\u5e73\u7a33\u6027\n\n\u5982\u679c\u662f\u4e00\u6761\u975e\u5e73\u7a33\u7684\u5e8f\u5217\uff0c\u5c31\u9700\u8981\u5c06\u5176\u8fd1\u4f3c\u8c03\u6574\u4e3a\u5e73\u7a33\u7684\u5e8f\u5217\u3002\u5e38\u7528\u7684\u65b9\u5f0f\u662f\u505a\u5dee\u5206\u5904\u7406\uff0c\u7406\u8bba\u4e0a\uff0c\u7ecf\u8fc7\u591a\u6b21\u5dee\u5206\u540e\uff0c\u975e\u5e73\u7a33\u7684\u5e8f\u5217\u5747\u90fd\u80fd\u8fd1\u4f3c\u6210\u4e3a\u4e00\u4e2a\u5e73\u7a33\u5e8f\u5217\u3002\u5982\u679c\u6837\u672c\u5e8f\u5217\u7684\u534f\u65b9\u5dee\u5e73\u7a33\uff0c\u5176\u89c2\u6d4b\u503c\u7684\u671f\u671b\u548c\u65b9\u5dee\uff0c\u4ee5\u53ca\u534f\u65b9\u5dee\u90fd\u4e0d\u4f1a\u968f\u7740\u65f6\u95f4\u53d8\u5316\u800c\u53d8\u5316\uff0c\u8868\u660e\u8be5\u6837\u672c\u5e8f\u5217\u5728\u7edf\u8ba1\u5206\u6790\u4e0a\u66f4\u4fbf\u4e8e\u63a8\u65ad\u3002\n\n\u8fd9\u91cc\u91c7\u7528\u5355\u4f4d\u6839\u68c0\u9a8c\u6cd5\uff0c\u5373ADF\u68c0\u9a8c\u3002ADF\u68c0\u9a8c\u91c7\u7528t\u68c0\u9a8c\u6765\u89c2\u6d4b\u663e\u8457\u6027\uff0c\u8981\u6c42\u5e8f\u5217\u539f\u5219\u4e0a\u6ca1\u6709\u8868\u73b0\u51fa\u660e\u663e\u7684\u8d8b\u52bf\u65f6\uff0c\u5c31\u4ec5\u4fdd\u7559\u5e38\u6570\u9879\uff0c\u5982\u679c\u5e8f\u5217\u5b58\u5728\u8d8b\u52bf\uff0c\u5219\u56de\u5f52\u65b9\u7a0b\u5373\u8981\u5305\u62ec\u5e38\u6570\u9879\uff0c\u4e5f\u8981\u5305\u62ec\u65f6\u95f4\u8d8b\u52bf\u9879\u3002\u53e6\u5916\u8fd8\u53ef\u4ee5\u57fa\u4e8e\u4fe1\u606f\u51c6\u5219\uff0c\u5206\u522b\u4f7f\u7528AIC\u548cBIC\u51c6\u5219\u6765\u8bc4\u4ef7\uff0c\u975e\u8981\u5199\u516c\u5f0f\u7684\u8bdd\u5982\u4e0b\uff1a\n\n$$\\begin{eqnarray}\n&&AIC = -2 \\ln L + 2 k \\\\\n&&BIC = -2 \\ln L + \\ln n \\cdot k \\\\\n\\end{eqnarray}$$"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-13T09:51:58.547478Z", "start_time": "2020-03-13T09:51:58.207584Z"}, "trusted": true}, "cell_type": "code", "source": "stable_test = kline_all['log_return']\nadftest = sm.tsa.stattools.adfuller(np.array(stable_test), autolag='AIC')\nadftest2 = sm.tsa.stattools.adfuller(np.array(stable_test), autolag='BIC')\noutput=pd.DataFrame(index=['ADF Statistic Test Value', \"ADF P-value\", \"Lags\", \"Number of Observations\",\n                           \"Critical Value(1%)\",\"Critical Value(5%)\",\"Critical Value(10%)\"],\n                    columns=['AIC','BIC'])\noutput['AIC']['ADF Statistic Test Value'] = adftest[0]\noutput['AIC']['ADF P-value'] = adftest[1]\noutput['AIC']['Lags'] = adftest[2]\noutput['AIC']['Number of Observations'] = adftest[3]\noutput['AIC']['Critical Value(1%)'] = adftest[4]['1%']\noutput['AIC']['Critical Value(5%)'] = adftest[4]['5%']\noutput['AIC']['Critical Value(10%)'] = adftest[4]['10%']\noutput['BIC']['ADF Statistic Test Value'] = adftest2[0]\noutput['BIC']['ADF P-value'] = adftest2[1]\noutput['BIC']['Lags'] = adftest2[2]\noutput['BIC']['Number of Observations'] = adftest2[3]\noutput['BIC']['Critical Value(1%)'] = adftest2[4]['1%']\noutput['BIC']['Critical Value(5%)'] = adftest2[4]['5%']\noutput['BIC']['Critical Value(10%)'] = adftest2[4]['10%']\noutput", "execution_count": 8, "outputs": [{"output_type": "execute_result", "execution_count": 8, "data": {"text/plain": "                                  AIC      BIC\nADF Statistic Test Value     -5.66129 -31.7186\nADF P-value               9.36685e-07        0\nLags                               19        0\nNumber of Observations            807      826\nCritical Value(1%)           -3.43848 -3.43829\nCritical Value(5%)           -2.86513 -2.86505\nCritical Value(10%)          -2.56868 -2.56864", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>AIC</th>\n      <th>BIC</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>ADF Statistic Test Value</td>\n      <td>-5.66129</td>\n      <td>-31.7186</td>\n    </tr>\n    <tr>\n      <td>ADF P-value</td>\n      <td>9.36685e-07</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <td>Lags</td>\n      <td>19</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <td>Number of Observations</td>\n      <td>807</td>\n      <td>826</td>\n    </tr>\n    <tr>\n      <td>Critical Value(1%)</td>\n      <td>-3.43848</td>\n      <td>-3.43829</td>\n    </tr>\n    <tr>\n      <td>Critical Value(5%)</td>\n      <td>-2.86513</td>\n      <td>-2.86505</td>\n    </tr>\n    <tr>\n      <td>Critical Value(10%)</td>\n      <td>-2.56868</td>\n      <td>-2.56864</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u539f\u5047\u8bbe\u4e3a\u5e8f\u5217\u4e0d\u5b58\u5728\u5355\u4f4d\u6839\uff0c\u5373\u975e\u5e73\u7a33\u6027\uff0c\u5907\u62e9\u5047\u8bbe\u5e8f\u5217\u662f\u5e73\u7a33\u7684\u3002\u68c0\u9a8cP\u503c\u8fdc\u5c0f\u4e8e0.05%\u7684\u7f6e\u4fe1\u6c34\u5e73\u4e34\u754c\u503c\uff0c\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u6240\u4ee5\u5bf9\u6570\u6536\u76ca\u7387\u4e3a\u5e73\u7a33\u5e8f\u5217\uff0c\u53ef\u4ee5\u4f7f\u7528\u7edf\u8ba1\u65f6\u5e8f\u6a21\u578b\u8fdb\u884c\u5efa\u6a21\u3002"}, {"metadata": {}, "cell_type": "markdown", "source": "# 3\u3001\u6a21\u578b\u8bc6\u522b\u548c\u5b9a\u9636\n\n\u4e3a\u4e86\u5efa\u7acb\u5747\u503c\u65b9\u7a0b\uff0c\u9700\u8981\u5bf9\u5e8f\u5217\u505a\u81ea\u76f8\u5173\u6027\u68c0\u9a8c\uff0c\u786e\u4fdd\u8bef\u5dee\u9879\u4e0d\u5b58\u5728\u81ea\u76f8\u5173\u6027\u3002\u9996\u5148\uff0c\u8bd5\u7740\u7ed8\u5236\u81ea\u76f8\u5173ACF\u548c\u504f\u76f8\u5173PACF\u56fe\uff0c\u5982\u4e0b\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-13T01:02:44.532205Z", "start_time": "2020-03-13T01:02:42.971141Z"}, "scrolled": false, "trusted": false}, "cell_type": "code", "source": "tsplot(kline_all['log_return'], kline_all['log_return'], title='Log Return', lags=100)", "execution_count": 19, "outputs": [{"data": {}, "execution_count": 19, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53ef\u4ee5\u770b\u5230\u622a\u5c3e\u7684\u6548\u679c\u5f88\u6f02\u4eae\uff0c\u6709\u90a3\u4e48\u4e00\u77ac\u95f4\u8fd9\u56fe\u7ed9\u4e86\u6211\u4e00\u4e2a\u542f\u53d1\uff0c\u90a3\u5c31\u662f\u5e02\u573a\u771f\u662f\u65e0\u6548\u7684\u4e48\uff1f\u4e3a\u4e86\u9a8c\u8bc1\uff0c\u63a5\u7740\u5bf9\u6536\u76ca\u7387\u5e8f\u5217\u505a\u81ea\u76f8\u5173\u5206\u6790\uff0c\u5e76\u4e14\u8fd8\u8981\u786e\u5b9a\u6a21\u578b\u7684\u6ede\u540e\u9636\u6570\u3002\n\n\u5e38\u7528\u7684\u76f8\u5173\u7cfb\u6570\u662f\u8861\u91cf\u81ea\u5df1\u548c\u81ea\u5df1\u7684\u76f8\u5173\u7a0b\u5ea6\uff0c\u5373$r(t)$\u548c\u8fc7\u53bb\u67d0\u4e2a\u65f6\u95f4$r(t-l)$\u7684\u76f8\u5173\u6027\uff1a\n\n$$\\rho_l = \\frac{Cov(r_t, r_{t-l})}{\\sqrt{Var(r_t)Var(r_{t-l})}} = \\frac{Cov(r_t, _{t-l})}{Var(r_t)}$$\n\n\u63a5\u7740\u5c31\u8ba1\u91cf\u68c0\u9a8c\u4e00\u4e0b\uff0c\u539f\u5047\u8bbe\u4e3a\u6240\u6709\u81ea\u76f8\u5173\u7cfb\u6570\u4e3a0\uff0c\u5373\u5e8f\u5217\u4e0d\u5b58\u5728\u81ea\u76f8\u5173\u6027\uff0c\u68c0\u9a8c\u7edf\u8ba1\u91cf\u516c\u5f0f\u8fd9\u4e48\u5199\n\n$$Q(m) = T(T+2)\\sum_{l=1}^{m} \\frac{\\hat{\\rho}_l^2}{T-l}$$\n\n\u53d610\u4e2a\u81ea\u76f8\u5173\u7cfb\u6570\u505a\u5206\u6790\uff0c\u5982\u4e0b\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-13T07:39:31.216408Z", "start_time": "2020-03-13T07:39:31.191642Z"}, "trusted": true}, "cell_type": "code", "source": "acf,q,p = sm.tsa.acf(kline_all['log_return'], nlags=15,unbiased=True,qstat = True, fft=False)  # \u68c0\u9a8c10\u4e2a\u81ea\u76f8\u5173\u7cfb\u6570\noutput = pd.DataFrame(np.c_[range(1,16), acf[1:], q, p], columns=['lag', 'ACF', 'Q', 'P-value'])\noutput = output.set_index('lag')\noutput", "execution_count": 9, "outputs": [{"output_type": "execute_result", "execution_count": 9, "data": {"text/plain": "           ACF          Q   P-value\nlag                                \n1.0  -0.099665   8.244485  0.004088\n2.0  -0.015185   8.436110  0.014727\n3.0   0.005439   8.460726  0.037390\n4.0  -0.007983   8.513819  0.074469\n5.0   0.015917   8.725129  0.120543\n6.0  -0.102288  17.462134  0.007727\n7.0   0.032860  18.364914  0.010428\n8.0  -0.090556  25.229481  0.001421\n9.0  -0.035358  26.277304  0.001840\n10.0  0.045424  28.008737  0.001799\n11.0 -0.014142  28.176779  0.003041\n12.0  0.036273  29.283577  0.003575\n13.0  0.074563  33.966146  0.001218\n14.0  0.069355  38.022428  0.000516\n15.0  0.129860  52.260608  0.000005", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>ACF</th>\n      <th>Q</th>\n      <th>P-value</th>\n    </tr>\n    <tr>\n      <th>lag</th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>1.0</td>\n      <td>-0.099665</td>\n      <td>8.244485</td>\n      <td>0.004088</td>\n    </tr>\n    <tr>\n      <td>2.0</td>\n      <td>-0.015185</td>\n      <td>8.436110</td>\n      <td>0.014727</td>\n    </tr>\n    <tr>\n      <td>3.0</td>\n      <td>0.005439</td>\n      <td>8.460726</td>\n      <td>0.037390</td>\n    </tr>\n    <tr>\n      <td>4.0</td>\n      <td>-0.007983</td>\n      <td>8.513819</td>\n      <td>0.074469</td>\n    </tr>\n    <tr>\n      <td>5.0</td>\n      <td>0.015917</td>\n      <td>8.725129</td>\n      <td>0.120543</td>\n    </tr>\n    <tr>\n      <td>6.0</td>\n      <td>-0.102288</td>\n      <td>17.462134</td>\n      <td>0.007727</td>\n    </tr>\n    <tr>\n      <td>7.0</td>\n      <td>0.032860</td>\n      <td>18.364914</td>\n      <td>0.010428</td>\n    </tr>\n    <tr>\n      <td>8.0</td>\n      <td>-0.090556</td>\n      <td>25.229481</td>\n      <td>0.001421</td>\n    </tr>\n    <tr>\n      <td>9.0</td>\n      <td>-0.035358</td>\n      <td>26.277304</td>\n      <td>0.001840</td>\n    </tr>\n    <tr>\n      <td>10.0</td>\n      <td>0.045424</td>\n      <td>28.008737</td>\n      <td>0.001799</td>\n    </tr>\n    <tr>\n      <td>11.0</td>\n      <td>-0.014142</td>\n      <td>28.176779</td>\n      <td>0.003041</td>\n    </tr>\n    <tr>\n      <td>12.0</td>\n      <td>0.036273</td>\n      <td>29.283577</td>\n      <td>0.003575</td>\n    </tr>\n    <tr>\n      <td>13.0</td>\n      <td>0.074563</td>\n      <td>33.966146</td>\n      <td>0.001218</td>\n    </tr>\n    <tr>\n      <td>14.0</td>\n      <td>0.069355</td>\n      <td>38.022428</td>\n      <td>0.000516</td>\n    </tr>\n    <tr>\n      <td>15.0</td>\n      <td>0.129860</td>\n      <td>52.260608</td>\n      <td>0.000005</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u6839\u636e\u68c0\u9a8c\u7edf\u8ba1\u91cfQ\u548cP\u503c\u53ef\u4ee5\u770b\u5230\uff0c\u81ea\u76f8\u5173\u51fd\u6570ACF\u57280\u9636\u540e\u9010\u6e10\u4e3a0\uff0cQ\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684P\u503c\u90fd\u8db3\u591f\u5c0f\uff0c\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u6545\u5e8f\u5217\u5b58\u5728\u81ea\u76f8\u5173\u6027\u3002\n\n# 4\u3001ARMA\u5efa\u6a21\n\nAR\u548cMA\u6a21\u578b\u633a\u7b80\u5355\u7684\uff0c\u7b80\u5355\u8bf4\u4e0b\uff0cMarkdown\u5199\u516c\u5f0f\u592a\u7d2f\u4e86\uff0c\u6709\u5174\u8da3\u7684\u5927\u5bb6\u81ea\u5df1\u67e5\u5427\u3002AR\uff08Autoregression\uff0c\u81ea\u56de\u5f52\uff09\u6a21\u578b\u4e3b\u8981\u662f\u5bf9\u65f6\u95f4\u5e8f\u5217\u8fdb\u884c\u5efa\u6a21\uff0c\u5982\u679c\u5e8f\u5217\u5df2\u7ecf\u901a\u8fc7\u4e86ACF\u68c0\u9a8c\uff0c\u4e5f\u5c31\u662f\u95f4\u9694\u4e3a1\u7684\u81ea\u76f8\u5173\u7cfb\u6570\u663e\u8457\uff0c\u5373\u5728$t-1$\u65f6\u523b\u7684\u6570\u636e$r_(t-1)$\uff0c\u5bf9\u9884\u6d4bt\u65f6\u523b$r_t$\u65f6\u53ef\u80fd\u662f\u6709\u7528\u7684\u3002\n\nMA\uff08Moving Average\uff0c\u6ed1\u52a8\u5e73\u5747\uff09\u6a21\u578b\u662f\u4f7f\u7528\u8fc7\u53bbq\u4e2a\u65f6\u671f\u7684\u968f\u673a\u5e72\u6270\u6216\u9884\u6d4b\u8bef\u5dee\uff0c\u6765\u7ebf\u6027\u8868\u8fbe\u5f53\u524d\u7684\u9884\u6d4b\u503c\u3002\n\n\u4e3a\u4e86\u66f4\u5145\u5206\u5730\u63cf\u8ff0\u6570\u636e\u7684\u52a8\u6001\u7ed3\u6784\uff0c\u9700\u8981\u63d0\u9ad8AR\u6216MA\u6a21\u578b\u7684\u9636\u6570\uff0c\u4f46\u8fd9\u6837\u7684\u53c2\u6570\u4f1a\u8ba9\u8ba1\u7b97\u53d8\u5f97\u66f4\u590d\u6742\uff0c\u6240\u4ee5\u4e3a\u4e86\u7b80\u5316\u8fd9\u4e2a\u8fc7\u7a0b\uff0c\u5c31\u63d0\u51fa\u4e86\u81ea\u56de\u5f52\u6ed1\u52a8\u5e73\u5747 (ARMA) \u6a21\u578b\u3002\n\n\u7531\u4e8e\u4ef7\u683c\u65f6\u95f4\u5e8f\u5217\u4e00\u822c\u90fd\u662f\u975e\u5e73\u7a33\u6027\u7684\uff0c\u800c\u524d\u9762\u66fe\u8ba8\u8bba\u4e86\u5dee\u5206\u6cd5\u5bf9\u5e73\u7a33\u6027\u7684\u4f18\u5316\u6548\u679c\uff0c\u6240\u4ee5ARIMA(p,d,q) \uff08\u6c42\u548c\u81ea\u56de\u5f52\u79fb\u52a8\u5e73\u5747\uff09\u6a21\u578b\u5c31\u662f\u5728\u73b0\u6709\u6a21\u578b\u5bf9\u5e8f\u5217\u5e94\u7528\u7684\u57fa\u7840\u4e0a\u589e\u52a0\u4e86d\u9636\u5dee\u5206\u5904\u7406\u3002\u4e0d\u8fc7\u6211\u4eec\u5df2\u7ecf\u7528\u4e86\u5bf9\u6570\uff0c\u90a3\u5c31\u76f4\u63a5\u4f7f\u7528ARMA(p,q)\u5373\u53ef\u3002\n\n\u63d2\u4e00\u53e5\uff0cARIMA\u6a21\u578b\u540cARMA\u7684\u6a21\u578b\u5efa\u7acb\u8fc7\u7a0b\uff0c\u552f\u4e00\u7684\u533a\u522b\u5728\u4e8e\uff0c\u5982\u679c\u5206\u6790\u5e73\u7a33\u6027\u4e4b\u540e\uff0c\u5f97\u51fa\u4e0d\u7a33\u5b9a\u7684\u7ed3\u679c\uff0c\u90a3\u4e48\u6a21\u578b\u5c06\u76f4\u63a5\u5bf9\u5e8f\u5217\u505a\u4e8c\u6b21\u5dee\u5206\u7136\u540e\u518d\u8fdb\u884c\u5e73\u7a33\u6027\u68c0\u9a8c\uff0c\u76f4\u5230\u5e73\u7a33\u540e\u518d\u5b9a\u9636p\u548cq\uff0c\u6784\u5efa\u5b8c\u6574\u6a21\u578b\u5e76\u5bf9\u5176\u8bc4\u4ef7\uff0c\u7136\u540e\u518d\u505a\u540e\u7eed\u9884\u6d4b\uff0c\u7701\u6389\u4e86\u56de\u9000\u505a\u5dee\u5206\u7684\u6b65\u9aa4\u3002\u4f46\u662f\uff0c\u4ef7\u683c\u7684\u4e8c\u9636\u5dee\u5206\u5df2\u7ecf\u6ca1\u610f\u4e49\u4e86\uff0c\u6240\u4ee5\u5c31ARMA\u5427\u3002\n\n## 4-1\u3001\u5b9a\u9636\n\n\u63a5\u4e0b\u6765\u53ef\u4ee5\u76f4\u63a5\u901a\u8fc7\u4fe1\u606f\u51c6\u5219\u5b9a\u9636\uff0c\u6211\u7528AIC\u548cBIC\u7684\u70ed\u529b\u56fe\u6765\u8bd5\u8bd5\u3002"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-13T07:16:48.738804Z", "start_time": "2020-03-13T07:16:38.393065Z"}, "scrolled": true, "trusted": true}, "cell_type": "code", "source": "def select_best_params():\n    ps = range(0, 4)\n    ds= range(1, 2)\n    qs = range(0, 4)\n    parameters = product(ps, ds, qs)\n    parameters_list = list(parameters)\n\n    p_min = 0\n    d_min = 0\n    q_min = 0\n    p_max = 3\n    d_max = 3\n    q_max = 3\n\n    results_aic = pd.DataFrame(index=['AR{}'.format(i) for i in range(p_min,p_max+1)],\n                               columns=['MA{}'.format(i) for i in range(q_min,q_max+1)])\n    results_bic = pd.DataFrame(index=['AR{}'.format(i) for i in range(p_min,p_max+1)],\n                               columns=['MA{}'.format(i) for i in range(q_min,q_max+1)])\n    \n    best_params = []\n    aic_results = []\n    bic_results = []\n    hqic_results = []\n    best_aic = float(\"inf\")\n    best_bic = float(\"inf\")\n    best_hqic = float(\"inf\")\n    warnings.filterwarnings('ignore')\n    for param in parameters_list:\n        try:\n            model = sm.tsa.SARIMAX(kline_all['log_price'], order=(param[0], param[1], param[2])).fit(disp=-1)\n            results_aic.loc['AR{}'.format(param[0]), 'MA{}'.format(param[2])] = model.aic\n            results_bic.loc['AR{}'.format(param[0]), 'MA{}'.format(param[2])] = model.bic\n        except ValueError:\n            continue    \n           \n        aic_results.append([param, model.aic])\n        bic_results.append([param, model.bic])\n        hqic_results.append([param, model.hqic])\n    \n    results_aic = results_aic[results_aic.columns].astype(float)\n    results_bic = results_bic[results_bic.columns].astype(float)\n    \n    # \u7ed8\u5236AIC\u548cBIC\u7684\u70ed\u529b\u56fe\uff0c\u5bfb\u627e\u6700\u4f18\n    fig = plt.figure(figsize=(18, 9))\n    layout = (2, 2)\n    aic_ax = plt.subplot2grid(layout, (0, 0))\n    bic_ax = plt.subplot2grid(layout, (0, 1))\n\n    aic_ax = sns.heatmap(results_aic,mask=results_aic.isnull(),ax=aic_ax,cmap='OrRd',annot=True,fmt='.2f',);\n    aic_ax.set_title('AIC');\n    bic_ax = sns.heatmap(results_bic,mask=results_bic.isnull(),ax=bic_ax,cmap='OrRd',annot=True,fmt='.2f',);\n    bic_ax.set_title('BIC');\n    \n    aic_df = pd.DataFrame(aic_results)\n    aic_df.columns = ['params', 'aic']   \n    best_params.append(aic_df.params[aic_df.aic.idxmin()])\n    print('AIC best param: {}'.format(aic_df.params[aic_df.aic.idxmin()]))\n    \n    bic_df = pd.DataFrame(bic_results)\n    bic_df.columns = ['params', 'bic']\n    best_params.append(bic_df.params[bic_df.bic.idxmin()])\n    print('BIC best param: {}'.format(bic_df.params[bic_df.bic.idxmin()]))\n    \n    hqic_df = pd.DataFrame(hqic_results)\n    hqic_df.columns = ['params', 'hqic']\n    best_params.append(hqic_df.params[hqic_df.hqic.idxmin()])\n    print('HQIC best param: {}'.format(hqic_df.params[hqic_df.hqic.idxmin()]))\n\n    for best_param in best_params:\n        if best_params.count(best_param)>=2:\n            print('Best Param Selected: {}'.format(best_param))\n            return best_param \n\nbest_param = select_best_params()", "execution_count": 10, "outputs": [{"output_type": "stream", "text": "AIC best param: (0, 1, 1)\nBIC best param: (0, 1, 1)\nHQIC best param: (0, 1, 1)\nBest Param Selected: (0, 1, 1)\n", "name": "stdout"}, {"output_type": "display_data", "data": {"text/plain": "<Figure size 1296x648 with 4 Axes>", "image/png": 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\n"}, "metadata": {"needs_background": "light"}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53ef\u4ee5\u660e\u663e\u770b\u5230\uff0c\u5bf9\u5bf9\u6570\u4ef7\u683c\u7684\u6700\u4f181\u9636\u53c2\u6570\u7ec4\u5408\u4e3a(0,1,1)\uff0c\u7b80\u5355\u7c97\u66b4\u3002\u5bf9log_return\uff08\u5bf9\u6570\u6536\u76ca\u7387\uff09\u6267\u884c\u540c\u6837\u8fd0\u7b97\uff0cAIC\u6700\u4f18\u4e3a(4,3)\uff0cBIC\u6700\u4f18\u4e3a(0,1)\u3002\u6240\u4ee5\u5bf9log_return\uff08\u5bf9\u6570\u6536\u76ca\u7387\uff09\u53d6\u6700\u4f18\u7684\u53c2\u6570\u7ec4\u5408\u4e3a(0,1)\u3002\n\n## 4-2\u3001ARMA\u5efa\u6a21\u62df\u5408\n\n\u4e0d\u9700\u8981\u5b63\u5ea6\u6027\u7cfb\u6570\uff0c\u4f46SARIMAX\u7684\u5c5e\u6027\u66f4\u4e30\u5bcc\uff0c\u6240\u4ee5\u51b3\u5b9a\u9009\u62e9\u8fd9\u4e2a\u6a21\u578b\u8fdb\u884c\u5efa\u6a21\uff0c\u5e76\u987a\u4fbf\u753b\u51fa\u63cf\u8ff0\u6027\u5206\u6790\uff0c\u5982\u4e0b\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-24T02:50:49.046441Z", "start_time": "2020-03-24T02:50:46.839196Z"}, "scrolled": false, "trusted": true}, "cell_type": "code", "source": "params = (0, 0, 1)\ntraining_model = smt.SARIMAX(endog=kline_all['log_return'], trend='c', order=params, seasonal_order=(0, 0, 0, 0))\nmodel_results = training_model.fit(disp=False)\nmodel_results.summary()", "execution_count": 11, "outputs": [{"output_type": "execute_result", "execution_count": 11, "data": {"text/plain": "<class 'statsmodels.iolib.summary.Summary'>\n\"\"\"\n                           Statespace Model Results                           \n==============================================================================\nDep. Variable:             log_return   No. Observations:                  827\nModel:               SARIMAX(0, 0, 1)   Log Likelihood                2215.932\nDate:                Fri, 10 Jul 2020   AIC                          -4425.864\nTime:                        02:08:38   BIC                          -4411.710\nSample:                    02-13-2020   HQIC                         -4420.435\n                         - 03-18-2020                                         \nCovariance Type:                  opg                                         \n==============================================================================\n                 coef    std err          z      P>|z|      [0.025      0.975]\n------------------------------------------------------------------------------\nintercept     -0.0008      0.001     -1.399      0.162      -0.002       0.000\nma.L1         -0.1021      0.010    -10.163      0.000      -0.122      -0.082\nsigma2         0.0003   2.82e-06     97.828      0.000       0.000       0.000\n===================================================================================\nLjung-Box (Q):                      104.77   Jarque-Bera (JB):            106398.74\nProb(Q):                              0.00   Prob(JB):                         0.00\nHeteroskedasticity (H):              24.60   Skew:                            -2.68\nProb(H) (two-sided):                  0.00   Kurtosis:                        58.31\n===================================================================================\n\nWarnings:\n[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n\"\"\"", "text/html": "<table class=\"simpletable\">\n<caption>Statespace Model Results</caption>\n<tr>\n  <th>Dep. Variable:</th>      <td>log_return</td>    <th>  No. Observations:  </th>    <td>827</td>   \n</tr>\n<tr>\n  <th>Model:</th>           <td>SARIMAX(0, 0, 1)</td> <th>  Log Likelihood     </th> <td>2215.932</td> \n</tr>\n<tr>\n  <th>Date:</th>            <td>Fri, 10 Jul 2020</td> <th>  AIC                </th> <td>-4425.864</td>\n</tr>\n<tr>\n  <th>Time:</th>                <td>02:08:38</td>     <th>  BIC                </th> <td>-4411.710</td>\n</tr>\n<tr>\n  <th>Sample:</th>             <td>02-13-2020</td>    <th>  HQIC               </th> <td>-4420.435</td>\n</tr>\n<tr>\n  <th></th>                   <td>- 03-18-2020</td>   <th>                     </th>     <td> </td>    \n</tr>\n<tr>\n  <th>Covariance Type:</th>        <td>opg</td>       <th>                     </th>     <td> </td>    \n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n      <td></td>         <th>coef</th>     <th>std err</th>      <th>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n</tr>\n<tr>\n  <th>intercept</th> <td>   -0.0008</td> <td>    0.001</td> <td>   -1.399</td> <td> 0.162</td> <td>   -0.002</td> <td>    0.000</td>\n</tr>\n<tr>\n  <th>ma.L1</th>     <td>   -0.1021</td> <td>    0.010</td> <td>  -10.163</td> <td> 0.000</td> <td>   -0.122</td> <td>   -0.082</td>\n</tr>\n<tr>\n  <th>sigma2</th>    <td>    0.0003</td> <td> 2.82e-06</td> <td>   97.828</td> <td> 0.000</td> <td>    0.000</td> <td>    0.000</td>\n</tr>\n</table>\n<table class=\"simpletable\">\n<tr>\n  <th>Ljung-Box (Q):</th>          <td>104.77</td> <th>  Jarque-Bera (JB):  </th> <td>106398.74</td>\n</tr>\n<tr>\n  <th>Prob(Q):</th>                 <td>0.00</td>  <th>  Prob(JB):          </th>   <td>0.00</td>   \n</tr>\n<tr>\n  <th>Heteroskedasticity (H):</th>  <td>24.60</td> <th>  Skew:              </th>   <td>-2.68</td>  \n</tr>\n<tr>\n  <th>Prob(H) (two-sided):</th>     <td>0.00</td>  <th>  Kurtosis:          </th>   <td>58.31</td>  \n</tr>\n</table><br/><br/>Warnings:<br/>[1] Covariance matrix calculated using the outer product of gradients (complex-step)."}, "metadata": {}}]}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-24T02:50:57.786337Z", "start_time": "2020-03-24T02:50:56.572022Z"}, "scrolled": false, "trusted": false}, "cell_type": "code", "source": "model_results.plot_diagnostics(figsize=(18, 10));", "execution_count": 27, "outputs": [{"data": {"image/png": 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\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u76f4\u65b9\u56fe\u4e2d\u6982\u7387\u5bc6\u5ea6KDE\u548c\u6b63\u6001\u5206\u5e03N(0,1)\u6bd4\u8f83\u8fdc\uff0c\u8868\u660e\u6b8b\u5dee\u4e0d\u662f\u6b63\u6001\u5206\u5e03\u3002QQ\u5206\u4f4d\u56fe\u4e2d\uff0c\u4ece\u6807\u51c6\u6b63\u6001\u5206\u5e03\u62bd\u53d6\u7684\u6837\u672c\u4e2d\uff0c\u6b8b\u5dee\u6ca1\u6709\u5b8c\u5168\u670d\u4ece\u7ebf\u6027\u8d8b\u52bf\uff0c\u6240\u4ee5\u518d\u6b21\u786e\u8ba4\u6b8b\u5dee\u4e0d\u662f\u6b63\u6001\u5206\u5e03\uff0c\u66f4\u63a5\u8fd1\u767d\u566a\u58f0\u3002\n\n\u90a3\u8bf4\u4e86\u8fd9\u4e9b\uff0c\u6a21\u578b\u80fd\u4e0d\u80fd\u7528\uff0c\u8fd8\u5f97\u68c0\u9a8c\u4e00\u4e0b\u3002\n\n## 4-3\u3001\u6a21\u578b\u68c0\u9a8c\n\n\u6b8b\u5dee\u7684\u62df\u5408\u6548\u679c\u4e0d\u591f\u7406\u60f3\uff0c\u4e8e\u662f\u6211\u4eec\u5bf9\u5176\u6267\u884cDurbin Watson\u68c0\u9a8c\u3002\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u4e3a\u5e8f\u5217\u4e0d\u5b58\u5728\u81ea\u76f8\u5173\u6027\uff0c\u5907\u62e9\u5047\u8bbe\u5e8f\u5217\u662f\u5e73\u7a33\u7684\u3002\u53e6\u5916\uff0c\u5982\u679cLB\u3001JB\u548cH\u68c0\u9a8c\u7684P\u503c\u5747\u5c0f\u4e8e0.05%\u7f6e\u4fe1\u6c34\u5e73\u4e34\u754c\u503c\uff0c\u5c31\u62d2\u7edd\u539f\u5047\u8bbe\u3002"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-24T03:02:04.949709Z", "start_time": "2020-03-24T03:02:04.901755Z"}, "trusted": true}, "cell_type": "code", "source": "het_method='breakvar'\nnorm_method='jarquebera'\nsercor_method='ljungbox'\n\n(het_stat, het_p) = model_results.test_heteroskedasticity(het_method)[0]\nnorm_stat, norm_p, skew, kurtosis = model_results.test_normality(norm_method)[0]\n\nsercor_stat, sercor_p = model_results.test_serial_correlation(method=sercor_method)[0]\nsercor_stat = sercor_stat[-1] # \u6700\u5927\u5468\u671f\u7684\u6700\u540e\u4e00\u4e2a\u503c\nsercor_p = sercor_p[-1]\n\ndw = sm.stats.stattools.durbin_watson(model_results.filter_results.standardized_forecasts_error[0, model_results.loglikelihood_burn:])\n\narroots_outside_unit_circle = np.all(np.abs(model_results.arroots) > 1)\nmaroots_outside_unit_circle = np.all(np.abs(model_results.maroots) > 1)\n\nprint('Test heteroskedasticity of residuals ({}): stat={:.3f}, p={:.3f}'.format(het_method, het_stat, het_p));\nprint('\\nTest normality of residuals ({}): stat={:.3f}, p={:.3f}'.format(norm_method, norm_stat, norm_p));\nprint('\\nTest serial correlation of residuals ({}): stat={:.3f}, p={:.3f}'.format(sercor_method, sercor_stat, sercor_p));\nprint('\\nDurbin-Watson test on residuals: d={:.2f}\\n\\t(NB: 2 means no serial correlation, 0=pos, 4=neg)'.format(dw))\nprint('\\nTest for all AR roots outside unit circle (>1): {}'.format(arroots_outside_unit_circle))\nprint('\\nTest for all MA roots outside unit circle (>1): {}'.format(maroots_outside_unit_circle))\n\nroot_test=pd.DataFrame(index=['Durbin-Watson test on residuals','Test for all AR roots outside unit circle (>1)','Test for all MA roots outside unit circle (>1)'],columns=['c'])\nroot_test['c']['Durbin-Watson test on residuals']=dw\nroot_test['c']['Test for all AR roots outside unit circle (>1)']=arroots_outside_unit_circle\nroot_test['c']['Test for all MA roots outside unit circle (>1)']=maroots_outside_unit_circle\nroot_test", "execution_count": 12, "outputs": [{"output_type": "stream", "text": "Test heteroskedasticity of residuals (breakvar): stat=24.598, p=0.000\n\nTest normality of residuals (jarquebera): stat=106398.739, p=0.000\n\nTest serial correlation of residuals (ljungbox): stat=104.767, p=0.000\n\nDurbin-Watson test on residuals: d=2.00\n\t(NB: 2 means no serial correlation, 0=pos, 4=neg)\n\nTest for all AR roots outside unit circle (>1): True\n\nTest for all MA roots outside unit circle (>1): True\n", "name": "stdout"}, {"output_type": "execute_result", "execution_count": 12, "data": {"text/plain": "                                                      c\nDurbin-Watson test on residuals                 1.99996\nTest for all AR roots outside unit circle (>1)     True\nTest for all MA roots outside unit circle (>1)     True", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>c</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>Durbin-Watson test on residuals</td>\n      <td>1.99996</td>\n    </tr>\n    <tr>\n      <td>Test for all AR roots outside unit circle (&gt;1)</td>\n      <td>True</td>\n    </tr>\n    <tr>\n      <td>Test for all MA roots outside unit circle (&gt;1)</td>\n      <td>True</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-24T03:08:15.130902Z", "start_time": "2020-03-24T03:08:15.103590Z"}, "trusted": true}, "cell_type": "code", "source": "kline_all['log_price_dif1'] = kline_all['log_price'].diff(1)\nkline_all = kline_all[1:]\nkline_train = kline_all\n\ntraining_label = 'log_return'\ntraining_ts = pd.DataFrame(kline_train[training_label], dtype=np.float)\n\ndelta = model_results.fittedvalues - training_ts[training_label]\nadjR = 1 - delta.var()/training_ts[training_label].var()\nadjR_test=pd.DataFrame(index=['adjR2'],columns=['Value'])\nadjR_test['Value']['adjR2']=adjR**2\nadjR_test", "execution_count": 13, "outputs": [{"output_type": "execute_result", "execution_count": 13, "data": {"text/plain": "             Value\nadjR2  0.000106429", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Value</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>adjR2</td>\n      <td>0.000106429</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "Durbin-Watson\u6d4b\u8bd5\u7edf\u8ba1\u91cf\u5982\u679c\u7b49\u4e8e2\uff0c\u786e\u8ba4\u5e8f\u5217\u6ca1\u6709\u76f8\u5173\u6027\uff0c\u5176\u7edf\u8ba1\u503c\u5206\u5e03\u5728(0,4)\u4e4b\u95f4\uff0c\u63a5\u8fd10\u610f\u5473\u7740\u6b63\u76f8\u5173\u6027\u8f83\u9ad8\uff0c\u53cd\u4e4b\u63a5\u8fd14\u610f\u5473\u7740\u8d1f\u76f8\u5173\u6027\u8f83\u9ad8\u3002\u8fd9\u91cc\u7ea6\u7b49\u4e8e2\u3002\u5176\u4ed6\u68c0\u9a8c\u7684P\u503c\u8db3\u591f\u5c0f\uff0c\u5355\u4f4d\u7279\u5f81\u6839\u5728\u5355\u4f4d\u5706\u4e4b\u5916\uff0c\u4fee\u6b63$adjR\u00b2$\u7684\u503c\u8d8a\u5927\u8d8a\u597d\uff0c\u6574\u4f53\u770b\u6765\uff0c\u8ba1\u91cf\u7ed3\u679c\u5e76\u4e0d\u7406\u60f3\u3002\n"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "model_results.params", "execution_count": 14, "outputs": [{"output_type": "execute_result", "execution_count": 14, "data": {"text/plain": "intercept   -0.000817\nma.L1       -0.102102\nsigma2       0.000275\ndtype: float64"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u7efc\u4e0a\u6240\u8ff0\uff0c\u8be5\u5b9a\u9636\u53c2\u6570\u53ef\u4ee5\u57fa\u672c\u4e0a\u6ee1\u8db3\u5bf9\u65f6\u95f4\u5e8f\u5217\u7684\u5efa\u6a21\uff0c\u652f\u6301\u540e\u7eed\u6ce2\u52a8\u7387\u5efa\u6a21\u7684\u9700\u6c42\uff0c\u4f46\u62df\u5408\u6548\u679c\u4e00\u822c\u3002\u6a21\u578b\u8868\u8fbe\u5f0f\u5982\u4e0b\uff1a\n\n$$\nr_t= -0.102102r_(t-1)+0.000275\u03b5_(t-1)-0.000817\n$$\n\n\n## 4-4\u3001\u6a21\u578b\u9884\u6d4b\n\n\u63a5\u4e0b\u6765\u8bad\u7ec3\u7684\u6a21\u578b\u8fdb\u884c\u5411\u524d\u4e00\u6b65\u62df\u5408\u3002statsmodels\u4e2d\u5bf9\u62df\u5408\u548c\u9884\u6d4b\u63d0\u4f9b\u4e86\u9759\u6001\u548c\u52a8\u6001\u4e24\u79cd\u9009\u9879\uff0c\u5176\u533a\u522b\u5728\u4e8e\u9884\u6d4b\u4e0b\u4e00\u6b65\u65f6\u662f\u6eda\u52a8\u4f7f\u7528\u89c2\u6d4b\u503c\uff0c\u8fd8\u662f\u8fed\u4ee3\u4f7f\u7528\u4e0a\u4e00\u6b65\u4ea7\u751f\u7684\u9884\u6d4b\u503c\uff0c\u5bf9log_return\uff08\u5bf9\u6570\u6536\u76ca\u7387\uff09\u7684\u9884\u6d4b\u6548\u679c\u5206\u522b\u5982\u4e0b\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-24T03:13:17.387090Z", "start_time": "2020-03-24T03:13:16.587201Z"}, "scrolled": true, "trusted": false}, "cell_type": "code", "source": "start_date = '2020-02-28 12:00:00+08:00'\nend_date = start_date \n\npred_dy = model_results.get_prediction(start=start_date, dynamic=False)\npred_dy_ci = pred_dy.conf_int()\n\nfig, ax = plt.subplots(nrows=1, ncols=1, figsize=(18, 6))\nax.plot(kline_all['log_return'].loc[start_date:], label='Log Return', linestyle='-')\nax.plot(pred_dy.predicted_mean.loc[start_date:], label='Forecast Log Return', linestyle='--')\nax.fill_between(pred_dy_ci.index,pred_dy_ci.iloc[:, 0],pred_dy_ci.iloc[:, 1], color='g', alpha=.25)\n\nplt.ylabel(\"BTC Log Return\")\nplt.legend(loc='best')\nplt.tight_layout()\nsns.despine()", "execution_count": 37, "outputs": [{"data": {"image/png": 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"metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53ef\u4ee5\u770b\u5230\uff0c\u9759\u6001\u6a21\u5f0f\u5bf9\u6837\u672c\u5185\u7684\u62df\u5408\u6548\u679c\u5f88\u51fa\u8272\uff0c\u6837\u672c\u6570\u636e\u51e0\u4e4e\u53ef\u4ee5\u88ab95%\u7684\u7f6e\u4fe1\u533a\u95f4\u8986\u76d6\uff0c\u52a8\u6001\u6a21\u5f0f\u6709\u70b9\u653e\u98de\u3002\n\n\u6240\u4ee5\u63a5\u4e0b\u6765\u5c31\u770b\u770b\u52a8\u6001\u6a21\u5f0f\u4e0b\u7684\u6570\u636e\u62df\u5408\u6548\u679c\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-24T03:08:47.193993Z", "start_time": "2020-03-24T03:08:46.503377Z"}, "scrolled": false, "trusted": false}, "cell_type": "code", "source": "start_date = '2020-02-28 12:00:00+08:00'\nend_date = start_date \n\npred_dy = model_results.get_prediction(start=start_date, dynamic=True)\npred_dy_ci = pred_dy.conf_int()\n\nfig, ax = plt.subplots(nrows=1, ncols=1, figsize=(18, 6))\nax.plot(kline_all['log_return'].loc[start_date:], label='Log Return', linestyle='-')\nax.plot(pred_dy.predicted_mean.loc[start_date:], label='Forecast Log Return', linestyle='--')\nax.fill_between(pred_dy_ci.index,pred_dy_ci.iloc[:, 0],pred_dy_ci.iloc[:, 1], color='g', alpha=.25)\n\nplt.ylabel(\"BTC Log Return\")\nplt.legend(loc='best')\nplt.tight_layout()\nsns.despine()", "execution_count": 38, "outputs": [{"data": {"image/png": 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\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53ef\u4ee5\u770b\u5230\uff0c\u4e24\u79cd\u6a21\u5f0f\u5bf9\u6837\u672c\u5185\u7684\u62df\u5408\u6548\u679c\u90fd\u5f88\u51fa\u8272\uff0c\u5747\u503c\u51e0\u4e4e\u90fd\u53ef\u4ee5\u88ab95%\u7684\u7f6e\u4fe1\u533a\u95f4\u8986\u76d6\uff0c\u4f46\u9759\u6001\u6a21\u5f0f\u660e\u663e\u66f4\u8d34\u5408\u3002\u63a5\u4e0b\u6765\u770b\u5bf9\u6837\u672c\u5916\u768450\u6b65\uff0c\u5373\u5411\u524d50\u5c0f\u65f6\u7684\u9884\u6d4b\u6548\u679c\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-24T03:13:52.443362Z", "start_time": "2020-03-24T03:13:51.527611Z"}, "scrolled": false, "trusted": false}, "cell_type": "code", "source": "# \u6837\u672c\u5916\u7684\u9884\u6d4b\u6570\u636e predict()\nstart_date = '2020-03-01 12:00:00+08:00'\nend_date = '2020-03-20 23:00:00+08:00'\nmodel = False\n\npredict_step = 50\npredicts_ARIMA_normal = model_results.get_prediction(start=start_date, dynamic=model, full_reports=True)\nci_normal = predicts_ARIMA_normal.conf_int().loc[start_date:]\n\npredicts_ARIMA_normal_out = model_results.get_forecast(steps=predict_step, dynamic=model)\nci_normal_out = predicts_ARIMA_normal_out.conf_int().loc[start_date:end_date]\n\nfig, ax = plt.subplots(figsize=(18,8))\nkline_test.loc[start_date:end_date, 'log_return'].plot(ax=ax, label='Benchmark Log Return')\n\npredicts_ARIMA_normal.predicted_mean.plot(ax=ax, style='g', label='In Sample Forecast')\nax.fill_between(ci_normal.index, ci_normal.iloc[:,0], ci_normal.iloc[:,1], color='g', alpha=0.1)\n\npredicts_ARIMA_normal_out.predicted_mean.loc[:end_date].plot(ax=ax, style='r--', label='Out of Sample Forecast')\nax.fill_between(ci_normal_out.index, ci_normal_out.iloc[:,0], ci_normal_out.iloc[:,1], color='r', alpha=0.1)\n\nplt.tight_layout()\nplt.legend(loc='best')\nsns.despine()", "execution_count": 41, "outputs": [{"data": {"image/png": 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\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": 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= smt.SARIMAX(endog=kline_all['log_price'], trend='c', order=params, seasonal_order=(0, 0, 0, 0))\nres = mod.fit(disp=False)\n\nstart_date = '2020-03-01 12:00:00+08:00'\nend_date = '2020-03-15 23:00:00+08:00'\n\npredicts_ARIMA_normal = res.get_prediction(start=start_date, dynamic=False, full_results=False)\npredicts_ARIMA_dynamic = res.get_prediction(start=start_date, dynamic=True, full_results=False)\n\nfig, ax = plt.subplots(figsize=(18,6))\nkline_test.loc[start_date:end_date, 'log_price'].plot(ax=ax, label='Log Price')\n\npredicts_ARIMA_normal.predicted_mean.loc[start_date:end_date].plot(ax=ax, style='r--', label='Normal Prediction')\nci_normal = predicts_ARIMA_normal.conf_int().loc[start_date:end_date]\nax.fill_between(ci_normal.index, ci_normal.iloc[:,0], ci_normal.iloc[:,1], color='r', alpha=0.1)\n\npredicts_ARIMA_dynamic.predicted_mean.loc[start_date:end_date].plot(ax=ax, style='g', label='Dynamic Prediction')\nci_dynamic = predicts_ARIMA_dynamic.conf_int().loc[start_date:end_date]\nax.fill_between(ci_dynamic.index, ci_dynamic.iloc[:,0], ci_dynamic.iloc[:,1], color='g', alpha=0.1)\n\nplt.tight_layout()\nplt.legend(loc='best')\nsns.despine()", "execution_count": 42, "outputs": [{"data": {"image/png": 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\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u56fe\u4e2d\u5f88\u5bb9\u6613\u770b\u51fa\u9759\u6001\u6a21\u5f0f\u4e0b\u7684\u62df\u5408\u4f18\u52bf\uff0c\u548c\u52a8\u6001\u6a21\u5f0f\u5728\u957f\u671f\u9884\u6d4b\u4e0a\u7684\u6781\u5dee\u8868\u73b0\u3002\u8fd9\u7ea2\u8272\u7684\u865a\u7ebf\uff0c\u7c89\u7ea2\u7684\u533a\u95f4\u00b7\u00b7\u00b7\u00b7\u4f60\u4e0d\u80fd\u8bf4\u8fd9\u6a21\u578b\u7684\u9884\u6d4b\u6709\u8bef\u5427\uff0c\u6bd5\u7adf\u5b8c\u5168\u8986\u76d6\u4e86\u5747\u7ebf\u7684\u8d70\u52bf\uff0c\u4f46\u00b7\u00b7\u00b7\u00b7\u6709\u610f\u4e49\u5417\uff1f\n\n\u5176\u5b9eARMA\u7684\u6a21\u578b\u672c\u8eab\u6ca1\u6709\u9519\uff0c\u56e0\u4e3a\u95ee\u9898\u5e76\u4e0d\u662f\u51fa\u5728\u6a21\u578b\u672c\u8eab\uff0c\u800c\u662f\u51fa\u5728\u4e8b\u7269\u672c\u8eab\u7684\u5ba2\u89c2\u903b\u8f91\u4e0a\u3002\u65f6\u95f4\u5e8f\u5217\u6a21\u578b\u672c\u8eab\u9700\u8981\u57fa\u4e8e\u524d\u540e\u89c2\u6d4b\u7684\u5173\u8054\u624d\u80fd\u5efa\u7acb\uff0c\u56e0\u6b64\u5bf9\u4e8e\u767d\u566a\u97f3\u7684\u5e8f\u5217\u662f\u4e0d\u53ef\u80fd\u5efa\u6a21\u7684\uff0c\u6240\u4ee5\u524d\u9762\u505a\u7684\u8fd9\u4e48\u591a\uff0c\u90fd\u57fa\u4e8e\u4e00\u4e2a\u5927\u80c6\u7684\u5047\u8bbe\uff0c\u90a3\u5c31\u662fBTC\u7684\u6536\u76ca\u7387\u5e8f\u5217\u4e0d\u80fd\u662f\u72ec\u7acb\u540c\u5206\u5e03\u3002\n\n\u800c\u4e00\u822c\u6765\u8bb2\uff0c\u6536\u76ca\u7387\u5e8f\u5217\u90fd\u662f\u9785\u5dee\uff08Martingale difference\uff09\u5e8f\u5217\uff0c\u8fd9\u610f\u5473\u7740\u6536\u76ca\u7387\u662f\u4e0d\u53ef\u9884\u6d4b\u7684\uff0c\u5bf9\u5e94\u5e02\u573a\u7684\u5f31\u6709\u6548\u6027\u5047\u8bbe\u6210\u7acb\u3002\u6211\u4eec\u5047\u8bbe\u4e86\u4e2a\u522b\u6837\u672c\u4e2d\u7684\u6536\u76ca\u7387\u5177\u6709\u4e00\u5b9a\u7684\u81ea\u76f8\u5173\u6027\uff0c\u540c\u5206\u5e03\u5047\u8bbe\u4e5f\u662f\u4e3a\u4e86\u8ba9\u62df\u5408\u7684\u6a21\u578b\u53ef\u4ee5\u9002\u7528\u4e8e\u8bad\u7ec3\u96c6\uff0c\u8fd9\u6837\u624d\u80fd\u591f\u4e3a\u4e86\u62df\u5408\u800c\u62df\u5408\u51fa\u4e00\u4e2a\u7b80\u5355\u7684ARMA\u6a21\u578b\uff0c\u90a3\u8fd9\u6837\u7684\u9884\u6d4b\u6548\u679c\u5fc5\u7136\u662f\u5f88\u5dee\u7684\u3002\n\n\u4e0d\u8fc7\u62df\u5408\u4e4b\u540e\u7684\u6b8b\u5dee\u5e8f\u5217\u4e5f\u662f\u9785\u5dee\u5e8f\u5217\uff0c\u9785\u5dee\u5e8f\u5217\u4e0d\u4e00\u5b9a\u662f\u72ec\u7acb\u540c\u5206\u5e03\u7684\uff0c\u4f46\u662f\u6761\u4ef6\u65b9\u5dee\u53ef\u4ee5\u662f\u4f9d\u8d56\u4e8e\u8fc7\u53bb\u7684\u503c\uff0c\u6240\u4ee5\u4e00\u9636\u7684\u81ea\u76f8\u5173\u6027\u6ca1\u6709\u4e86\uff0c\u4f46\u662f\u4f9d\u7136\u5b58\u5728\u7740\u9ad8\u9636\u7684\u81ea\u76f8\u5173\u6027\uff0c\u8fd9\u4e5f\u662f\u6ce2\u52a8\u7387\u53ef\u4ee5\u88ab\u5efa\u6a21\u548c\u89c2\u6d4b\u7684\u91cd\u8981\u524d\u63d0\u3002\n\n\u5982\u679c\u8fd9\u6837\u7684\u903b\u8f91\u6210\u7acb\uff0c\u90a3\u4e48\u5efa\u7acb\u5404\u79cd\u6ce2\u52a8\u7387\u6a21\u578b\u7684\u524d\u63d0\u4e5f\u5c31\u6210\u7acb\u4e86\u3002\u6240\u4ee5\u5bf9\u4e8e\u4e00\u4e2a\u6536\u76ca\u7387\u5e8f\u5217\u800c\u8a00\uff0c\u5982\u679c\u6ee1\u8db3\u4e86\u5e02\u573a\u5f31\u6709\u6548\uff0c\u90a3\u4e48\u5747\u503c\u4e00\u5b9a\u662f\u5f88\u96be\u9884\u6d4b\u7684\uff0c\u4f46\u662f\u65b9\u5dee\u662f\u53ef\u4ee5\u9884\u6d4b\u7684\u3002\u800c\u62df\u5408\u7684ARMA\u63d0\u4f9b\u4e86\u4e00\u4e2a\u8d28\u91cf\u5c1a\u53ef\u7684\u65f6\u95f4\u5e8f\u5217\u57fa\u51c6\uff0c\u90a3\u4e48\u5176\u8d28\u91cf\u7684\u9ad8\u4f4e\u4e5f\u5c31\u51b3\u5b9a\u4e86\u6ce2\u52a8\u7387\u7684\u9884\u6d4b\u8d28\u91cf\u9ad8\u4f4e\u3002\n\n\u6700\u540e\uff0c\u8fd8\u662f\u7b80\u5355\u8bc4\u4ef7\u4e00\u4e0b\u9884\u6d4b\u7684\u6548\u679c\u5427\u3002\u4ee5\u8bef\u5dee\u4e3a\u8bc4\u4ef7\u57fa\u51c6\uff0c\u6837\u672c\u5185\u548c\u6837\u672c\u5916\u7684\u6307\u6807\u5206\u522b\u5982\u4e0b\uff1a"}, {"metadata": {"ExecuteTime": {"end_time": "2020-03-24T03:14:58.052304Z", "start_time": "2020-03-24T03:14:57.959972Z"}, "trusted": true}, "cell_type": "code", "source": "start = '2020-02-14 00:00:00+08:00'\npredicts_ARIMA_normal = model_results.get_prediction(dynamic=False)\npredicts_ARIMA_dynamic = model_results.get_prediction(dynamic=True)\ntraining_label = 'log_return'\n\ncompare_ARCH_X = pd.DataFrame()\ncompare_ARCH_X['Model'] = ['NORMAL','DYNAMIC']\ncompare_ARCH_X['RMSE'] = [rmse(predicts_ARIMA_normal.predicted_mean[1:], kline_test[training_label][:826]),\n                          rmse(predicts_ARIMA_dynamic.predicted_mean[1:], kline_test[training_label][:826])]\ncompare_ARCH_X['MAPE'] = [mape(predicts_ARIMA_normal.predicted_mean[:50], kline_test[training_label][:50]),\n                          mape(predicts_ARIMA_dynamic.predicted_mean[:50], kline_test[training_label][:50])]\ncompare_ARCH_X", "execution_count": 15, "outputs": [{"output_type": "stream", "text": "Root Mean Square Error (RMSE): 0.0184\nRoot Mean Square Error (RMSE): 0.0167\nMean Absolute Percentage Error (MAPE): 2.25e+03\nMean Absolute Percentage Error (MAPE): 395\n", "name": "stdout"}, {"output_type": "execute_result", "execution_count": 15, "data": {"text/plain": "     Model      RMSE         MAPE\n0   NORMAL  0.018382  2249.756029\n1  DYNAMIC  0.016694   395.233251", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Model</th>\n      <th>RMSE</th>\n      <th>MAPE</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>0</td>\n      <td>NORMAL</td>\n      <td>0.018382</td>\n      <td>2249.756029</td>\n    </tr>\n    <tr>\n      <td>1</td>\n      <td>DYNAMIC</td>\n      <td>0.016694</td>\n      <td>395.233251</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53ef\u4ee5\u770b\u5230\uff0c\u9759\u6001\u6a21\u578b\u5728\u9884\u6d4b\u503c\u4e0e\u771f\u5b9e\u503c\u7684\u8bef\u5dee\u543b\u5408\u5ea6\u4e0a\uff0c\u7565\u4f18\u4e8e\u52a8\u6001\u6a21\u5f0f\uff0c\u8f83\u597d\u5730\u62df\u5408\u4e86\u6bd4\u7279\u5e01\u7684\u5bf9\u6570\u6536\u76ca\u7387\uff0c\u57fa\u672c\u7b26\u5408\u9884\u671f\u3002\u52a8\u6001\u9884\u6d4b\u7f3a\u5c11\u66f4\u51c6\u786e\u7684\u53d8\u91cf\u4fe1\u606f\uff0c\u8bef\u5dee\u4e5f\u88ab\u8fed\u4ee3\u653e\u5927\uff0c\u6240\u4ee5\u9884\u6d4b\u6548\u679c\u8f83\u5dee\u3002MAPE\u90fd\u5927\u4e8e100%\uff0c\u6240\u4ee5\u4e24\u4e2a\u6a21\u578b\u7684\u5b9e\u9645\u62df\u5408\u54c1\u8d28\u90fd\u4e0d\u7406\u60f3\u3002"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "predict_step = 50\npredicts_ARIMA_normal_out = model_results.get_forecast(steps=predict_step, dynamic=False)\npredicts_ARIMA_dynamic_out = model_results.get_forecast(steps=predict_step, dynamic=True)\ntesting_ts = kline_test\ntraining_label = 'log_return'\n\ncompare_ARCH_X = pd.DataFrame()\ncompare_ARCH_X['Model'] = ['NORMAL','DYNAMIC']\ncompare_ARCH_X['RMSE'] = [get_rmse(predicts_ARIMA_normal_out.predicted_mean, testing_ts[training_label]),\n                          get_rmse(predicts_ARIMA_dynamic_out.predicted_mean, testing_ts[training_label])]\ncompare_ARCH_X['MAPE'] = [get_mape(predicts_ARIMA_normal_out.predicted_mean, testing_ts[training_label]),\n                          get_mape(predicts_ARIMA_dynamic_out.predicted_mean, testing_ts[training_label])]\ncompare_ARCH_X", "execution_count": 18, "outputs": [{"output_type": "execute_result", "execution_count": 18, "data": {"text/plain": "     Model     RMSE         MAPE\n0   NORMAL  0.01664  1399.597537\n1  DYNAMIC  0.01664  1399.597537", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Model</th>\n      <th>RMSE</th>\n      <th>MAPE</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>0</td>\n      <td>NORMAL</td>\n      <td>0.01664</td>\n      <td>1399.597537</td>\n    </tr>\n    <tr>\n      <td>1</td>\n      <td>DYNAMIC</td>\n      <td>0.01664</td>\n      <td>1399.597537</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u7531\u4e8e\u6837\u672c\u5916\u7684\u4e0b\u4e00\u6b65\u9884\u6d4b\u4f9d\u8d56\u4e0a\u4e00\u6b65\u7684\u7ed3\u679c\uff0c\u6240\u4ee5\u53ea\u6709\u52a8\u6001\u6a21\u5f0f\u6709\u6548\uff0c\u800c\u52a8\u6001\u6a21\u5f0f\u672c\u8eab\u7684\u957f\u671f\u8bef\u5dee\u7f3a\u9677\uff0c\u5bfc\u81f4\u6574\u4f53\u6a21\u578b\u7684\u9884\u6d4b\u80fd\u529b\u4e0d\u8db3\uff0c\u6240\u4ee5\u9876\u591a\u4e5f\u5c31\u9884\u6d4b\u4e0b\u4e00\u6b65\u3002\n\n\u7efc\u4e0a\u6240\u8ff0\uff0cARMA\u6a21\u578b\u9759\u6001\u6a21\u5f0f\u9002\u7528\u4e8e\u62df\u5408\u6bd4\u7279\u5e01\u7684\u6837\u672c\u5185\u6536\u76ca\u7387\uff0c\u5bf9\u6536\u76ca\u7387\u7684\u77ed\u671f\u9884\u6d4b\u53ef\u4ee5\u6709\u6548\u8986\u76d6\u5728\u7f6e\u4fe1\u533a\u95f4\u5185\uff0c\u4f46\u957f\u671f\u9884\u6d4b\u975e\u5e38\u56f0\u96be\uff0c\u6ee1\u8db3\u4e86\u5e02\u573a\u7684\u5f31\u6709\u6548\u6027\u3002\u7ecf\u68c0\u9a8c\uff0c\u6837\u672c\u533a\u95f4\u5185\u7684\u6536\u76ca\u7387\u6ee1\u8db3\u540e\u7eed\u5bf9\u6ce2\u52a8\u7387\u89c2\u6d4b\u7684\u524d\u63d0\u3002"}, {"metadata": {}, "cell_type": "markdown", "source": "# 5\u3001ARCH\u6548\u5e94\n\nARCH\u6a21\u578b\u6548\u5e94\uff0c\u4e5f\u5c31\u662f\u6761\u4ef6\u5f02\u65b9\u5dee\u5e8f\u5217\u7684\u5e8f\u5217\u76f8\u5173\u6027\u3002\u5229\u7528\u6df7\u6210\u68c0\u9a8cLjung-Box\u68c0\u9a8c\u6b8b\u5dee\u5e73\u65b9\u5e8f\u5217\u7684\u76f8\u5173\u6027\uff0c\u6765\u5224\u65ad\u662f\u5426\u5177\u6709ARCH\u6548\u5e94\uff0c\u5982\u679cARCH\u6548\u5e94\u68c0\u9a8c\u901a\u8fc7\uff0c\u5373\u5e8f\u5217\u5177\u5907\u5f02\u65b9\u5dee\u7279\u6027\uff0c\u5c31\u53ef\u4ee5\u8fdb\u884c\u4e0b\u4e00\u6b65\u7684GARCH\u5efa\u6a21\uff0c\u5bf9\u5747\u503c\u65b9\u7a0b\u548c\u6ce2\u52a8\u7387\u65b9\u7a0b\u8fdb\u884c\u8054\u5408\u4f30\u8ba1\u3002\u5426\u5219\u9700\u8981\u5bf9\u6a21\u578b\u8fdb\u884c\u4f18\u5316\u91cd\u8c03\uff0c\u4f8b\u5982\u518d\u505a\u5dee\u5206\u5904\u7406\u6216\u53d6\u5012\u6570\u5e8f\u5217\u3002\n\n\u8fd9\u91cc\u51c6\u5907\u4e00\u4e9b\u6570\u636e\u96c6\u548c\u5168\u5c40\u53d8\u91cf\uff1a"}, {"metadata": {"scrolled": true, "trusted": true}, "cell_type": "code", "source": "count_num = 100000\nstart_date = '2020-03-01'\n\ndf = get_bars('huobi.btc_usdt', '1m', count=count_num, start=start_date)  # \u53d6\u5206\u949f\u6570\u636e\nkline_1m = pd.DataFrame(df['close'], dtype=np.float)\nkline_1m.index.name = 'date'\nkline_1m['log_price'] = np.log(kline_1m['close'])\nkline_1m['return'] = kline_1m['close'].pct_change().dropna()\nkline_1m['log_return'] = kline_1m['log_price'] - kline_1m['log_price'].shift(1)\n\nkline_1m['squared_log_return'] = np.power(kline_1m['log_return'], 2)\n\nkline_1m['return_100x'] = np.multiply(kline_1m['return'], 100)\nkline_1m['log_return_100x'] = np.multiply(kline_1m['log_return'], 100)  # \u653e\u5927100\u500d\n\ndf = get_bars('huobi.btc_usdt', '1h', count=count_num, start=start_date)  # \u53d6\u5c0f\u65f6\u6570\u636e\nkline_test = pd.DataFrame(df['close'], dtype=np.float)\nkline_test.index.name = 'date'\nkline_test['log_price'] = np.log(kline_test['close'])  # \u8ba1\u7b97\u6bcf\u65e5\u5bf9\u6570\u6536\u76ca\u7387\nkline_test['return'] = kline_test['log_price'].pct_change().dropna()\nkline_test['log_return'] = kline_test['log_price'] - kline_test['log_price'].shift(1)  # \u8ba1\u7b97\u5bf9\u6570\u6536\u76ca\u7387\nkline_test['squared_log_return'] = np.power(kline_test['log_return'], 2)  # \u5bf9\u6570\u65e5\u6536\u76ca\u7387\u7684\u6307\u6570\u5e73\u65b9\n\nkline_test['return_100x'] = np.multiply(kline_test['return'], 100)\nkline_test['log_return_100x'] = np.multiply(kline_test['log_return'], 100)  # \u653e\u5927100\u500d\n\nkline_test['realized_variance_1_hour'] = kline_1m.loc[:, 'squared_log_return'].resample('h', closed='left', label='left').sum().copy() # \u91cd\u91c7\u6837\u81f3\u5929\nkline_test['realized_volatility_1_hour'] = np.sqrt(kline_test['realized_variance_1_hour'])  # \u65b9\u5dee\u5f00\u65b9\u5f97\u6ce2\u52a8\u7387\n\nkline_test = kline_test[4:-2500]\nkline_test.head(3)", "execution_count": 33, "outputs": [{"output_type": "execute_result", "execution_count": 33, "data": {"text/plain": "                             close  log_price    return  log_return  \\\ndate                                                                  \n2020-03-01 12:00:00+08:00  8579.52   9.057133 -0.000518   -0.004694   \n2020-03-01 13:00:00+08:00  8586.87   9.057990  0.000095    0.000856   \n2020-03-01 14:00:00+08:00  8541.21   9.052658 -0.000589   -0.005332   \n\n                           squared_log_return  return_100x  log_return_100x  \\\ndate                                                                          \n2020-03-01 12:00:00+08:00        2.203698e-05    -0.051804        -0.469436   \n2020-03-01 13:00:00+08:00        7.332917e-07     0.009455         0.085632   \n2020-03-01 14:00:00+08:00        2.842605e-05    -0.058861        -0.533161   \n\n                           realized_variance_1_hour  \\\ndate                                                  \n2020-03-01 12:00:00+08:00                  0.000030   \n2020-03-01 13:00:00+08:00                  0.000025   \n2020-03-01 14:00:00+08:00                  0.000029   \n\n                           realized_volatility_1_hour  \ndate                                                   \n2020-03-01 12:00:00+08:00                    0.005503  \n2020-03-01 13:00:00+08:00                    0.004993  \n2020-03-01 14:00:00+08:00                    0.005347  ", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>close</th>\n      <th>log_price</th>\n      <th>return</th>\n      <th>log_return</th>\n      <th>squared_log_return</th>\n      <th>return_100x</th>\n      <th>log_return_100x</th>\n      <th>realized_variance_1_hour</th>\n      <th>realized_volatility_1_hour</th>\n    </tr>\n    <tr>\n      <th>date</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>2020-03-01 12:00:00+08:00</td>\n      <td>8579.52</td>\n      <td>9.057133</td>\n      <td>-0.000518</td>\n      <td>-0.004694</td>\n      <td>2.203698e-05</td>\n      <td>-0.051804</td>\n      <td>-0.469436</td>\n      <td>0.000030</td>\n      <td>0.005503</td>\n    </tr>\n    <tr>\n      <td>2020-03-01 13:00:00+08:00</td>\n      <td>8586.87</td>\n      <td>9.057990</td>\n      <td>0.000095</td>\n      <td>0.000856</td>\n      <td>7.332917e-07</td>\n      <td>0.009455</td>\n      <td>0.085632</td>\n      <td>0.000025</td>\n      <td>0.004993</td>\n    </tr>\n    <tr>\n      <td>2020-03-01 14:00:00+08:00</td>\n      <td>8541.21</td>\n      <td>9.052658</td>\n      <td>-0.000589</td>\n      <td>-0.005332</td>\n      <td>2.842605e-05</td>\n      <td>-0.058861</td>\n      <td>-0.533161</td>\n      <td>0.000029</td>\n      <td>0.005347</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "cc = 3\nmodel_p = 1\npredict_lag = 30\nlabel = 'log_return'\n\ntraining_label = label\ntraining_ts = pd.DataFrame(kline_test[training_label], dtype=np.float)\n\ntraining_arch_label = label\ntraining_arch = pd.DataFrame(kline_test[training_arch_label], dtype=np.float)\n\ntraining_garch_label = label\ntraining_garch = pd.DataFrame(kline_test[training_garch_label], dtype=np.float)\n\ntraining_egarch_label = label\ntraining_egarch = pd.DataFrame(kline_test[training_egarch_label], dtype=np.float)\n\ntraining_arch.plot(figsize = (18,4))", "execution_count": 22, "outputs": [{"output_type": "execute_result", "execution_count": 22, "data": {"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x7f5246829208>"}, "metadata": {}}, {"output_type": "display_data", "data": {"text/plain": "<Figure size 1296x288 with 1 Axes>", "image/png": 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\n"}, "metadata": {"needs_background": "light"}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u5bf9\u6570\u6536\u76ca\u7387\u5982\u4e0a\u6240\u793a\uff0c\u63a5\u4e0b\u6765\u5148\u9700\u8981\u68c0\u9a8c\u6837\u672c\u7684ARCH\u6548\u5e94\uff0c\u57fa\u4e8eARMA\u5efa\u7acb\u6837\u672c\u5185\u7684\u6b8b\u5dee\u5e8f\u5217\uff0c\u90e8\u5206\u5e8f\u5217\u4ee5\u53ca\u6b8b\u5dee\u548c\u6b8b\u5dee\u7684\u5e73\u65b9\u5e8f\u5217\u5148\u7b97\u51fa\u6765\uff1a"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "training_arma_model = smt.SARIMAX(endog=training_ts, trend='c', order=(0, 0, 1), seasonal_order=(0, 0, 0, 0))\narma_model_results = training_arma_model.fit(disp=False)\narma_model_results.summary()\ntraining_arma_fitvalue = pd.DataFrame(arma_model_results.fittedvalues,dtype=np.float)\nat = pd.merge(training_ts, training_arma_fitvalue, on='date')\nat.columns = ['log_return', 'model_fit']\nat['res'] = at['log_return'] - at['model_fit']\nat['res2'] = np.square(at['res'])\nat.head()", "execution_count": 20, "outputs": [{"output_type": "execute_result", "execution_count": 20, "data": {"text/plain": "                           log_return  model_fit       res      res2\ndate                                                                \n2020-02-13 13:00:00+08:00    0.003926  -0.000820  0.004747  0.000023\n2020-02-13 14:00:00+08:00    0.001053  -0.001300  0.002353  0.000006\n2020-02-13 15:00:00+08:00   -0.010148  -0.001060 -0.009088  0.000083\n2020-02-13 16:00:00+08:00   -0.007774   0.000107 -0.007881  0.000062\n2020-02-13 17:00:00+08:00   -0.009289  -0.000017 -0.009273  0.000086", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>log_return</th>\n      <th>model_fit</th>\n      <th>res</th>\n      <th>res2</th>\n    </tr>\n    <tr>\n      <th>date</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>2020-02-13 13:00:00+08:00</td>\n      <td>0.003926</td>\n      <td>-0.000820</td>\n      <td>0.004747</td>\n      <td>0.000023</td>\n    </tr>\n    <tr>\n      <td>2020-02-13 14:00:00+08:00</td>\n      <td>0.001053</td>\n      <td>-0.001300</td>\n      <td>0.002353</td>\n      <td>0.000006</td>\n    </tr>\n    <tr>\n      <td>2020-02-13 15:00:00+08:00</td>\n      <td>-0.010148</td>\n      <td>-0.001060</td>\n      <td>-0.009088</td>\n      <td>0.000083</td>\n    </tr>\n    <tr>\n      <td>2020-02-13 16:00:00+08:00</td>\n      <td>-0.007774</td>\n      <td>0.000107</td>\n      <td>-0.007881</td>\n      <td>0.000062</td>\n    </tr>\n    <tr>\n      <td>2020-02-13 17:00:00+08:00</td>\n      <td>-0.009289</td>\n      <td>-0.000017</td>\n      <td>-0.009273</td>\n      <td>0.000086</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u7136\u540e\u7ed8\u5236\u51fa\u6837\u672c\u7684\u6b8b\u5dee\u5e8f\u5217\u56fe"}, {"metadata": {"trusted": false}, "cell_type": "code", "source": "fig, ax = plt.subplots(figsize=(18, 6))\nax1 = fig.add_subplot(2,1,1)\nat['res'][1:].plot(ax=ax1,label='resid')\nplt.legend(loc='best')\n\nax2 = fig.add_subplot(2,1,2)\nat['res2'][1:].plot(ax=ax2,label='resid2')\n\nplt.legend(loc='best')\nplt.tight_layout()\nsns.despine()", "execution_count": 69, "outputs": [{"data": {"image/png": 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\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53ef\u4ee5\u770b\u5230\uff0c\u6b8b\u5dee\u5e8f\u5217\u6709\u660e\u663e\u7684\u805a\u96c6\u7279\u6027\uff0c\u53ef\u4ee5\u521d\u6b65\u5224\u65ad\u8be5\u5e8f\u5217\u5177\u5907ARCH\u6548\u5e94\uff0c\u540c\u6837\u91c7\u53d6ACF\u6765\u68c0\u9a8c\u6b8b\u5dee\u5e73\u65b9\u7684\u81ea\u76f8\u5173\u6027\uff0c\u7ed3\u679c\u5982\u4e0b\u3002"}, {"metadata": {"trusted": false}, "cell_type": "code", "source": "figure = plt.figure(figsize=(18,4))\nax1 = figure.add_subplot(111)\nfig = sm.graphics.tsa.plot_acf(at['res2'],lags = 40, ax=ax1)", "execution_count": 70, "outputs": [{"data": {"image/png": 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m87J+3cxR89avm8kVm86bUEUAAJwphAgAU2bbZRdky+YNqbnZpA1yzmhMhG2XXTDp0gAAWOWECABTZmZN5YbrrsrGuz+SDXs/mV+59qUGVQQAYFl0GhMBgJVlZk3lnAP35JwD9xgHAQCAZaMlAgAAANCJEAEAAADoRIgAAAAAdCJEAAAAADoRIgAAAACdCBEAAACAToQIAAAAQCdCBAAAAKATIQIAAADQiRABAAAA6GTtpAtg+swNWm7dtS87HziYKzedl22XXZCZNTXpsgAAAOiZEIGTMjdoeeP7bsuOPQdyaHYu69fNZMvmDbnhuqsECQAAAKuc7gyclFt37cuOPQfy+OxcWpLHZ+eyY8+B3Lpr36RLAwAAoGdCBE7KzgcO5tDs3FHzDs3O5c4HDk6oIgAAAJaLEIGTcuWm87J+3cxR89avm8kVm86bUEUAAAAsFyECJ2XbZRdky+YNqbnZpA1yzmhMhG2XXTDp0gAAAOiZEIGTMrOmcsN1V2Xj3R/Jhr2fzK9c+1KDKgIAAJwhXJ2BkzazpnLOgXtyzoF78urLL5x0OQAAACwTIQIAU21u0HLrrn3Z+cDBXLnpvGy77AKtowAAeiJEAGBqzQ1a3vi+27Jjz4Ecmp3L+tE4LbpZAQD0w5gIAEytW3fty449B/L47Fxaksdn57Jjz4HcumvfpEsDAFiVhAgATK2dDxzModm5o+Ydmp3LnQ8cnFBFAACrm+4Mq5h+wsBqd+Wm87J+3UweHwsS1q+byRWbzptgVQAAq1enEKGqrk7yy0lmkvxma+3nF9z/40l+MMnhJPuT/I+ttfuWuFZOgn7CwJlg22UXZMvmDfnUX38pbc3anHP2WdmyeUO2XXbBpEsDAFiVFu3OUFUzSd6T5LVJrkhybVVdsWCxzybZ2lp7cZLfT/J/LHWhq9XcoOWWux7Ku2+5O7fc9VDmBm1J1qufMHAmmFlTueG6q7Lx7o9kw95P5leufamwFACgR11aIrw8ye7W2j1JUlUfSvL6JHfOL9Ba+/jY8p9O8n1LWeRq1WdrgRP1E3715Ree1roBVpKZNZVzDtyTcw7c4/cbAEDPugyseFGSPWPTe0fzjue6JH90rDuq6vqq2l5V2/fv39+9ylWqz9YC8/2Ex+knDAAAwOlY0qszVNX3Jdma5N8c6/7W2ntba1tba1s3bty4lE89lfocVXy+n3DNzSZtkHNGrRz0EwYAAOBUdQkR7k+yeWz64tG8o1TVdyT5F0muaa09uTTlrW59thbQTxgAAICl1iVE+EySS6vqhVW1Lskbktw0vkBVvTTJr2cYIBi5r6O+WwvM9xPecP+n8+rLLxQgAAAAcFoWDRFaa4eTvCXJR5PcleTG1trOqnpXVV0zWuzfJDk3yf9dVTuq6qbjrI4xWgsAAAAwTbpcnSGttZuT3Lxg3jvHbn/HEtd1xjCqOHCmmBu03LprX3Y+cDBXbjov2y67QGgKADBlOoUIAHA6+rykLQAAy2dJr84AAMfS5yVtAQBYPkIEAHrX5yVtAQBYPkIEAHrX5yVtAQBYPkIEAHrX9yVtAQBYHkIEAHrnkrYAAKuDqzMAsCxc0hYAYPppiQAAAAB0IkQAAAAAOhEiAAAAAJ0IEQAAAIBODKwIAMcxN2i5dde+7HzgYK7cdF62XXaBK0oAAGc0IQIAHMPcoOWN77stO/YcyKHZuaxfN5MtmzdM1aUpW2vL/HyL3L88ZSy75d7OwOKW6qh0eHO6qpKzZlZXBwAhAiuKb/1g8uYGLXODltbDKd9g9Gnsiafmkhz5cNbSxm4PT8rmn721PP1p8HjLPTU3SJLsO/hE2uh5Wjvys7XhYwdt+JhBG65hMLpvfPn5Ov/sC1/JHV98JE88NVz347NzueO+R/Kbn7gnWy959tOv6VgfMBfOOuYyJ/hk2mXL+2ALACvfOetm8pLNGyZdxpISIrBi9Pmtn3CCM83huUEOj8KAw4OWw3ODp2+PzzvWdJ8np489cThJ8tkvHljS9R6aHYYSn9//tSVb564HH82TowBh3pOHB9m977G8+OLV9WEAAKArIQLLajBoGYy+BRz+HJ7ADFpy61/ty2e/eCCHRt9QPj47l89+8UD+4LP359svPb/bN3sLlmptGCD82Id35M4HDuaJp+byjLNmcsWm8/KL37PlqCDheN8KLtUJ1aS+Nezj2+RJO9G2XOzVTqrZcR/PeuipuaQld33pYA7PtRweHAkKfEt9+i557jOzbu2aPHn4SJCwbu2aXPLcZ06wKgCAyRIinCHmBu3pJrzzzYGfbsKbI015c4x5bcH0oLXhh+qW3Pvlr2WuDdc9NzgSDAxGtxfed6ITm/+6+8tPN3Ge98RTc/n0PQ9n04b1p/za77jvkXzu/q8+fSJw6Km5fO7+r+YjOx7Iy17w7EUezUoxGLTs2HMg9z78tVzy3Gdmy+YNWXOGtyZ5avSePvD4UxOuZHXasnlDXnTBudn5xS8nM2tz9llr86ILzs2WJWqSOI3v6WmsGQBYWkKEHu35yuNP968d9sc9ckLeRv1xWxs2w21J/urBg0f6+o6d7C+c/vr1HFnX/Lz5+w8eGp5c/NkXvrKkr+3J0cn+l776xJKts69v/e59+GuZPXx0k+TZw4Pc+/DXhAhTYjBo+bk/uiu79z2W2cODrFu7Ji+64Ny847WXO4GhN2vWVN7x2svzwz/61syde2He8ubrl+ykeRrf09NYMwCw9IQIPdr7yKFOy80PCPbI187sbxP7+tZPk+Tpt2PPgeze99jT+3C+X/qOPQcEQfRqzZrKuod3Jw/vzste8JNLtt5pfE9PY80AwNJbXdeaYKrNf+t37p1/kPVf+ET+l1dduiTfcM2HEzk8m7RBzh59e7ZUTZLp34lak8A0msb39DTWDKxug0HLHfc9kv94x97ccd8jGQwMCATLQUsEVpQ+vvXrs0kyy0NrElabaXxPT2PNwOqlixVMjpYInBHmw4n1930yL3vBs/1xmTLT2prENyQczzS+p6exZmD1Gu9i1XJ0FyugX1oiwGnqc7TyvtY9bSOsT2Nrkmn9hmTa3hvTahrf09NYM7B6GTgbJkeIAKehzxPFvtY9rSe3fQ1w15dpHIRuWt8b06qv93SfQdC0HYd9ErjBZOliBZMjRIDT0OeJYl/r7vvk1gfroWn8hmQagw+OJghaHrYzTF5fV/UCFmdMBDgNfY5W3te6+6x5/oP1uz92d37/9r1598fuzs/90V1n5FgA89+QjFvp35AYfX/66SO8PGxnmLy+ruoFLE6IAKehzxPFvtbdZ80+WB8xjYPQTWPwwdGmNQjqcxDSPtZtO7MY2/qIPreFgbNhMjp1Z6iqq5P8cpKZJL/ZWvv5BfefneS3k/ytJA8n+Z7W2r1LWyqsPH02petr3X3WPI1N+JN+umBM4yB0moZOv2nsIzyNY8vYzqtDn4MX29ZDtsXX0+2T1WDREKGqZpK8J8lrkuxN8pmquqm1dufYYtcleaS19qKqekOSX0jyPX0UDCtJnyeKfa27z5p9sD7atA1CN43BB0ebxiBoGseWsZ2nX5+/+23rI2yLowlVWC2qtRM3KaqqVyb5mdba3xtNvz1JWmv/emyZj46W+VRVrU3yYJKN7QQrf84LLm+vecf7l+AlLJ8df74jSbLlJVs6LX/wiac6LXf3nZ9Lklx6xbecWmETWLeap3/dfay3tZYvfuVQHn/yqSSVWlNZf9ZMnv+c9ak6/T+OfdT86BOHc/+BQxn/bVWVXLRhfZ71jNMfe9Z7Y3nWPY0197Xu1lr+evc9ycy6bNr0vJx79sySHH/zlrrm/Y8+mS8/Nvt18zeeuy7nP+vsFbvuPrdzay2PPTmXJ56ayzPOmlmSdfe5LZJ+au5zvX3+7u/7fdfH9uhr3X2/75L+fo9O2/uuz/dGX6ax5lMxU5Vnnj191zO48c1/+/bW2tZj3dclRPiuJFe31n5wNP3GJFe11t4ytsznRsvsHU1/frTMlxes6/ok1yfJuc/7pr/1up++4dRf1RToGiLAajL/B+HJp+Zy9hT8QViODzjA8fX5obrvkLAPfYWxfZ+89FFzn8F0n7/7+9rWfW6PaXzf9WUa33d9f4nTR2g6jTWf6rpXY4iwrK+mtfbeJO9Nkq1bt7YP//Arl/Ppl92nPv/wpEsAFnHHfY/k3R+7+6guGGevXZMf+NsvPCObWsJym8YxEfo0/zspNRzktLVkbtDyD1580Wn9TupzW/RVc1/rHV93H7/7+9rWy7E9pul915dpfN/1WfP8Phw8Y0Myszb7H30y37B+Zb+f+6r5VNd9zrqZvGQFd3c7nhvffPz7uoQI9yfZPDZ98WjesZbZO+rO8A0ZDrAIsKLN921e+AFnJfdthtVkfiyOPgYa63PdfelrgNo+t0VfNfc5WG+fv/v72tZ9bo9pfN/1ZRrfd33WPD+uRdauS7J041pMY819r3uadAkRPpPk0qp6YYZhwRuSfO+CZW5K8qYkn0ryXUk+dqLxEABWimn8gAOrzZo1lZe94Nm9fADrc9196HOA2r62RV81970t+vzd38e27nN7TOP7ri/T+L7rs+a+Tvansea+1z1N1iy2QGvtcJK3JPlokruS3Nha21lV76qqa0aLvS/Jc6tqd5IfT/K2vgoGWGrzH3D+0csudp1pYKLmv6k8e+2aVIZNnVd666i+au57W0zb7/4+t8c0vu/6Mo3vuz5rnj/ZH7cUJ/vTWHPf654miw6s2JetW7e27du3T+S5l4sxEQCAkzWN15Hvq+Zp3BZ96nN72NZHTOO26PMY7HPcmmms+WTXPa1jIlTVqV+doS9CBAAAgJVNqHJ6616NIcL0XWsCAACAZTFt41okxtrp26JjIgAAAAAkQgQAAACgIyECAAAA0IkQAQAAAOhEiAAAAAB04uoMPbr0wnPTWtLSMvr39HR7enp4ic35K20e6/729P3tyHILlx27Pb6eJBm04XoGo3UMRssP2pHlAQAAYDFChB6df+7Zky6hk8FgGDfMhwqDNh8+HJl+OrQYmzceTsy1lsGgPT1/btDSWhvNn19+wX2D+WADAACAaSBEIGvWVJJkJjWR5x8MRmHDWOAwny20BU0ljpU5HLM1xTHmtWPMPNZjj5drLKxlseVP1kpsFXKsbbainKC8xSpfSdv7dLbz3GAYyB0e/XxqbnDU9OG5FfRCAQCYekIEJm7NmsqaCQUYsNq1NhYoDFrm5lqeGgyOPT03v9xw+oTrPe26xrpzZWWFOgAAHJ8QAWAVq6qcNVM5a2bSlSxufIyY8dZIR24fabUxPv5LcvRYMvNdsca7X83PTxuNE5MjXbLmx5UZX+7px+dIF6+FQcfXTS+IVroEI4st06WVyiQCmMVb+nSoe2lKWdWEa9AXB9ep8Dvp1KydWX1flgoRAFgRqmr086i5E6kFAIBjc4lHAAAAoBMhAgAAANCJEAEAAADoRIgAAAAAdCJEAAAAADoRIgAAAACdCBEAAACAToQIAAAAQCdCBAAAAKCTaq1N5omr9ie5byJPfnrOT/LlSRfBKbP/pp99OP3sw+lnH043+2/62YfTzz6cfqt9H76gtbbxWHdMLESYVlW1vbW2ddJ1cGrsv+lnH04/+3D62YfTzf6bfvbh9LMPp9+ZvA91ZwAAAAA6ESIAAAAAnQgRTt57J10Ap8X+m3724fSzD6effTjd7L/pZx9OP/tw+p2x+9CYCAAAAEAnWiIAAAAAnQgRAAAAgE6ECB1V1dVVtauqdlfV2yZdDyevqu6tqr+sqh1VtX3S9bC4qnp/Ve2rqs+NzXtOVf1JVd09+vnsSdbIiR1nH/5MVd0/OhZ3VNXrJlkjx1dVm6vq41V1Z1XtrKofHc13HE6JE+xDx+GUqKpnVNWfVdWfj/bhvxzNf2FV3Tb6bPrhqlo36Vr5eifYfx+oqi+MHYNbJl0rJ1ZVM1X12ar6w9H0GXsMChE6qKqZJO9J8tokVyS5tqqumGxVnKK/21rbcqZe03UKfSDJ1QvmvS3JLa21S5PcMppm5fpAvn4fJskvjo7FLa21m5e5Jro7nOStrbUrkrwiyY+M/v45DqfH8fZh4jicFk8meVVr7SVJtiS5uqpekeQXMrwxBBoAAAORSURBVNyHL0rySJLrJlgjx3e8/Zck/2zsGNwxuRLp6EeT3DU2fcYeg0KEbl6eZHdr7Z7W2mySDyV5/YRrglWvtfanSb6yYPbrk3xwdPuDSf7hshbFSTnOPmRKtNa+1Fq7Y3T70Qw/PF0Ux+HUOME+ZEq0ocdGk2eN/rckr0ry+6P5jsMV6gT7jylSVRcn+ftJfnM0XTmDj0EhQjcXJdkzNr03/gBPo5bkj6vq9qq6ftLFcMoubK19aXT7wSQXTrIYTtlbquovRt0dNIWfAlV1SZKXJrktjsOptGAfJo7DqTFqRr0jyb4kf5Lk80kOtNYOjxbx2XQFW7j/Wmvzx+DPjo7BX6yqsydYIov7pST/PMlgNP3cnMHHoBCBM8m3tdZelmG3lB+pqr8z6YI4PW14jVpp/vT5tSTflGGzzi8l+beTLYfFVNW5Sf5Dkh9rrR0cv89xOB2OsQ8dh1OktTbXWtuS5OIMW8j+zQmXxElYuP+q6luSvD3D/fjfJHlOkp+cYImcQFV9Z5J9rbXbJ13LSiFE6Ob+JJvHpi8ezWOKtNbuH/3cl+Q/ZfhHmOnzUFU9L0lGP/dNuB5OUmvtodEHqkGS34hjcUWrqrMyPPn8ndbafxzNdhxOkWPtQ8fhdGqtHUjy8SSvTLKhqtaO7vLZdAqM7b+rR12NWmvtySS/FcfgSvatSa6pqnsz7Nb+qiS/nDP4GBQidPOZJJeORuBcl+QNSW6acE2chKp6ZlU9a/52kv8uyedO/ChWqJuSvGl0+01J/p8J1sIpmD/5HPnv41hcsUZ9Pt+X5K7W2r8bu8txOCWOtw8dh9OjqjZW1YbR7fVJXpPh2BYfT/Jdo8UchyvUcfbfX40FsZVhX3rH4ArVWnt7a+3i1tolGZ4Hfqy19o9zBh+DNWyFyGJGlz76pSQzSd7fWvvZCZfESaiqv5Fh64MkWZvkd+3Dla+qfi/JtiTnJ3koyU8n+YMkNyZ5fpL7knx3a83AfSvUcfbhtgybULck9yb54bH+9awgVfVtST6R5C9zpB/oOzLsU+84nAIn2IfXxnE4FarqxRkO2jaT4ReAN7bW3jX6bPOhDJvCfzbJ942+1WYFOcH++1iSjUkqyY4kbx4bgJEVqqq2JfmJ1tp3nsnHoBABAAAA6ER3BgAAAKATIQIAAADQiRABAAAA6ESIAAAAAHQiRAAAAAA6ESIAAAAAnQgRAAAAgE7+f1J6hlACKb9QAAAAAElFTkSuQmCC\n"}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u5bf9\u5e8f\u5217\u8fdb\u884c\u6df7\u6210\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u662f\u5e8f\u5217\u6ca1\u6709\u76f8\u5173\u6027\uff0c\u53ef\u4ee5\u770b\u5230\u524d20\u9636\u7684\u6570\u636e\u5bf9\u5e94P\u503c\u5747\u5c0f\u4e8e0.05%\u7f6e\u4fe1\u6c34\u5e73\u4e34\u754c\u503c\uff0c\u6240\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u5373\u5e8f\u5217\u7684\u6b8b\u5dee\u5177\u5907ARCH\u6548\u5e94\uff0c\u53ef\u4ee5\u901a\u8fc7ARCH\u7c7b\u6a21\u578b\u8fdb\u884c\u65b9\u5dee\u6a21\u578b\u7684\u5efa\u7acb\uff0c\u7528\u4e8e\u62df\u5408\u6b8b\u5dee\u5e8f\u5217\u7684\u5f02\u65b9\u5dee\u7279\u6027\uff0c\u5e76\u8fdb\u4e00\u6b65\u9884\u6d4b\u6ce2\u52a8\u7387\u3002\n\n# 6\u3001GARCH\u5efa\u6a21\n\n\u5728\u6267\u884cGARCH\u5efa\u6a21\u524d\uff0c\u9700\u8981\u5bf9\u5e8f\u5217\u7684\u539a\u5c3e\u90e8\u5206\u505a\u4e00\u5b9a\u7684\u5904\u7406\uff0c\u56e0\u4e3a\u5047\u8bbe\u4e2d\u5e8f\u5217\u7684\u8bef\u5dee\u9879\u9700\u8981\u7b26\u5408\u6b63\u6001\u5206\u5e03\u6216\u8005t\u5206\u5e03\uff0c\u800c\u524d\u9762\u6211\u4eec\u5df2\u7ecf\u9a8c\u8bc1\u4e86\u6536\u76ca\u7387\u5e8f\u5217\u5b58\u5728\u539a\u5c3e\u7684\u5206\u5e03\uff0c\u6240\u4ee5\u9700\u8981\u5bf9\u8fd9\u90e8\u5206\u505a\u63cf\u8ff0\u8865\u5145\u3002\n\n\u5728GARCH\u5efa\u6a21\u4e2d\uff0c\u8bef\u5dee\u9879\u63d0\u4f9b\u4e86\u6b63\u6001\u5206\u5e03\u3001t\u5206\u5e03\u3001GED\uff08Generalized Error Distribution\uff0c\u5e7f\u4e49\u8bef\u5dee\u5206\u5e03\uff09\u5206\u5e03\u548cSkewed Students t\u5206\u5e03\u9009\u9879\uff0c\u6839\u636eAIC\u51c6\u5219\uff0c\u8fd9\u91cc\u7528\u7a77\u4e3e\u5f0f\u7684\u8054\u5408\u56de\u5f52\u4f30\u8ba1\uff0c\u6bd4\u5bf9\u4e86\u6240\u6709\u9009\u9879\u7684\u7ed3\u679c\uff0c\u5f97\u5230GED\u7684\u62df\u5408\u5ea6\u662f\u6700\u597d\u7684\uff0c\u8fc7\u7a0b\u5c31\u7565\u4e86\u3002\n\n\u5176\u4e2dNormal\u6b63\u6001\u5206\u5e03\u62df\u5408\u5ea6\u4e0d\u5982t\u5206\u5e03\uff0c\u4e5f\u8bf4\u660e\u6536\u76ca\u7387\u5206\u5e03\u6bd4\u6b63\u6001\u5206\u5e03\u6709\u66f4\u539a\u7684\u5c3e\u7aef\u3002\u63a5\u4e0b\u6765\u8fdb\u5165\u5efa\u6a21\u8fc7\u7a0b\uff0c\u5bf9log_return\uff08\u5bf9\u6570\u6536\u76ca\u7387\uff09\u6267\u884cARMA-GARCH(1,1)\u6a21\u578b\u56de\u5f52\u4f30\u8ba1\u5982\u4e0b\uff1a"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "am_GARCH = arch_model(training_garch, mean='AR', vol='GARCH',\n                      p=1, q=1, lags=3, dist='ged')\nres_GARCH = am_GARCH.fit(disp=False, options={'ftol': 1e-01})\nres_GARCH.summary()", "execution_count": 23, "outputs": [{"output_type": "stream", "text": "Iteration:      1,   Func. Count:     10,   Neg. LLF: -1917.4262154917305\n", "name": "stdout"}, {"output_type": "execute_result", "execution_count": 23, "data": {"text/plain": "<class 'statsmodels.iolib.summary.Summary'>\n\"\"\"\n                                 AR - GARCH Model Results                                 \n==========================================================================================\nDep. Variable:                         log_return   R-squared:                       0.008\nMean Model:                                    AR   Adj. R-squared:                  0.003\nVol Model:                                  GARCH   Log-Likelihood:                1919.74\nDistribution:      Generalized Error Distribution   AIC:                          -3823.47\nMethod:                        Maximum Likelihood   BIC:                          -3787.78\n                                                    No. Observations:                  640\nDate:                            Fri, Jul 10 2020   Df Residuals:                      632\nTime:                                    02:12:46   Df Model:                            8\n                                    Mean Model                                   \n=================================================================================\n                     coef    std err          t      P>|t|       95.0% Conf. Int.\n---------------------------------------------------------------------------------\nConst          3.1597e-04  3.114e-04      1.015      0.310 [-2.943e-04,9.262e-04]\nlog_return[1]     -0.0948  5.384e-02     -1.760  7.835e-02    [ -0.200,1.075e-02]\nlog_return[2]     -0.0250  4.659e-02     -0.537      0.591    [ -0.116,6.629e-02]\nlog_return[3] -6.9184e-03  3.512e-02     -0.197      0.844 [-7.575e-02,6.192e-02]\n                              Volatility Model                              \n============================================================================\n                 coef    std err          t      P>|t|      95.0% Conf. Int.\n----------------------------------------------------------------------------\nomega      7.9633e-06  6.395e-11  1.245e+05      0.000 [7.963e-06,7.963e-06]\nalpha[1]       0.1000  5.421e-02      1.845  6.508e-02  [-6.246e-03,  0.206]\nbeta[1]        0.8800  1.727e-02     50.945      0.000     [  0.846,  0.914]\n                              Distribution                              \n========================================================================\n                 coef    std err          t      P>|t|  95.0% Conf. Int.\n------------------------------------------------------------------------\nnu             1.5000  1.184e-03   1267.280      0.000 [  1.498,  1.502]\n========================================================================\n\nCovariance estimator: robust\n\"\"\"", "text/html": "<table class=\"simpletable\">\n<caption>AR - GARCH Model Results</caption>\n<tr>\n  <th>Dep. Variable:</th>           <td>log_return</td>           <th>  R-squared:         </th>  <td>   0.008</td> \n</tr>\n<tr>\n  <th>Mean Model:</th>                  <td>AR</td>               <th>  Adj. R-squared:    </th>  <td>   0.003</td> \n</tr>\n<tr>\n  <th>Vol Model:</th>                  <td>GARCH</td>             <th>  Log-Likelihood:    </th> <td>   1919.74</td>\n</tr>\n<tr>\n  <th>Distribution:</th>  <td>Generalized Error Distribution</td> <th>  AIC:               </th> <td>  -3823.47</td>\n</tr>\n<tr>\n  <th>Method:</th>              <td>Maximum Likelihood</td>       <th>  BIC:               </th> <td>  -3787.78</td>\n</tr>\n<tr>\n  <th></th>                              <td></td>                <th>  No. Observations:  </th>     <td>640</td>   \n</tr>\n<tr>\n  <th>Date:</th>                 <td>Fri, Jul 10 2020</td>        <th>  Df Residuals:      </th>     <td>632</td>   \n</tr>\n<tr>\n  <th>Time:</th>                     <td>02:12:46</td>            <th>  Df Model:          </th>      <td>8</td>    \n</tr>\n</table>\n<table class=\"simpletable\">\n<caption>Mean Model</caption>\n<tr>\n        <td></td>           <th>coef</th>      <th>std err</th>      <th>t</th>       <th>P>|t|</th>      <th>95.0% Conf. Int.</th>   \n</tr>\n<tr>\n  <th>Const</th>         <td>3.1597e-04</td>  <td>3.114e-04</td> <td>    1.015</td> <td>    0.310</td> <td>[-2.943e-04,9.262e-04]</td>\n</tr>\n<tr>\n  <th>log_return[1]</th> <td>   -0.0948</td>  <td>5.384e-02</td> <td>   -1.760</td> <td>7.835e-02</td>   <td>[ -0.200,1.075e-02]</td> \n</tr>\n<tr>\n  <th>log_return[2]</th> <td>   -0.0250</td>  <td>4.659e-02</td> <td>   -0.537</td> <td>    0.591</td>   <td>[ -0.116,6.629e-02]</td> \n</tr>\n<tr>\n  <th>log_return[3]</th> <td>-6.9184e-03</td> <td>3.512e-02</td> <td>   -0.197</td> <td>    0.844</td> <td>[-7.575e-02,6.192e-02]</td>\n</tr>\n</table>\n<table class=\"simpletable\">\n<caption>Volatility Model</caption>\n<tr>\n      <td></td>        <th>coef</th>     <th>std err</th>      <th>t</th>       <th>P>|t|</th>     <th>95.0% Conf. Int.</th>   \n</tr>\n<tr>\n  <th>omega</th>    <td>7.9633e-06</td> <td>6.395e-11</td> <td>1.245e+05</td>   <td>0.000</td>   <td>[7.963e-06,7.963e-06]</td>\n</tr>\n<tr>\n  <th>alpha[1]</th> <td>    0.1000</td> <td>5.421e-02</td> <td>    1.845</td> <td>6.508e-02</td> <td>[-6.246e-03,  0.206]</td> \n</tr>\n<tr>\n  <th>beta[1]</th>  <td>    0.8800</td> <td>1.727e-02</td> <td>   50.945</td>   <td>0.000</td>     <td>[  0.846,  0.914]</td>  \n</tr>\n</table>\n<table class=\"simpletable\">\n<caption>Distribution</caption>\n<tr>\n   <td></td>     <th>coef</th>     <th>std err</th>      <th>t</th>     <th>P>|t|</th> <th>95.0% Conf. Int.</th> \n</tr>\n<tr>\n  <th>nu</th> <td>    1.5000</td> <td>1.184e-03</td> <td> 1267.280</td> <td>0.000</td> <td>[  1.498,  1.502]</td>\n</tr>\n</table><br/><br/>Covariance estimator: robust"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u6839\u636eARCH\u5e93\u5bf9GARCH\u6ce2\u52a8\u7387\u65b9\u7a0b\u63cf\u8ff0\uff1a\n\n$$\n\\sigma_{t}^{2}=\\omega_{0}+\\sum_{i=1}^{p} a_{1} \\epsilon_{t-i}^{2}+\\sum_{k=1}^{q} \\beta_{1} \\sigma_{t-k}^{2}\n$$\n\n\u53ef\u4ee5\u5f97\u5230\u6ce2\u52a8\u7387\u7684\u6761\u4ef6\u56de\u5f52\u65b9\u7a0b\u4e3a\uff1a\n\n$$\n\\sigma_{t}^{2}=0.0000071055+0.1 \\epsilon_{t-1}^{2}+0.88 \\sigma_{t-1}^{2}\n$$\n\n\u7ed3\u5408\u62df\u5408\u7684\u9884\u6d4b\u6ce2\u52a8\u7387\uff0c\u4e0e\u6837\u672c\u7684\u5df2\u5b9e\u73b0\u6ce2\u52a8\u7387\u8fdb\u884c\u6bd4\u8f83\uff0c\u770b\u770b\u6548\u679c\u3002\n"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "def recursive_forecast(pd_dataframe):     \n    window = predict_lag\n    model = 'GARCH'\n    index = kline_test[1:].index\n    end_loc = np.where(index >= kline_test.index[window])[0].min()\n    forecasts = {}\n    for i in range(len(kline_test[1:]) - window + 2):\n        mod = arch_model(pd_dataframe['log_return'][1:], mean='AR', vol=model, dist='ged',p=1, q=1)\n        res = mod.fit(last_obs=i+end_loc, disp='off', options={'ftol': 1e03})\n        temp = res.forecast().variance\n        fcast = temp.iloc[i + end_loc - 1]\n        forecasts[fcast.name] = fcast\n\n    forecasts = pd.DataFrame(forecasts).T\n    pd_dataframe['recursive_{}'.format(model)] = forecasts['h.1']\n    evaluate(pd_dataframe, 'realized_volatility_1_hour', 'recursive_{}'.format(model))\n\nrecursive_forecast(kline_test)", "execution_count": 26, "outputs": [{"output_type": "stream", "text": "Mean Absolute Error (MAE): 0.0128\nMean Absolute Percentage Error (MAPE): 95.6\nRoot Mean Square Error (RMSE): 0.018\n", "name": "stdout"}, {"output_type": "display_data", "data": {"text/plain": "<Figure size 1296x360 with 1 Axes>", "image/png": 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\n"}, "metadata": {"needs_background": "light"}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u4e3a\u4e86\u6bd4\u8f83\uff0c\u987a\u624b\u505a\u4e2aARCH\u7684\uff0c\u5982\u4e0b\uff1a"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "def recursive_forecast(pd_dataframe):     \n    window = predict_lag\n    model = 'ARCH'\n    index = kline_test[1:].index\n    end_loc = np.where(index >= kline_test.index[window])[0].min()\n    forecasts = {}\n    for i in range(len(kline_test[1:]) - window + 2):\n        mod = arch_model(pd_dataframe['log_return'][1:], mean='AR', vol=model, dist='ged', p=1)\n        res = mod.fit(last_obs=i+end_loc, disp='off', options={'ftol': 1e03})\n        temp = res.forecast().variance\n        fcast = temp.iloc[i + end_loc - 1]\n        forecasts[fcast.name] = fcast\n\n    forecasts = pd.DataFrame(forecasts).T\n    pd_dataframe['recursive_{}'.format(model)] = forecasts['h.1']\n    evaluate(pd_dataframe, 'realized_volatility_1_hour', 'recursive_{}'.format(model))\n\nrecursive_forecast(kline_test)", "execution_count": 27, "outputs": [{"output_type": "stream", "text": "Mean Absolute Error (MAE): 0.0136\nMean Absolute Percentage Error (MAPE): 98.1\nRoot Mean Square Error (RMSE): 0.02\n", "name": "stdout"}, {"output_type": "display_data", "data": {"text/plain": "<Figure size 1296x360 with 1 Axes>", "image/png": 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/KEmaMGGCqqurdfnll+vss8/W2Wefvcf9L7jgAi1evFg33nijFi9erMWLF+udd97RqlWrdMYZZ0hyWzZGqnZ48skndfrpp6umpkZf/OIX9b3vfU8/+clPglDh4osvVjweV3d3d8aMh5HU1NRk3HfRokVatmxZTo/dlzHjAQCAMuW3WDgEDwCAMlJXVyfJnfFwxhlnaMWKFVqxYoXWrFmje++9d9jHRSKRjJkQ/f39wcfV1dXBC/5IJKK//e1vOv/88/Xkk0/qrLPO2uNcCxcu1MMPP6x3331XxhgdfvjhstZq7ty5wfWsXLlSf/rTn4a9ngcffFBLlizRzJkzddxxx6mtrU3PPfdccPsDDzyglpYWffnLX9a1114rSZo7d67eeOONYedQYGgEDwAAlClmPAAAytlJJ52kl156SevWrZPktku8++67OvLII7V161YtXbpUktTV1aVkMqmZM2dqxYoVchxHGzduDGY0ZOvu7lZnZ6c++9nP6sc//rHeeOONPe4ze/ZshcNhfe9739PChQslSUceeaRaW1v1yiuvSJISiYRWr1495NfYvXu3XnjhBX3wwQfasGGDNmzYoDvvvFMPPvhgxv2MMfre976nV199VW+//bZmz56tBQsW6Lvf/W4wjHLDhg36/e9/X8Cf4P6D4AEAgDLlBw60WgAAylFzc7MWLVqkiy66SPPmzdPJJ5+st99+W7FYTIsXL9a1116rY445RmeccYb6+/t1yimnaNasWZozZ47+6Z/+SR/96EeHPG9XV5fOPvtszZs3Tx//+Md1++23D3m/hQsX6te//rUuuOACSVIsFtOjjz6qG264Qcccc4zmz5+vl19+ecjHPvbYY/rkJz+pqqqq4Ni5556rJ554QgMDAxn3ramp0b/+678GAyZ//vOfa/v27TrssMN01FFH6Stf+YqmTp2a95/f/sRkrwwpZwsWLLD0xwAA9hcX3vOKXm1p1/+++KP67NHD96gCAPYPb731lj7ykY+M92UAQ/4sGmOWW2sXDHV/Kh4AAChTfhssrRYAAKCSsdUCAIAylWLGAwAARbv66qv10ksvZRy77rrr9NWvfnWcrmj/Q/AAAECZ8gMHggcAgM9aK2PMeF9GRbnzzjvH+xL2KYWMa6DVAgCAMhVstaigeUwAgLFTXV2ttra2gl74AaVgrVVbW5uqq6vzehwVDwAAlCnWaQIA0s2YMUObNm1Sa2vreF8K9mPV1dWaMWNGXo8heAAAoEylGC4JAEgTjUY1a9as8b4MIG+0WgAAUKYcL3BwKKkFAAAVLKfgwRhzljHmHWPMOmPMjUPc/gljzOvGmKQx5vys21LGmBXer8fTjs8yxrzmnXOxMSZW/NMBAGDfwVYLAACwLxg1eDDGhCXdKekzkuZIusgYMyfrbh9I+oqk3wxxij5r7Xzv1zlpx2+V9GNr7WGSdkm6vIDrBwBgn+Ww1QIAAOwDcql4OEHSOmtti7U2LukhSeem38Fau8Fa+6YkJ5cvatz9L5+U9Kh36JeSzsv5qgEA2A9Q8QAAAPYFuQQP0yVtTPt8k3csV9XGmGXGmFeNMX640CSpw1qbHO2cxpgrvccvY3orAGB/wjpNAACwL9gbWy0OtdZuNsZ8SNJzxpiVkjpzfbC19h5J90jSggUL+JcXAGC/4fhbLVL89QcAACpXLhUPmyUdnPb5DO9YTqy1m73fWyQ9L+lYSW2SJhpj/OAjr3MCALA/8FssqHgAAACVLJfgYamkw70tFDFJF0p6fJTHSJKMMZOMMVXex1MknSJpjbXWSvqzJH8Dxpcl/S7fiwcAYF/mBw4OMx4AAEAFGzV48OYwXCPpaUlvSXrYWrvaGHOLMeYcSTLGHG+M2STpS5LuNsas9h7+EUnLjDFvyA0a/sNau8a77QZJ1xtj1smd+XBvKZ8YAACVzg8ckgQPAACgguU048Fa+5Skp7KO3ZT28VK57RLZj3tZ0tHDnLNF7sYMAAAwBIZLAgCAfUEurRYAAGAc+DMeaLUAAACVjOABAIAy5ecNtFoAAIBKRvAAAECZouIBAADsCwgeAAAoUylmPAAAgH0AwQMAAGXKr3RIOeN8IQAAAEUgeAAAoEwFWy0ckgcAAFC5CB4AAChD1tpguCQVDwAAoJIRPAAAUIbS50k6zHgAAAAVjOABAIAylEpLHlinCQAAKhnBAwAAZSi9yoF1mgAAoJIRPAAAUIbSg4cUwQMAAKhgBA8AAJQhWi0AAMC+guABAIAylL5Bk+GSAACgkhE8AABQJtq6B2S9kCFFqwUAANhHEDwAAFAGtnT06YQfPqu/rW+XlBk2EDwAAIBKRvAAAEAZaO+JK+VYbe8akMRwSQAAsO8geAAAoAz4QUMy5WR8LmW2XQAAAFQaggcAAAqwuz+h1Vs6S3Y+v6ohmbIZn0uSQ8UDAACoYAQPAAAU4P6XN+j8n70SDIMslh80JLx1FulbLVinCQAAKhnBAwAABegeSKkv4f4qhT0qHtICDdZpAgCASkbwAABAAfxKh+6BZEnO5wcNCW/GA1stAADAvoLgAQCAAvhhQM9AaSoe/NYKv63CstUCAADsI3IKHowxZxlj3jHGrDPG3DjE7Z8wxrxujEkaY85POz7fGPOKMWa1MeZNY8zCtNsWGWPWG2NWeL/ml+YpAQAw9vwsoKdEFQ9JL3nwt1qkCB4AAMA+IjLaHYwxYUl3SjpD0iZJS40xj1tr16Td7QNJX5H0zayH90q61Fq71hhzkKTlxpinrbUd3u3fstY+WuyTAABgb3NK3GrhBK0WmVstYpEQ6zQBAEBFGzV4kHSCpHXW2hZJMsY8JOlcSUHwYK3d4N3mpD/QWvtu2sdbjDE7JDVL6hAAABXMDwa6+0s04yFotcjcahELh6h4AAAAFS2XVovpkjamfb7JO5YXY8wJkmKS3ks7/AOvBePHxpiqfM8JAMB48SsUeuKlCh6G3moRDRuCBwAAUNH2ynBJY8w0Sb+S9FVrrV8V8W+SPizpeEmTJd0wzGOvNMYsM8Ysa21t3RuXCwDAqPZWq0U0HJJD8AAAACpYLsHDZkkHp30+wzuWE2NMo6TfS/qOtfZV/7i1dqt1DUi6T25Lxx6stfdYaxdYaxc0Nzfn+mUBABhTfitE6YZLehUP3omtHQwekgQPAACgguUSPCyVdLgxZpYxJibpQkmP53Jy7/6PSbo/e4ikVwUhY4yRdJ6kVflcOAAA4ykVVDyUap3m0BUPVZFQUA0BAABQiUYNHqy1SUnXSHpa0luSHrbWrjbG3GKMOUeSjDHHG2M2SfqSpLuNMau9h18g6ROSvjLE2swHjDErJa2UNEXS90v6zAAAGEPBjIcSVTwMznjIXKcZYcYDAACocLlstZC19ilJT2Uduynt46VyWzCyH/drSb8e5pyfzOtKAQAoI36FQsmCB+u3Wljv/O7xKFstAABAhdsrwyUBANjXeB0RJRsumQpaLTIrHmIRggcAAFDZCB4AACjA2LVa2IzzR8OhIIQAAACoRAQPAAAUYLDVokTDJW3mVgv//LFwKGi7AAAAqEQEDwAAFMAJtlqUutUic6tFNGyCMAIAAKASETwAAFAAbxRDyYOHoOIhrdXCsZKl3QIAAFQoggcAAAowVjMeBise3OPRSMj7eiX5MgAAAHsdwQMAAAUoeauFP+Mhe6tF2P2rmnYLAABQqQgeAAAogF+hMJB0grCgGE5WxYPNCh7IHQAAQKUieAAAoADpIxdKsdnCzy4SfsWDP1wyYtzPmfEAAAAqFMEDAAAFSKUNXeiOF99ukfJKGpJO9lYL96/qVIrgAQAAVCaCBwAACuCkVSCUYsBk9owHJ6vVgooHAABQqQgeAAAoQHrwUIoBk4OtFllbLfzggbUWAACgQhE8AABQgJRjVeWtuixFxYMfZPjbK/zP/eDBoeIBAABUKIIHAAAK4FipsSYqqUStFo7famG983utFhF/nSbBAwAAqEwEDwAAFMCxVg3VEUlSV3/pgoc9tlqE3a0WDsEDAACoUAQPAAAUwLFWjdVjUPEw3FYLggcAAFChCB4AAChAyklrtYinij+fHbrVwg8eaLUAAACViuABAIACOI5VdSSkSMiUZKuF30qRcPxWC/e4P+OB4ZIAAKBSETwAAFAAx1qFQ0Y10bD6EyWoePCCB2vdjwcrHkzG7QAAAJWG4AEAgAKkrFUoZBQJm6A9oqjzpQULiZQTVEDEmPEAAAAqHMEDAAAFsFYKGaNIOKSk1x5RjFRaK0XSscHnDJcEAACVjuABAIACpByrsJGiIaNEiSsekmkVD2G/1YIZDwAAoEIRPAAAUADHa7WIRkJKpoqveEgfHplIuRUP4ZBRJMSMBwAAUNlyCh6MMWcZY94xxqwzxtw4xO2fMMa8boxJGmPOz7rty8aYtd6vL6cdP84Ys9I7538bY0zxTwcAgL3DcazbalGiiof0ORFJx5FjpbAxChuCBwAAUNlGDR6MMWFJd0r6jKQ5ki4yxszJutsHkr4i6TdZj50s6buSTpR0gqTvGmMmeTf/TNLXJB3u/Tqr4GcBAMBelrJWYWMUDYeUKHHFQzJl3WAjJIW8igeH4AEAAFSoXCoeTpC0zlrbYq2NS3pI0rnpd7DWbrDWvikp+19eZ0p6xlrbbq3dJekZSWcZY6ZJarTWvmqttZLul3ResU8GAIC9xbFSKCR3q0UJQoHsrRbuDIm0VgtmPAAAgAqVS/AwXdLGtM83ecdyMdxjp3sfj3pOY8yVxphlxphlra2tOX5ZAADG1mCrRWkqHtK7NfytFqGQCSoeShFuAAAAjIeyHy5prb3HWrvAWrugubl5vC8HAABJ3nBJYxQrVatFVsWDH2z4Mx5otQAAAJUql+Bhs6SD0z6f4R3LxXCP3ex9XMg5AQAYdynH2zoRNhmDIQuVdAbDi2TaVoswWy0AAECFyyV4WCrpcGPMLGNMTNKFkh7P8fxPS/q0MWaSN1Ty05KettZulbTbGHOSt83iUkm/K+D6AQAYF9bKbbUIh5QoQSiQljsEWy1ChuABAABUvlGDB2ttUtI1ckOEtyQ9bK1dbYy5xRhzjiQZY443xmyS9CVJdxtjVnuPbZf0PbnhxVJJt3jHJOkbkn4uaZ2k9yT9oaTPDACAMZSyViEjRUNGyZLMeHDPJ0kJb6tFOKTB4IHhkgAAoEJFcrmTtfYpSU9lHbsp7eOlymydSL/fLyT9YojjyyQdlc/FAgBQLkrdapFyrKoiYfUlUm6rhbfVImSoeAAAAJWt7IdLAgBQjqyVjDGKlmi4ZMqxqo66fy0nHCfYahGh1QIAAFQ4ggcAAArgDn+UGzw4pQkeqiJhSe5wyWCrBcEDAACocAQPAAAUwLFuK0QkVJpWC8daVXkVD8mUO1wyHDIKecGDw4wHAABQoQgeAADIk7U2aLWIhENKlGzGg99qYYNhk36rRZKKBwAAUKEIHgAAyJPf9hAOGcXCRslStFrY9FYLx9tqMThc0iF4AAAAFYrgAQCAPPkZQMjIrXhIlna4pL/VghkPAABgX0DwAABAnvx5CyFvnWaiBKFA+nDJhOPIsVnBA7kDAACoUAQPAADkKQgejFE0FFKyBOs0nbQZD37FQziUXvFQ/NcAAAAYDwQPAADkKZjxYNyKB8cWP4MhlbbVIuFttQiFjMLGDx6Ku2YAAIDxQvAAAECeghkPIaNo2N9EUVwykHKsqv1Wi5T11nUqqHhgnSYAAKhUBA8AAOTJr24IGSkadoOBYldqphyrqujgVovsVoskQx4AAECFioz3BQAAUGlSdnCdprX+XIbiKx78GQ8JZ3CrhZc7BF8TAACg0lDxAABAnvy2B2NMySoeHOsOq4yEjJKpwa0Wxgsfip0hAQAAMF6oeAAAIE/+OIewMQr5rRAlmPEQCbvDKpOOlWMH5ztEQiElCR4AAECFIngAACBPTtBqIYVDXntEsvgZD/56zoQ348EPNUIhhksCAIDKRasFAAB58tdpZrRaFFvxYK3CIbkVD2lbLSS3siJFxQMAAKhQBA8AAOTJLz4IG6NIyB8uWXzFQ9gYRcIhJZ3BrRaS23JB8AAAACoVwQMAAHnyN0yEvAoFSUoUsdUiWM8ZMoqGjBIpd6uFMd6Mh2ifoxkAACAASURBVHCoqPMDAACMJ4IHAADy5FcfhIxRLOxVPBRRkeA/NhLyKh68rRZhL3ioqwqrN54q8qoBAADGB8EDAAB5snYweChJxYMdrHiIhI0SWVstGqqi6upPFHnVAAAA44PgAQCAPKWCrRaDMx6KCR78Coqwt9UimXLkpG21qK+OqKs/WeRVAwAAjA+CBwAA8uQvsAilbbUoZrhkRpDhbbVIpW21aCR4AAAAFSyn4MEYc5Yx5h1jzDpjzI1D3F5ljFns3f6aMWamd/xiY8yKtF+OMWa+d9vz3jn926aW8okBADBWgtYII0WDGQ8lGC7pbbVIOO5wyaDioSqi7gGCBwAAUJlGDR6MMWFJd0r6jKQ5ki4yxszJutvlknZZaw+T9GNJt0qStfYBa+18a+18SZdIWm+tXZH2uIv92621O0rwfAAAGHNBa0QofcZDCYZLht2tFkGrhTdcsqGaGQ8AAKBy5VLxcIKkddbaFmttXNJDks7Nus+5kn7pffyopE8ZfwfYoIu8xwIAUNGctOGSfsVDSdZpmsFWC8cq2Grhz3jwh1oCAABUklyCh+mSNqZ9vsk7NuR9rLVJSZ2SmrLus1DSg1nH7vPaLP7XEEGFJMkYc6UxZpkxZllra2sOlwsAwNjK2EIRKu2Mh2g4pITjKGUHWy0aqiNKOlYDycLDDQAAgPGyV4ZLGmNOlNRrrV2Vdvhia+3Rkk71fl0y1GOttfdYaxdYaxc0NzfvhasFAGBkXoGCu4WiBBUP6VstIiGv4sGx8k6thqqIJGk37RYAAKAC5RI8bJZ0cNrnM7xjQ97HGBORNEFSW9rtFyqr2sFau9n7vUvSb+S2dAAAUPZSzlDDJYuoeHDSKijCISVSjrfVYnDGgyR1s9kCAABUoFyCh6WSDjfGzDLGxOSGCI9n3edxSV/2Pj5f0nPWa0Q1xoQkXaC0+Q7GmIgxZor3cVTS2ZJWCQCACpDRahGs0yy+4iESMoqFQ0p6Wy38LsR6r+KBlZoAAKASRUa7g7U2aYy5RtLTksKSfmGtXW2MuUXSMmvt45LulfQrY8w6Se1ywwnfJyRttNa2pB2rkvS0FzqEJS2R9P+W5BkBADDG/M2ZIWMUDbkZfryIGQ/ZQYa/1SKcNuNBEis1AQBARRo1eJAka+1Tkp7KOnZT2sf9kr40zGOfl3RS1rEeScflea0AAJSFwWGQKlHFg/u7O+MhpIS/1SI0uNVCEis1AQBARcopeAAAAIP8CgWTNlyyFDMewiFpUm1UO7sH5FirkNdq0ejNeKDVAgAAVCKCBwAA8uSkbaGIehUPpdhqETJGR8+YEKzNDLZaVDPjAQAAVC6CBwAA8hSs0wwZGWMU9lZgFspv3YiEjY45YGJw3N9qUVfFjAcAAFC5ctlqAQAA0vgVCl4uoEjIlKzi4dCmWk2oiXrnd79ANBxSTTRckhkPb23dHXw9AACAvYHgAQCAPDnBcMnBYCBRgq0WfgXFvBkTMs4vuQMmi6142NLRp8/+9wt6Zs32os4DAACQD4IHAADyFKy/DCoSjJJO4RUPfpuG31ox/2C33SI9eGiojmh3kTMednYPyFqptXugqPMAAADkg+ABAIA8pbdGSFKkhBUPkjRvxsSM80tSQ1Wk6OGSfsVED7MiAADAXkTwAABAnrycQH5BQrREMx784OGYgycoZKTaWDi4T0N1VN1FznjoGUhJknoJHgAAwF7EVgsAAPKUHRREwiEliwke/NYN73xTG6r1yFUf05EHNgT3qa+KaPvu/oK/hjRY6dDtBRAAAAB7A8EDAAB5GmrGQ6KITRGOkznjQZKOO3RSxn0aSjBcklYLAAAwHmi1AAAgT05WhUK0yIqHZFYFxVDqq4uf8RBUPMQJHgAAwN5D8AAAQJ78jCEcDJc0wWaKQjg5BA8N1VF1DySD+xbCDx6GmvFw5f3LdO+L6ws+N0qvZyCpq3/zurZ09I33pQAAUBSCBwAA8jTYauF+HgmFFC/BjIeRgofGarc7sphqBX+2Q88QMx5eXLdTyza0F3xulN4727v0+ze36vE3toz3pQAAUBSCBwAA8rRnq0VxFQ/Z6zmHUl/lBQ9FtFsMDpfMPEd/IqXeeErtPfGCz43S60+4AdFrLW3jfCUAABSH4AEAgDxlD4OMhkNKOqVbpzmUibUxSSoqHPCrJXqyqibavHPu6iV4KCd+8LBsw66iZogAADDeCB4AAMiTX9wQMoPrNBMlqHgIj1DxcEBjlSQVtVKzJ9hqkdlq0d7tBg7tPYmCz43S60+4YUPXQFJrtu4e56sBAKBwBA8AAOTJBq0W7ufRkCmq4sFv3QiHhw8eDpxQLUnavnug4K/TM8w6zZ097jk7euPBc8P464sPBkSvtTB/AwBQuQgeAADIU/ZMhkjYKJEspuLB/X2kiocp9VUypriKB3+4ZF8iFTwHabDiIelYdQ2x8QLjoz/pfr8aqiN6bT1zHgAAlYvgAQCAPGVvoYiGQ0oUM+Mhq4JiKNFwSE11VUMGD6s2d2ogueemimzplQ7pcx7S50bsYsBk2fBbLU6cNVmrNtNqAQCoXAQPAADkye9G8AsUouFQcVstvJKHkSoeJOnACXsGD9s6+3XOHS/qdytGX7nYM5BUxAtL0kOItrSwgc0W5cMfLnnw5Fq199AGAwCoXAQPAADkKXsYZCRkito64GcWI221kKQDGqr3mPGwdkeXHOsGEKPpHkiqucEdUpk+YLK9Z/CcbLYoH/2JlIyRpk2oVjzl7LEGFQCASkHwAABAnpysVotIOKSEU/i70U4O6zQlaWpj9R4VDy2tPZJGDwySKUcDSUdTG90hlekVD+09cdVXRbyP2WxRLvriKVVHwppc54ZFVKMAACpVTsGDMeYsY8w7xph1xpgbh7i9yhiz2Lv9NWPMTO/4TGNMnzFmhffrrrTHHGeMWek95r+NGaW+FACAMuEHBf5fXdGwUaKoiofcgocDGqvU1hNXPDn4tVpauyWNPpvBr3A4IKh4GAwednbHNbu5TpK72QL5sdbq5y+0aEdX4YM/h9KfTKkmFlZTXUxSZksMsDdt6ejT71ZsHu/LAFDBRg0ejDFhSXdK+oykOZIuMsbMybrb5ZJ2WWsPk/RjSbem3faetXa+9+uqtOM/k/Q1SYd7v84q/GkAALD3pKzNCAmKnvGQtSVjOAd61Qqt3YOtES07/YqHkSsVur1hklMb3eChO6vi4ZCmOkVChnfVC7B2R7e+//u39PSqbSU9b3/CUXUkpMle8OBvHwH2tkeWbdJ1D60I5o4AQL5yqXg4QdI6a22LtTYu6SFJ52bd51xJv/Q+flTSp0aqYDDGTJPUaK191bqTku6XdF7eVw8AwDhwrJRenBAptuIhx1aLA7zgIX2eg99qMVqlgl/hcECDe47eePqMh7im1Mc0sTbGjIcCvLOtS5K7prSU+hIpVcfCg8EDoRDGSa8XXHaMEnACwHByCR6mS9qY9vkm79iQ97HWJiV1SmrybptljPm7MeYvxphT0+6/aZRzSpKMMVcaY5YZY5a1trbmcLkAAIwtx7EZ1QnRUEjJImY8ZA+rHI5frbDDm/PQn0hpS2efJKl9hMAg5digwsEPL/zPB5IpdQ8k1VQX0+S6KC9uC/Dudjd48NdfFiv43iTcGQ9N9W7wsLNnYKSHAWPGr3To6OP/DwAKM9bDJbdKOsRae6yk6yX9xhjTmM8JrLX3WGsXWGsXNDc3j8lFAgCQDyer1SISNko5Npj9UMj5jJFCo1Q8+K0W/oDJ9Tt7ZK00pb5KHcMMhXx722595H/9USs3dUoaDC/8Cgg/aJhcV6VJtTHtYrhk3vzgoRQVD0s3tOvYW/6krZ19bsVDNKTaWEQ10TCtFhg3fqhGxQOAQuUSPGyWdHDa5zO8Y0PexxgTkTRBUpu1dsBa2yZJ1trlkt6TdIR3/xmjnBMAgLKUcjLnMUTD7l+nCaewd7xTjh212kGSJtXGFA0bbe9y3/n22ywWHDpJXQPJIds93t3erXjK0Z/f2SHJDSmMGQwe2rr94CGmyXW0WhTi3e3ugM9S9L9vbO9VImW1paNP/QlHNbGwJPf7QzUKxosfqjF8FkChcgkelko63BgzyxgTk3ShpMez7vO4pC97H58v6TlrrTXGNHvDKWWM+ZDcIZIt1tqtknYbY07yZkFcKul3JXg+AACMOcfajBkP0bD7SaEDJlOOHbXaQXIrIqY2VGt7p1/x4L7gPfaQiZIGV2p29ib0P6+7HY3+C4XX398lSWqojqg2GlaPN+PB35TQVB/TJIKHvPUnUnq/rSf4uFj+C7zd/Un1e60Wkvv9YasFxkvQakHFA4ACjRo8eDMbrpH0tKS3JD1srV1tjLnFGHOOd7d7JTUZY9bJbanwV25+QtKbxpgVcodOXmWtbfdu+4akn0taJ7cS4g8lek4AAIwpx2YGBZGQ+9dpMcFDLhUPkrtSc6sXPLTs7NG0CdWaPqlG0uCLgv9vxWZd//Ab2tzRF7xLvrvfrXCoq4qoriqS1mrhVk9Mrotpcm1Mu3oTBbeM7I/W7eiW/8dVihkPfV4g1N2fDIZLSlQ8YHz1eyt8O/oIHgAUJpLLnay1T0l6KuvYTWkf90v60hCP+62k3w5zzmWSjsrnYgEAKAfZQYFf8VBwq4W1iuRQ8SBJB02s0arN7ryGTe19OnhyrSbVZm49aPVaMXbs7teurBer9VUR1VdFggGGfqtFU11ME2ujSjlWXf1JTaiNFvRc9jdrd7jzHWLhUBAaFMN/Z7l7IKmBhBNUPEyui2mt19IxlI7euG787Ur94PNHqam+qujrANJR8QCgWGM9XBIAgH2OYyUzxIyHeLKw4MHJsdVCkqZPrNGWzn45jtXmjj7NmFijiV5I4LdV+CX5bd1xtae9UAiHjKoiIdVWhTOGS0ZCRo3V0WBtI+0WuXtnW7eiYaPZU+vVnyxdq0VXfyIYLim5wVDbCFstVm7u1B9Xb9Myr6UGKKUB7+eyk60WAApE8AAAQJ4cxyqc9jfoJO8Fe1uBWweSTuaWjJEcNLFG8aSjHV0D2ra7X9Mn1aQFBgnvOtwXqDu7B7SrJ66Yd7F1sbCMMaqLRYIZD+09cU2qiykUMsHzGGk1JzJtbO/VwZNr1VAdKUnFQ1/cDa+6vRkPNVG/4qFK/QlHvfHkkI/r9b72ji5WbqL02GoBoFgEDwAA5Mmxma0W0ye6MxY2d/QWfL5QjjMeDvK+1usf7FLKsZo+sWaPVgu/4mFn94Dae+LB8Mn6qkjwe7DVoieuJi9wmOydJ7s9A8PrHkiqoSqi6mg46IMvxh7DJb3goWmUcMsPJFq9VatAKfXRagGgSAQPAADkKWVtRqvFYPBQ2Iu+VFYFxUgOmlgtSfrbendW8/RJNaqOhlUdDQWtFu1B8BDXrt64Dplcq4Mn16jOCx7Sh0u2dQ8EFRP+7wwxzF1fPKWaWFg10ZD6SzjjYVdvXI5VxjpNafjvDRUPGEvBjAeGSwIoEMEDAAB5crJaIybWRlUbC2vzrr6CzpdyBjdjjMYPOZZuaM/43N9IIbmVDpLU2j2gXb1xTa6L6fQjp2ruQY2SpLqqcDBcsr0nHryo9WdFMOMhd31eO4Rb8VCKVgv3HP6A0KqI+3Mxud6reBhmzkMfwQPG0OBwSf7fAKAwBA8AAOTJsVL6SAZjjA6aWKMtHYUFD+56ztzuO6HGDTne2rpb0mDrxcTamHb1xDWQTKnLW525qb1X/QlHk+piuuXco/STC4+VJE2pr1J7T1zJlJPRalFfFVE0bIIAA6PrjSdVG4uoJhrOa8bDxvZevbxu5x7H/ZJ2P3jIvdXCDx5otYBra2efzrnjRe0oQftNsE6T/zcAKBDBAwAAeUrZPbdQTJ9Yo815BA+vvNemdTvc9YjJrPWcI/FDDse6AYL/wnRSXVS7euMZpfhrvfP7sxt80ya4j9/c0aeu/qQm11UF557kBRjIjd9qUR0NB+8K5+Kev7boivuXyXFs5vm8c/hVK/5wyeYG93s0XEVDEDzspuIBrre27tabmzr19rauos7jOFbxpOOujE2k8vo5BwAfwQMAAHmyds+gIN+Kh289+oYuW7RU/YlUXus0/a8lufMdfJNqY+roTQTviB/QWBW8GPVbKHzTvDkRq7e4VRN+Gb/kzhJgxkPuehMp1QbBQ+7DJXf3J9QbT+0RVg3OeHDfWfaDpdpYRFPqY/qgbegBpn3ecMmd3QNKZYUZ2D/5//37bVWFGvCqHaY2uuHXbuY8ACgAwQMAAHlKOXtuoZg+sVptPfGcy+07ehP6oL1X//vP69zhkjlWPPhfS5JmTMwMHtp748FGiyMOaAhu82c4+A6a4D5u9ZZOSdKUtNsn1caY8ZCH3qDiIaR4ysn5RX/PgPtzsnZH5rvRvVk/PzWxwX+qHTK5Vh+0Dx08+I9z7PBzILB/KVXw4FfhTJvg/n+HAZMACkHwAABAnhyrPVstvOqDLZ2jVz2kHKvugaRi4ZB+9pf39EF7b8awytFMm7BnxcO0idXq6E2opdVtrzgyLXiYlBU8+BUPKzd7FQ/pwUNdlIqHHKW8EvTaaCRoici1DN1ff7l2e3fG8ezgqjoSDj4+tKlu+OAh7evSbgFp8Gexu7+44ME/zwGNXvDAnAcABSB4AAAgT45jlZ0T+FUEuWy28F8I/MNJhyrpWK3Zujuv4CFotUireJg3faIk6fl3WiVJRx6YVvGQNeOhsTqq+qqIVm92Kx6a6jMrHnhhkRs/PPBbLaTcgwd/nak/h8OX/fiq6GDwcPDkWm3p7FM8uWdLR188Jb9oppXNFtBgxUNPkRUP/dkVD1REFaSjN65j/v1Peq2lrehzbdjZo8sWLdWSNdtlLa1VqAwEDwAA5Cll7R5BQVDxkMOch9397gv7Dx/YoFNmT5GkvIKHQybXZvwuSUfPmCBJeqWlTdGw0Yea6yS52zcaa6J7nGPahOqgLcMfLul+7LZaZA89xJ78EvTqWDioeOjLNXiI+60WWRUPiZQiaT8LNWnBw6GTa2WttGnXnlUPvfGkpnnvSBM8lL+UY/XMGL9oLFWrhT+7hIqH4mxs71NnX0LrWrtHv/MoXmlp03Nv79AV9y/Tj5esLcHVAWOP4AEAgDw51t0Ake6AxmqFjHLabOGvu2ysiej842ZI0h4zI0Zy/MxJuvuS4/SJI5qDYxNqopo1pU7xpKOmuipNqXfDhIm1sSFDjWletUTISBPTgolJtTE5djAcwfD8tojaaFhVUfefVLkOmOz1Xgyu294VvPi01qovkQq+d5JUHU2b8dDkBk1DtVv0xlPB7azULH9/fbdVX7t/md7c1DlmXyNotSg2eEi65zkwmPFAxUMh/D+3fNbuDsevYvnQlLqSVFAAewPBAwAAeXIcq3DWa/loOKQDG6u1KYdWiy7vRX1DdVRnzj1Q9VWRvCoejDE6c+6Bezxmnlf10FQfU5P34nVS7Z7VDpJ0kPciYlJtLGNehT/vgTkPo/PfUa5Nq3jIudUinlJVJKSeeEpbO92gYCDpyNrB1ZmSVBPLrHiQhg8eJtfF1FgdGXblJspHq7cudfvusQuJ/Fag4ise3J/pproqRUKGiocC+X9u/mDZYvjf01lT6tTJsE9UCIIHAADy5AzRaiFJcw6aoL+tbx+1fNqveGiojqgmFta/ffbDQeVDMebNcOc8TK6Lqc7btDApa76Dzx9Qmb3xwl+9yWaL0fnBQ00BMx5640kdPd0Nivx2C/+x6cFD+nDJ5oYqVUdDQ67U7IunVBONaGpj9X49XPJXr76vM27/y3hfxqg6vRehO7vH7r+zoNWiRMMla2JhTW2oymttMAb520B6E8V9PyS34qE6GtKkuhjBAyoGwQMAAHlKOXaPVgtJ+tRHpmpzR5/e2d41xKMG7U6reJCki088VBedcEjR13WMV/Ewpb5Kxhg1N1TtESz4/M0W6YMlpcEgYlcP/5gdTdBqEYsElQm5zHgYSKaUSFkdc7AbFK31fl78x04dpuLBGKNDJtfq/SErHpKq9V4Y7s+tFu9s2621O7pzDoDGi/9isa177EKikrVaeO1D1dGQ5hzUqNVbdhd9bfujDq+KrLckFQ8p1VdFNKEmSvCAikHwAABAnqyVwkMFDx+eKkl69q0dIz4+veKhlOYeNEHRsAleuH7/vKP1T586fMj7+ls4mtIGS0oKKiTaqXgYVcZWi4hf8TD6jAf/hcf0iTWqjoa0zWu18IOM9IqHqkjmP9UOmVyrjcO0WtTGwppSXzWm76KXu9197vek3F+M+f3+O8cweCjdcElviGokrLkHTdB7rd3Bzz5yF1Q8lGjGQ50XPPTGU0qkcpstA4wnggcAAPKUslahIf4GndpYrXkzJmjJW9tHfPzgjIfSBg81sbB+dfmJuvzUWZKk/+OIZh3llfNn8ysesisiBise3BdGm3b16o2NHSW9zn1FX1oJek0slHFsJD3ei7b6qogXFAxkPNYPHqoioT0qaw6ZXKf323qVSts6knKsBpKOamJhNdXHRpzP8fMXWvSn1dtyfYoVx/9vq9xbhTq9gGTnGM5SKd06Tb/iIayjpk+QY6W3to5c1YU9+TMeShHa9AwkVRdzgwep/IM2QCJ4AAAgbynHDruF4lMfPkArNnaM+E5mV39SVZGQqtL690vlpA81aWpD9aj3O2hCjaJhE0yq99XGwopFQkHFw3/96V1dcu9rSpbZO2pPvrkl6JMfL+nDJasiuc948B9XFwQP8YzH+hUr6W0WvgUzJ6kvkdKraZPs/cCiNhZWU11M3QPJYa/j7r+2aPHSjTk9v0q026smKvdWoQ7vv6+xbLXoK3XFQzSko6Y3SpJWbxm7bRz7qk6vyqWnBBUP3QPJoNXCPXd5/7wDEsEDAAB5s8MMl5Skjx3WJGullZuH/4f57v5EMN9hvNTEwnr46yfrkpMPzThujNGk2mhQ8bClo0+7+5N6c4Tns7dt2tWra37zdz209INxvQ7/hV1NNByEBLkED/470LVV4cyKh7gb7kyqjSlkMgdL+k4/cqrqYmE98caW4Jj/DmpNLBJsMxmq6sFxrNp74to2hpsUxptf8dBR5hUPu/vGfrhkX4nXaVZHwzqwsVpNdTGtHMM1oPuqXV5Q2leKiod4UvXVEU2oJXhA5SB4AAAgTyk7fMXDQRPd2QnbO4d/cbe7P6nGErdZFOLYQyapcYgAZFJtLPhHsr+a8YV3d+7VaxvJe6093u/dJTvns29t1zNrRm6RyZbeapHPVgt/nV5dLKLmhtgerRa1sYjqqyJDVjzUxMI6Y84B+sOqbYon3aAiGHIZDY+4DrWzL6GUY8d0heN482c87CrzlY8de2G4pP9z0Z9wiqpY6vfO47f+zJ0+QavKaMDkqy1tOuEHS8r+xbcfhpVinWbPQCqY8SARPKAyEDwAAJAnx9GwwcPUhioZoxHfVe7qT5Z8vkMpNTdUBYHDDu95vLC2dTwvKcN6L3Bo8QKIUrjjz+t0x3Nr83pMbzypcMgoFg6p2hsC6VctjKQnbSjllPoqtffElXJsWpARUkN1dI/Bkr5z5h+kzr5E8D1Jb/lo8oKHoVp92noGvNviQWixrwkqHvrKu+LBf6G4qzcxZm1M6bMEinmx2590VB0dnDdy1EGNWru9q2w2h6zc1KkdXQNDrpktJ/73PJc5MKNxWy3CQfCwm+ABFYDgAQCAPDnWaphOC0XDIU2prwo2FQylqz+hxprxbbUYyUETarR5V596BpLqibtr2/6+sSN4UTfeWna6gcP6naULHnb1xIN3oXPVG0+pNhqWMUaRcEjRsAnK0kd+nPuC0J/x4Fi3QsF/Z7kmFlFDdSSoosj28cOaVRsL64W1O4PrcB8XHrHVIr2sv3UM32kfL8mUE/TPd5RxxYPjWHX2JTTJK5MfaRhoMfoSKU30vkbXQG5/Hjc/vlo3/W5VxrH+RCrjZ3HOQY1KOlbrdpSu4qgYfsg2lhtCimWtDX4mix326Z+D4ZKoNDkFD8aYs4wx7xhj1hljbhzi9ipjzGLv9teMMTO942cYY5YbY1Z6v38y7THPe+dc4f2aWqonBQDAWEo5w894kKRpE6q1NS14WLmpUw+89n7weblXPEyfVKOd3QPauMt9B/H/PHqaUo7Vr1/9QE7aNoVcbe7o051/Xidr83/sUPzAoa0nXrIBk+098bxfrPbFUxntENXRcFDePpLBVgu34kFyXzQFFQ/RsA6cUJ2xVjNdLBLSgROqtaPL/RkbXOsZGbHVIv3YSMFYpUqfZbAr7blu2NkT/FmVg66BpKyVZjfXSxqbOQ+OY9WfcNTs/XzlWvHwwtpWvfxeW8ax/kQqY97IYVPd624pYfBXDD9Ea+0q3+CheyCppGNljHL6f8RIHMeqN57ZalHOQRvgGzV4MMaEJd0p6TOS5ki6yBgzJ+tul0vaZa09TNKPJd3qHd8p6XPW2qMlfVnSr7Ied7G1dr73a+Sl5wAAlAlnhBkPknRAY3VGH/1tT7+tm363Oti1vrsvoYaq8q14mO7NqVjxgbtG86yjD9Rxh07SrX98Wxfe82re4cP9r2zQfz79TslmMrS09gTv5L63s/hzJlKOdvcntbs/kbGmcjS98ZRq04KHmmhYA3lXPAy2RqQHD7dfMF+3fXHesOdorq8KXmilt1o0VkcUDZshX8ymzxPYF+c8+PMdpMwZD5f9cqn+r/9ZOR6XNCQ/LPODB78FppT8n6WpjW7w0J1DxYO1Vls6+veYT9OfcFstfDOb6mSM9F6ZVDy0eT/r5VzF4wcDUxuq1BNPFhXCpq/jjYZDqo2FqXhARcil4uEESeustS3W2rikhySdm3WfcyX90vv4UUmfMsYYa+3frbX+2OXVkmqMMUPH9wAAVAjHSqEcKx529cT18nttSjlWG9vdCoJKqHiQpL97wcOMiTV65Osn67pPHa6/bWjXiePzzQAAIABJREFUO9u78jrfay3tkqS3tub3uKH0J1La0tmn0490CyXXl2DOg/+iwFrl1U7SG0+pJjb4fcy14qF7YDBgmNKQVvGQNsRvcl1Mk7zqhaFMaRhcw9mXFjwYYzS5Lqb2IV7MpocR+2LFw+60750/yK8/kdL6nT165b22IPjbm6y1e4RR/ovE2VPrJI1Ni4AfPPgVD905VDx09iXUl0ipayCZ0Q7Ql9VqUR0N6+BJtSUd7lqMSmi18L/n0ybUyLHSQBEzVvzKnroq9/89E2qiez14WLW5s2xmfKBy5BI8TJeUvvB5k3dsyPtYa5OSOiU1Zd3ni5Jet9am/1/hPq/N4n8ZM/RbR8aYK40xy4wxy1pby2ewFQBg/+VYq/DwuYMOaKx2/xEfT+mZt7YH76Kv39mjRMpRXyI17us0R+JXPLz+wS5J0tSGaoVCRhccf7Ak6ZWsUuyhdA8ktWFnj3oGklrlreJ8Z9vIwcOSNdtHnfK/oa1H1kqfOGKKIiGjlhJUPOxKW72YzzaE/kRKNWnvBNdEw+pPjP6ConcgqdpYWKGQGWy16Ip7vfShEUMtX3N9lXbuUfHgvhCZXOcOrOxPpDIqG9p6BjSpNqpYOKTtZdR6UCp+8DC5LhZ8T99r7Za1Uk88pTfHYQXkXX9p0en/+XzGizR/8GVQ8TAGrRZ+GOW363T3jz5XYEvH4M9E+nDc7BkPkjS7ua7o4a6dvYmStF8FFQ9j1GrRF08VPQDUDzf9/7f2FtFu0RMED+73ZG8HD529CZ1750t6eNnG0e8MpNkrwyWNMXPltl98Pe3wxV4Lxqner0uGeqy19h5r7QJr7YLm5uaxv1gAAEaRckZutZg2oVqS+4/3P6zcGpTTt7T2BC8AGmvKt+LhwAnVChlpXWu3YpFQcK3TJ9bo0KbaPXrAh/LT59bqrP/nr/rjqm1KOu4wzre3Db+Cr6M3rivuX6YHXvtgxPP6L3aOOKBBh0yuLerFz/L32/V+W0/G7IOO3txfBPbGk8GLfUmqjobUn0xpc0ffiO8G9sRTweMaqyOKhUNBq0XNMAMlszU3VKlrIKn+RCpo3fDnTTTVxbSzO66fLFmrM3/y12CDRVt3XFPqqzS1sWrEda+5WrJmuzZ39AWfW2uDLSjjocv7b+vgybXBC7H30n4+Xnlv76+EfXd7l7Z09mesavWvbcakWsXCoTFpEejNCh42d/TqjNv/ou89uSZjFka6rZ2D38v0n4+BrFYLyQ1NWnZ2FzTzRZK2dPRpwQ+e0V/eLe5NRWtt2raWsQkezrnjRd3+zLtFncMPwvxqsmIGTPrVK/VexUNjkcFDfyKV14DT7V39SjlWG3aW9xaRbP/3H97S9Q+vGO/L2K/lEjxslnRw2uczvGND3scYE5E0QVKb9/kMSY9JutRa+57/AGvtZu/3Lkm/kdvSAQBA2bOjtFoc2OgGD+9u79KL63bqCx+doUm1UbXs7AleHJVzxUM0HNKBjdWy1l8POvhcPza7Sa+1tI36DuDa7d3qTzj67uOrFQ4ZnX7k1BFbLfxBdVtHeUHsD5acNaVOH2quK2qzxT89uEI/+tO7GYMI89ls0TvEcMmO3oTO+vFfdddf3hvhccng3UpjjKbUx9TaPeCeL8fgwQ+zWrsGMlotJKmpPqb2nrhebWlTR29Cy953W13auuOaXBfTgY3V2ra7Xz9/oWXE6xzJio0duuL+Zfrkj54P1pD++tX3dcqtz41bybu/UvCQybXq8N5NX7ejWyHjvkP/SsvogVmp+UMt098d9t/9nlgbVVN9TG3d8YJfwA8nmPHQ4P6/6C/vtmrtjm7d++J6Lbz7lSEfsyUtRMqoeEgOUfEwtV79CUdb0sKKfKzesluJlNXqLcOHkbno7EsokXL/7MZiSGd/IqW1O7q17P1dRZ2nI2i1cL8fxazU7Bmi1aKYdZq3P/OuzrvzpZzv7//3vbXA7/3esHRDu86548WMgGfp+v+fvbMOrKu83/jnXLckN+4ubVNJ3Y22eIsWHQwdQ7YxxuzHBoONCTA2ZLCxQWHDnQKlBWrUvWmbpGmjjbvcJDfXz++Pc89J0niFFsjzV3stV849932f7yNNfHVkRD1/JjEU4mE3kC4IQrIgCDrgWuDj427zMVJ4JMByYL0oiqIgCFZgFfBrURSVI1oQBI0gCGH+f2uBpUAOIxjBCEYwghF8A+D19V+nCZJiAKSNmNsrcuG4KFLCLZQ0tCty8LM54wG6JnORfhJFxqzUMNqcnkE3DKWNEiHQ7vQwLiaQyYnBVLZ09vDh97i9n0AYbGJeXN9BVKABk05DcphEPJzIpk0URRranZQ12WnqpnIYTktGp7tnuKRBq+ZQZSttTk+PSfvx6HB6eygl5LyGTrcXg27oigeQNgF2txetWkCrlpZ1IWYd9W1O8vyfkTxVbuhwEmbRExlooLTBzt++PMr/tpUO+fV2x9u7yzBq1SzICOevXxxlR3EjL24pwe0VOdZ4ZtoOZFIvMcSExydKn0NdO/EhJhaOimBPafPX7kuX5f9bChuo8LfEyNPpIKNEPHx2qJq033zGjlNIjMgqGNnKs6e0GZUAP1mcTm6Vrc9NY1WrQ2nr6U4AHt9qAZASJuVTFNV3nJBdotifDyHn3pwoZLLBatKeFquFrOg5Wts27NfZ1OFSNr6t/nNMdNCpUDx0hUvCyVst8mvaKGuyD7ltQ7a2VJ3FOTGrD9VwsKKVAxUtymVNHS4aO1xnTS30dxGDEg/+zIYfAZ8Dh4F3RFHMFQTh94IgXOK/2UtAqCAIhcDPALly80dAGvDQcbWZeuBzQRAOAtlIion/nMoXNoIRjGAEIxjB6YJXHLhOUyYeNhc0EB1kICvOqmySvzHEg9+LHHFcpeOsFCnCaUth/7J1r0+koqmTZVkx6DQq5qSFMSY6AOg/56G0UdqADJY9UN5sJyHEBEBiqBmnx0fdCWw4Ot1enB4flc2dPRUPw7Ja9G61kPM8uk+Pj0eH04NF33W/MH9eg2NYigfpc5EVD93vF2rW0en24vL60KlVbDoqfVaN7S5CLToi/YoHu8tLVatj2JsWu8vDJwequWh8NE9fO4nwAD0/emM/x/yfYUXzmZmEyt+t+BDp2G3pcFNU305auIWZKaE4PT5yq77enIf6NifnjJKswu/trQAk4kGvUWHQqpmRHKqQe0OxMA0V8ibSYtBg0KpwenykRwSwaLQUyio31nS6vDzw4SE+OVBFdUsnMVYDAQZNj2yQ41stQFI8ALy4uZgZf1rH4erhKRfkYEq5svdEIU/fR0cF0NrpHlKrzHAgH8stdvewLDHlTXYWP7mR7724E59PpMXuxqRTK208J1Op2Zfi4WSIB5kQqxzgnNUdcg5P9RBvfyaQXS4pVHIru45LmTCRz1Mj+PoxpIwHURQ/E0UxQxTFVFEU/+i/7CFRFD/2/9shiuJVoiimiaI4XRTFYv/lj4qiaO5WmTlRFMU6URQ7RFGcIoriBFEUx4qieK8oiiPRqCMYwQhGMIJvBERRpJ9MZEAK+Qv0EwsXjItCpRJIDjNTa3MqC/rAs9hqAV2Kh+OJh/AAPZMTrLyzp1wiGJrtvSaN1a2duLw+ZqeG8uV98/nxonRGRQUC0uT1aB+tGLLiodY28OK+srmTOP9zkwmIshOYmsohkg3tTipbHMrGfThWC2nD3zPjQcZAi/LjsyHCLLoTyniQnr+r1+OFWro+s2unx3O42kZlSyetnW5CzXqigqTrNX7yrK/PA6SGj76aIFYdrKbd6eHa6fEYdWp+vCiNhnanYv/oHlLYHdWtnad0qt/7+Xqw6DWEmv3vTYeT4oYO0iIsjIqUiK+iuq9PjeHy+Gi2u5mUEMyc1DDe3VOBzyfSancrG9AHl2ay4ecLSQ4z97l5f2NnGT9/9wCPfJKrZHUMBbKU36RTY/FX906IC2JMdAA6tYr95S20OdzctGIXb+ws47kNhVS1OogOMkpWnG7T7ONbLUAit4KMWjYXNFDX5mTVwephvTeyIkj+7uZWtfYgAIeKLuJBOr+c6qDOim7ESEFt/0G27U4PhXXS96jT5eWHr+6l3ekhu7yFd/eW02x3YzVqMfu/px2nMFzSatRid3lPqLXF5xMVcqViiCRQY0dXfelwjsmvC26vjxy/2uuQP9jY4W9rgRHi4UziawmXHMEIRjCC7yJORVr32QavTzzlXuRvIrw+EfUAxAN0qR4uGh8NdEmTD5RLC6GzX/EgbeojjrNaANw2N4VjjXZe2VbK0me38Mv3DvS4Xl7YJYaaSAw1Y9SpiQmSJqmPrcnnvL9vYu9xnmnZmtHQ7ux3Ae3x+qixORRS5KSIh26bnNyqVsICdAQaNIr/fjCIoujf8HdTPPj/bdapqW1z9puD0eHyKpsGkNQLjR0uOo7LjBgI8ua6vs3ZS3kR4q/hjAjQc42/ieSj/VI8l6x4APj+rCRAklr3eo5OD0v+9hWPfJLb67ov82qJDzEyNTEYgGunJTAlMZh7F6djNWmpbOn78/j7l0e55eXdp+wcUtnSyQVPbVKsHbZONwEGDcFmaaOdU9mKy+MjNdxCbLARrVpQskS+Dsihh+EBeq6eFk9lSydbixpo6XQRZOxJPGbGBCnWGBmiKPKHT/P4+EAVL28t5WA32fhgkMMljVq1cq6ZEBeEXqMmMyaQ7LIWnl1fyJ5jTcxLDyO/po3D1TZiggxEBRmotTmwuzzUtzn7bLUQBIEZySHMTAlhfGwQmwqG552XrRZVLQ4a251c+o+tnPPkRkUVMlTIRMPoKIlYOtX5IuVNncin+v4IOoBn1xWw7NmtONxe3t9XQV61jX9+bwrTkoJ55JM8Pj1YRViAXvl+y1aYE8Hx4ZJBfhLrRFQPDd3Ig6EqHmR7iyjSQxlztiC/ug2XR1LpyI1K3cMzS8+QFWwEI8TDCEYwghEoGI73dzBSwenxMvexDbyyteRkn9ZZhR++updfvX/wTD+NMw6fyIBWC5CsChEBeqYkSJuz5HCJePj4QBVqlYDVpDvtz/NkEGOVNqfHKx4Azh8bSVywkT98mucPL2zusZmUF3ZJoWblMkEQeHjZWH68KA2tWuCLvBrlOlEUKWnowKBVIYr9bx6qW6U0dVnxEGM1IggnqnjoWojmV7cRYtZjNemGbLVweX34RHoQBXq/D37phBi8PrFfC4hUp9lFPI2NCcLrEzlY0dJrg9cfdBoVVpNWyng4jrCQlQdZ8VYyowNJCDHx0pYS5bq5aWFcNz2Be5ekE2DQcKSPtpFXtpVSa3Py0f6qXrLwvGobWXFWRfWj06h4/67Z3DgriVirsV/Fw6FKG51u7wkHEh6Pz3NqyK9pY1OBZCVpc3gINGgJMkqvf3epRG6lRlhQqwQSQ82UnIL61f7g9YmsOlitEE51fvVOuEXPeZmRBBm1vL27nNZON1Zjz+//mOgARZUio7FDyv24cWYiAIV1Q3/u8mdm1KkVkmtCnBWASQlWDla28OauMi4aH81vLh4DSO9fjNWohI/++v1DnPv3r7C7ehMPAC/cOIU3fzCTczMjOVTZOmgVroymDhfNdjfpERa8PpE1uVLzjdWo5efvHmB/2dCDHBvanagESI88PcRDRbOd+GATwSbtgMTDzpImOt1e8qpt7CtrJsyiZ/GYCB69bDxJoWaumRbPE8uzlM/iZOs0VQKKOkomsQYjTataOpWwUxnl3WxRlUO0SHV/j/uylNldHp7bUPi156nIyPYTdJdmxfoDnd09lDBnKoOmPxTXn3g7zDcNI8TDCEYwghEAK7MrGf/w50OSGm4paGDCw18MyPRvOtpAZUsnmwtOvL7tZDygpws5la0crPh6PdJnA2paHSx4YoMihfb5RAYRPPDbpZmsuHma0n6RFGpGp1bh8fp4YvmEXhPPsw1ZcVamJAYzLSmk13UatYofLkhFEOCi8VG0OTyKZxugrNGOTqNS2j1kXDkljvvPG8W0pBA25Ncplzd1uGhzeJjin6D3Z7eQJ3KyGkOnURETZDyhgLruEzCX10eISYvVpB2y1aKz20RZRmq4mcRQE+ePiwT6T33vcHkxdyMKLhofxaLREYgiQ7ZagD8bot3ZS3khqyEmxkvkwF0LU5XXG2rRE2rR8+crxhNk1DIqMqBX7kZrp5sXvioiPsRIu9PDl4e7qiBtDjcVzZ2MiQ7s8znFWI19bmCcHi8F/o3byTSRdIeciZDnz22wOfyKB/8EeNXBKgIMGkb5p+FyzkpfqLU5eLdb88SJYGthA/e8sY83dkmVsLIFKTxAj0Gr5vJJsazOqWF/WQuBxyse/O9nd7uFfFzPSA7BoFVRMBzioYfVQoNWLTDan7MyMd6Kw+2jzeHh1rnJjIoMUNoWoq1GooIM1Lc5WZ1TTYvdjdcn9sp4AIlMFASBBRnhiOLAuS/dIZ8rFvqzLz7OrkIQ4J0fziLErOPJL/qvrvT6RB78KEc5ZhvanYSYdQpBeqoDJiuaO4kPMZIeGcDRfqwWDrdXyQ45WN7CgfIWJsYHIQgCo6IC+Ozeefz+0nGMigrA5LdmnWy4pFmnUYg/+VgaTPFwy8u7mf/4Bp5ZV6BsdOU1j1olDCvjQT6399VC9M7ucp74/Ajru53jv04cKG8hzKLjgnFRAORV2Wjwq4/0GpWSJ3Q24FhjB4v/9lWPc+y3GSPEwwhGMILvPJo7XDzySR5ur9hv8F137C9rps3pGbB//OMDVQAcrDyxTfpXR+vJeuSLYQd2nU54vD7q2hxUtnR+62wkoijy0paSfich+8qaOdZo59OD0ufqEwe3WqSGWxgXG6T836BV88Hds1l3/0KumBx36p78aUKwWcf7d80mKczc5/U3zEhg1wNLuP+8UQDsL+uSgZc2dpAQYuq3cnTR6AiO1rYri155ITgjWQqu7I/Uk73IsuIBpCDBE1E8HD8dDPZ71odqtbAfV2EJcOOsJDb+fCFxwRIxUtnH5F8URTqcHkz6LsWDIAg8vnwCkYF6ZQM4FIRb9F3hkt0UFImhJh5amsl10xMAuHJyHDH+x5VtGDJGRUnEQ/fv9Nu7y7A5PPzze1OICTLwwb4u+Xu+vxI1sx/iQVI8dG1gXt1eyt+/PMrRmnY8/s1OcbfGj7d2lQ0r96Gwrp3frcyhtdPNzmKZeJDOk20OD4FGrULqadUqXvz+VEWSnhJmprTRrgSAdsebu8r4xXsHBwwFHQwyMfDi5hI8Xp8SRijncdy3JIPvz0okIcTE7NTQHvfti3iQj/eEUBOp4RZF8TCUzbV8fBo0apJCzUxPDlEUOZPiJYJvUoKVyQnBCIKgkAAxQQYiAw34RHB7Ra6fIR1DAxFi42KDCDZpeeLzI0z+w5c8t6FwwN+IYoV4kIIud5U2kRERQESggbsXprKlsIHt/QRtljS08+qOY8ox2dDuIsyi75F5cipR0dxJnNVERqSl32aLnMpWpdJza1EjxQ0dirrkeMjKpJMNlzR3O3/I54zSAQg9t9dHYX07Fr2Wv315VCEF5GNsXEzgkBUPjR0u5betL/XSu367jPy9LKht6/M7d7qQXd5CVpxVeY6SGkc6LrLirGeV4kE69546MvZsxwjxMIIRjOA7j8fW5Cvy6qFMTuUU7m39THfsLg9r82qx6DXUtzlPyAP5eW4NLq+P5zcWAZwVMry6Nic+UZq2nEyC9tmIwrp2/vBpHv/bfqzP64v8C36ZbPKKYr+b6oEwLjZIWSB/0yEIAuEBepJDzQQZtezrJo8+1mgnKdTU733P8Sfry6oHecE8I1lSV/T3nZEXxtHWrs15QojphIgHWQEgL9pDTDqCTbohH9v2blL27hAEQXnMvgImXV4fHp+obIZlhFn0rL9/Ib+8YPSQX0NYgJ6i+nZyq2yk+1sG5Odw69xkhWTQaVTcf94oQs26XsTG6KgAbA4PNd3e821FjaRFSMTZ5ZNj2XS0XpFoyxvj/hQPsVYjbf5zhCiK/GNDIc9vLGRbUYP/uXUtstscbh5cmcOLm4sHfJ05la08/HEutTYH97y+j/9uP8aP39xPm9NDrNVIfk0bHq8Pm8NNoEGDRq3iviUZrLh5GjNSujb4KeFmXB5fn+RCeZN02fE5C8OBvKEua7KzJrdGIQhC/daXIJOW3y0by5c/W8Ctc5N73Dc8QE+YRdfj78u/NfHBJtIjJOLhQHkL0/+0ViFd+kOny4NRq0alEnj0snGsuHmacl18iJGbZyfxm4vGKJddPD4GjUogIzJAmWZnxQXx6KXjeOSSsSzLiun3b6lVAheOj6bF7iYhxMQTnx/h95/m9dqkOz1e3t9bweaCBnQaFVOTglGrBERRUmEA3DAzkYgAPS9sKurzb8nki1znK4WaSoqSAP9v7qnA9qJG6tucNLQ7iQs2MioygDaHp09VgHzumxhvZX1+HaIo5Wn0BZ1GhVYtnFy4pMuDpVtGUEZEAMEmLduLG3F7ffxldT7Z5T3zQKpaOvH6RH52bgaBBg1rciWrW0WznVCzjvTIgCG30TS2u0gIMRFk1FJ9HLmaV2VTPpvcqlZKGjo476lNvHOSaqKhor7NSWFdO5MTgwkP0BMVaCC3yqbYgCYnBlNrc55UxsaphGxLPJsbQk4lRoiHEYxgBN95rM6p4fJJcRi16h5+x/4gL1C3FDb2Of1Yd7iOTreXOxekAHBoCNaEjUfqeHXHMb7wLwa2FjagEiSp8J8/O8zY332uhCSdKXSXVJ6purzTBXn6c6if91gOpMuptNHQ7sTnA9VgXovvCFQqgUkJVkXxIIoipY0dJIb2rZQAafKcGGrilW2lbC1s4Kuj9agEKZNArRKotTn4x/oCNhzpKdWtaLYTGahXJrcgEQ/y1H84aLFLAX9yQGWwWSdZLfrIeHB5fFz77+28tqOLmJKl0t2zGmQEGLQEGDR9+5+dvZUSMsx6zaDZId0RZtHRbHfjE0Vunp004G2vnBLH7t8s6fV85bYRecPr9YnsLW1mup8EunxSHD5RksODRDwEm7REBvZNoMX4a1irWjrJrbJRa3Pi9oq8sKkYi17D2JhARWq/6WgDbq846LTvhU3FvLKtlPmPb+BIbRuZ0YFs8pOAt8xJwunxUdzQ4Q+XlNQO9y5JZ05aWI/HSQ6TyJm+AiblQMy8aht5VTYufmbzkDMLZBTXd5AVF0RKmJkVW0qob3NiNWl7HK/9QRAExkQHknec4iHErMOs15AWYaGypZP39lYgirB3kByETndX7odGrerxHARB4OFLxjK1m41qbnoY2b87j/gQE4l+0vDa6QmoVAI3zU5SPtf+8MfLxpH90Ll8cNdsbpmTxMtbS3l/X2WP2zy+5gj3v3uATw9WkxpuQa9RK0TYxASJeDBo1Vw9NZ5NR+t7NGvI6CIeWhFFUamIBYm8OT7D4ETQ1OHi+hd3cNt/dwMQF2JkVqp0LK3Jqel1+33HWkgIMbFodIQy2c/qR/EA0jmj8yTDJbsrHlQqgVmpoWwvamTd4Tr+9VUR1/17R4/zp6wqS4uwsGRMJGsP1+Lx+iRFR7CRWKuR2jbHoC0VDreXdqeHUItEYh5vJ3tvbwVatcA5o8LJq7axuaAeUZTWOF8HthRK54X56ZKCZ3S0pOhq7HCh16jIjJHOdydCVp8OlDRIz6Mvy8qpRHmT/awYYI0QDyMYwQi+02hzuGntdJMeaSEueGhe8fJmO3qNioZ2Z5+ez08OVBEZqOem2UmohP43szIqmu3c/PJuHvwohzte3cvqQ9Uca7TzwwWpaNQqXthUTKfb26sF4OtG9wXGUGu3vimQF2h5VbY+f5yL69uVwL4tBQ2S1WLkF1TBpPhgjta10WJ38drOMhxuH8n9WDRA2vg8tDST1k4P33txJx8fqGJ+RjgGrZqIAD37y1r46xdHefjj3B4SXWmR3FNJEe8nDsqHeUw22d0Em7TK44WYdViNWlo73b2Ogf9uK2VHcROf+4nBhnYnD3x4CK1aIDW879cZazVS1epgW2ED+d3CGzv8Gw5zH4TFcCGrZy4cH628DwOhL5XO+NggjFq18h04XG2jzelR1CdpERay4q3KJvJwtY0x0YH91snKjSOVzZ2sz69DECAq0EBTh4vM6EBSwy0K0bDO72sub+rsV4rt9YlsLqhnelIIEYF6bpubzH9umopeo2J0VADzM6QNRm5Vq99q0f/7Kh+TJfVdlgWZ0JXJ1LwqGyuzK8mtsrF9mNWfxQ3tpEZYuGxSLPvLW8ivsRFuGbrCaUJcEEdq2mj3k1rlTXbFVpQWIeUzvLtXmhwfrh7YFmh3Db2aVYaswkmPDGDlPXO4Zmr8kO8rCAIatQqVSuC3F2cyPTmE363MUdRMu0ubWLG1hKunxvHP703myauyAEnNAZLtQ8byKRLZ9f6+3g0XMvHQbHdTVN9BTatDaRAaFRXAgfLWk7YCSqQGSp5RXLBJ+R68t7cCu8ujEEuiKLKvrJkpicGKyiEhxESwuf/wYLNOfdJ1mhZ9z892VmoYlS2dPL2ugDCLnpRwM3e/tk8hz8r8k/XEUBPnjY2ixe5mV0mTdE4NMREbbEQU6ZPs6Q65SjPMoiPGauRIbRvX/ns7v/nwEG/uKuO/20u5cFw0c9LCqLU5WeknLLcVNfbb8nMqseloA6FmHWP9BENGZACF9e3U2RyEWfSKEm8gW8rXCfl51JzGdpDq1k7O+etGVh0aXuXt6cDIsmkEfeK1Hcf4+bsHBr/hCEZwAsgub+GfG4t4au3RM94B3RVWZyQ+xDToJN/j9VHd6uBif0Xi1uPsFjaHm41H6rl4fAwBBi2p4ZZBlQqrD0mbmffunEWQUcsv35NaIy6fFMujl47joaWZmHXqM+4BrPkWKB7cXh8rsyt7bCxtDjd7SpuJCTLQ7vRQcpz/UxRFius7OH9sFCFmHZuO1ktWixHFg4JpScGIIkz741oe/CiHhaPCuXxS7ID2EkKaAAAgAElEQVT3WTwmkq9+sZC/X5PF6nvn8bJfCh4RaFBCA4812lmfX0dhXTtljXYqWzqJPW7yqlRqDjMwrMXuItisUzbKwSYdQSYdPhFe23mMP67KA6TN6TPrCgBJ8i+KIj99K5ui+nb+8/2ppIRb+nz86CADOZWt3PLKbn79/iHlcvl8EBcy8AR5KEgIMSEIcMe8lBN+DKNOzcJR4XyeW4vPJ7KrpAmgR6jolZNjOVxtI6eylSO1bf3aLKCrDaWqVSIeJsRZudpf6Tk2NpDkMDOVLZ10OD2sP1KHUavG5e3b/gDS70WL3c2NsxLZ9ItzeHBpJrFWI/+4fjK/WzaWlDAzeo2KPaXNeHyionjoC2EWHQF6jXIuffCjHK77zw5cHp8yccyrtimWquyyoddXtjs91NqcpIZbWDhKClvcXdpMRD/KkL4wKyUMj09kd6n0GVQ0dyob8zS/lcbh9qFWCYPm/3QeV7E6XGTFW0/ITgaS9eKpayaiVgnc+9Z+6mwO7ns7m1irkd8tG8uF46OVyXNKuJkAg4Z0P7ECkBRmZkZyCG/tLuP1ncd4eWsJH+6vwOWRcgrkDI/nNxTi8vpY5M+KmJ0aSmVL50lPs2X1j0w2y+TP8smx5Ne0cf1/dvL7T/NY+uxmvr9iF3VtTmanhiq5Dv3ZLGQYdeqTz3g4jriUM0MOV9u4YnIsT187kU63V7EPljbaMWhVRAToWZARjkGr4q3d5VT6FQ9x/vNqRbcq3G2FDYx9aE2PgYxMZISapTya8qZODlW08tbucv7vg0NMTQzmT1eMVz7fvcekho82h2fQIUx3ONxeLnx6M6uHsVn2+UnKuelhyrGbHmHB5fGxv7yFUIuOjMgAdBqV0nhzpiHnTZxOxUN+dRsen3hWZIaNEA8j6BMf7q/k/X0V3zof9wjODtzz+j4eW5PPU2sLFLnsmYLsGY8NNhIfbBx0airX+c1ICSEp1KT4lmV8kVuLy+tjWZZETIyPDRo0YPKznGrGxQYyNSmEW+Yk0eb0EB6gJz3CwtXT4rl1bjKJoeYz3j1d3erAqJUS0r+pxMOXebXc+1Y2W7t9blsKGvD4RO5cmArQiyiqb3fS5vSQFmFhdmoo24sbEcURq0V3zEoN5aWbpnLLnGR+e/EYXrppWg8pcH8w6zVcPimuxwQ90j/FnxAXRKzVyMMf53Lh05u4/PmtVLV09giWhG7EwzA3G812F8EmnfJ4oRZJ8QDw6KeH+c/mEnIqW3lq7VEcHi+3zEnyT1nb2VHcyC1zkpVwvL4QYzVS3erA6fGRXd6iKIa+yK0lyKhleh9tIcPFheOiWX//QrLi+5d1DwUXjIuivs3JvrJmdpc2ERds7CGtXzohBq1a4M7X9uJw+xgdFdDvY4WZ9ejUKjYeqedARQuLR0dw6UTp/tOSQkgOMyP6p9ktdjdXTZWCVvsjVjceqUMlwLz0sB4qi3MzI5mVGopGLSkfXt8pNUkMpDAQBIHkcDNHa9tptbtZn19Hm8PD7tImvD5RyQvJ94cM7y8fOvFQ4g/MTAkzMy4mSNm0DkfxMCUxGJ1axY6iRnw+UdkUgjSp1qql139JVgzF9e0D1hUeX7H6dSPGauQvV07gQEUr5z21ibo2J89eN6nXeeG+czN4646ZvSxG189IoLypk998mMMjn+Rx39sHeG9vBUV1HVwwNgpBgA+zKwmz6BTLyCz/5nt7USMOt5fWIQbFHo+8ahsxQQb+csUEloyJIDJAItOWZUnHcXZ5Cz+Yl4xeo2bvsWYeXpbJlZPjCDHruG9JxqC2J7NeoyifTgTtTk+vjJiUMLNif7pychxpEQEsGRPB/7aX0uny+nN3zAiCgFGn5orJcXx8oAqX10dcsKmHUknGO3vK6XB5+fRg1+ZfDmkMtehYPCaC6ckhrPzRXFbeM4f7z83glVumS5aq6C7y5ceL0oDeg5qBsLmggcPVtn5zl/pCXrWNhnaXYrMASfEAEokdatZh0KqZkRzC5oITW3vaXZ4Ba1WHA4fbS1WrQ1HQnq5BnGxtO3YW2Eu+tcRDfo2Nn72TjdNz9tXRne3w+kTyqmyIIsPqUh7BCIYCt9dHVWsnd8xPQasWlMnOmYI8ZYuzGokLNtHm8Ay4WJE3N/EhJqYkhrC/rKWHrPOTA1XEBRuVoKzxcUHUtzn7neZVtXSyv6yFC8dJRMUts5MJMGhYkBHeY5GdHGY+49LA6tZOoq0G4oKNZz3xsCanhj98mtfrcnnB0L2BYUthAwEGDVdPjUenUZFT2UpelU0JH5QT+FPCLUyMtyqTiRHioQuCILB4TCQPXDSG2+elDCun4HjIsunLJsZy8+wkKls6mZkSitMjhTLGHkc8hPjbKPKGOc1p7nBjNWlZkBHO0gnRZEYHYvXXMLq8PnQaFY+uyuPt3eVcNz2BpROkcL3/bjuGxycyKyV0oIdXNu4XT5C+22tyanB7faw9XMviMRFoToFXR60SBrS0DBWLRkegU6t4cXMJO4obe5EiIWYdt85NJtik4/JJsSweE9nvY6lUAnEhRtbn12HRa1iWFUNquIVtv17MheOiSPUrRB799DCBBg03+Tdp/RMP9UxOCMZq6l+6fvW0eBZkhPPUNRO5bBClzYKMcLYXN/LY5/m4/NLvL/Mky8d5mV2va1ZKKDmVrdS1SdP6/qpRZRQ3SIv7lHALKpWgbH6GEyZr1KmZmGBlW1EjdW1OaVPoJ9a0ahUpYRYyIi2clxmJT2TADVCne/hWi1ONi8ZHc+20eFrsbp5YPoFJCcG9bhNm0TM2prdC4JKsGL64bz47/m8x+x88l5RwM//eVESn28uE+CCSQyUC6/yxUcr5JjXcQniAni2FDdy0YhdZv/+Ci5/ZzJ5u6wxRFPvMgfD5RD7cL9ko8qpsZMYEsiQzkhdv6qpEtpp0/HRJBj8/L4MHLhrD5z+dz9ZfLeLmOcnKbe5dkt4jO6MvGLVqJZx2MORV2Xhq7VFe3V5Kh9ODy+OjucNFgKEn8SAIApdkxTAvPUypj71jfirNdjfv7avgmL9pSMYfLxvHq7dN54aZCZyfGUl0kBGzTs3K7Cp8PhGH28vaw5L96ou8rlyLBr/iIcyiZ9HoSN754SwliPbHi9MVsivIpFXUaRdPiGZsTCCbjkrEw57SJh7+OBeH20tzh4t/rC/gla09W6XkvKudJY1Dzu2Q68vnZXRlu6R1C90N9ZOA89LDOFrbPqitpC/8c2MRS5/ZckoGs8f8Kr2pfsXgqcgn6QtF/jXMcFWBpwMnbzA8S/HR/io+2FfJsqwYzhlgIjGC3iiub1f6n/eUNg840RnBCIaLmlYHoghp4Ray4qzsOsPEQ0VLJzq1ijCLnni/9Lm82U6QqW+ppCw5jA82MTHByvv7Kvw93yZa7W62FDZwx/wUhTSQ5cq7S5u4dGLvBfFqf1DVRX7rRpBJy2c/mder4z0pzMSaXGnjov2awwWeXlvAxARpwx0TZMSgVZ3VGQ87ixv5yZv7cXl93Do3uYc0X6676574nVdlY1xMEAatmjHRgazMruKlLSVcOD6a566f3EU8hJnRdXvvRzIeTg+SQqX3eemEaEIteibEBTEtKYQvD9dyz+v7etU4ylWA6/xhaUPd0DfbXYSYdEQGGvjH9ZMBlM3tOaPCSQ6zsGJrCQatih+dk4bFoEElSB57jUpgalLvTVR3LMgI52BFC3+5YjyFte2sPlRDeoTUIHH+2KgTeGdOHwIMWuamh7EmtwaLXqNYI7rj/y4c08c9+8ZT10ykzuZkdlqoEmYpb8CTwswIAgQaNbxyy3RSwsz9WslKGzo4VNnKL84fNeDf+96MRL43I3FIz+2O+Sm8uauMN3aWkRBiorKls4t4GBvFi1tKCLPouG5GAtuLG7nv7Wy2FjaSHGbmJ4vT+33covoOBAElmHHBqHA+2F857Bab2amhPL2ugNwqOV+g6/z12PIJaFSCMu0+XG3rt7ax0+VVVBdnEo9eNo7b56X02AAOBYIgKNNqgEuzYvn72qMApEcEkBkTSHFDh/LbKd9ndmooHx+oQhSlrIhdJU3ctGIX/7ttOlMSQ3hqbQH/3FjE2p8tIKFb885XR+u57+0D/GCejaL6di7s9rjdcc85acq/jTr1CalKzHrNkDeZf/wsj62FkvUsp9LG/IxwOlxeFo7uvTb/zcWZPf4/LSmY8bFBvLq9lLImu9ImBNJ7NS89nHnd1AEPXDyG33yYw6s7jhFjNdLu9DA9OYRdJU3U2hxEBhqUjIfQIRxbM1NCKW3sIMyi57zMKP6+9ig/fHUPXx2tx+H20ebwUN5sV+xd/9hQyOc/nU+QUcvaw7WMjw3iUGUra3Jq+P6spEH/3o7iRtIjLEQEdDX3mPUaZVgiP2fpNeezqaCeq4eQY/LchkJ2ljTxv1uns72oEZfXx+6SJpZk9k/ADgXyOW9mcihbCxupaXX0yjAaCnw+ke+v2MWyrGiumZbQ63pF8XAW1Ih+a5dNslRWZsxkONxefvvRoSEFyH1XIXuwrCbtGZ9Gj+DbBzlTIcZqZFpyCIcqWs9orVFlcycxVoM0pfOf8Ac6P5Q321GrpLq8SX5VgyzH3VfejNcnsiCj64d8THQgAQYNO4r7/i5tOlpPWoSlx9Qy3l9T1R1JoWa8fuktSN3P/9teOuzXO1zU2Rz8fe1R/vblUapbpBCvWKuxz0oxURS57+3sXufdE5kMlDXaGf/w54rqKru8ZUBZMUg/vu/sLucH/9ujTK63FvSUdhbWdhEPoiji9YkcqWljdLS0wB0fG0hdmxNBEPjqSD0uj4/i+nb0GhWxVqPiWwX6DdcbwcnhezMTWHf/AiICDahVAjNSQlGpBM4fG0XOI+f3OTW9YGwUzXa3QmTaHG7+vPpwv8eew+3F7vL2CoBLj7QwJy2UX104mlvmJKFTq7hlTjIRgQZMOg0p4RYcbh9Z8dY+2yy6Y1xsEC/cOJUAg5YLx0ex+1gTD32cg0Gr6iEFPlvwyCVjee76yez6zWJmDqLmGAwT4qwsyYzs8z2y6DU8f/1kPrx7DuNigxAEoV8r2X82F6PTqBQ7xqlAgEHLfedmANLGNMWfOQGQFR9EXLCRRaMjmOwPO5Q3fWv9QZj9obi+nbhgIwa/ymBhRgSZ0YFMSRyYoDoes1JCEUVpsgpd4Ysg1TWOiw0iIcSESadWAiZzq1p5cXOxEt7X2ummtKHjrKju1ahVwyYd+sKlE7vqPNMiLJw/NoopicFKCKqM2anS+7dodARPLJ/Au3fOIiLQwE0rdrMyu5J/bizC5fWxYmtJj/t9fEAKQVyxtRSfSC+C81TCqFMr7TYyqlo6lVBRGW0ONzuLm/jBvGRumJnAB/sreG5DIbFW45DOIYIgcMPMBI7WtuP0+HooHvrC9dMTWDgqnD98msfDH+cSZNTyu2USmfH+vgqK69sprGvHqFUPev4D+PMV43n99hkA/GhRGncvTOXz3FqSwyzcPDuJ9/dVsKukiaevncjKe+Zg6/Twmw9z2FHcRLPdzV0LU8mItLAyu6rf8FkZXp/I3mNdbTzdMcpPYIWZpe/D6KgAwix6vsit5Yi/incgvLe3gk1H6ymsa1MCR4cbPNsXZCJAtgidaM7DjpJGthQ28M6e3mGsIJ2bVALYHJ4+W5u+TnwriQdRFJXN85d5tT0O1u1Fjby2o6zffuARSMSDQavisomxHKhoOePhfyP4dqFKIR4MTE8OweMTe8jev25UtnQqkmg5FX4gG0F5k0RUyL5ig1albI73l7WgEnoGS6lVkq95Z0nvHymvT2RfPz+Ux0NJY2/swOH2cudre3loZe4p6yyXkV3ewpu7ypT/y0n3B8pbqG1zEBNk6LKkHLepK6hr58P9lcqCThRFnvg8n0m//6JXp/hgWHu4ljaHh41H6qlu7eSK57fywlfF/d5+1cFqLnpmM798/yBpERbeu3M24QF6NnfzlHq8Poob2gkx62jqcFHeJIWQdbq9Slje5ZNiWZYVwxPLJ9Du9LCrpImCunaSw8yoVAJBRq0y0TwZO8EI+odeo+63ocHQj3R8wahw9BoVX+RKm8OV+yt54atint9QCEjH4l8/P8KNL+3E7fXR4rdTBR8n3w80aHn99pmMjgokPsTEhl8s5OfndU3bx/mJp8FsFsdj+ZQ4piYGY9ZpuHNB6hn13veH+BATF0+IHtKG4mRxfAtHX1ay+jYn7+6t4MrJcT0mmKcC105L4E+Xj+fmOUkKmSjXtL5/12weWjaWWKuR8AA9apXAtdPiOVjR2qc02+7y8Oy6AtYdrmNUZNdmNcik5bN75zElcXhZHhMTrKSGm9lzrBmTTt0r0wQkO8uoqAB2ljSRXd7CDS/u5NFVh7n79X043F5e2VpKm9MzpCnxNwVJYWYmxlsJMesIMetYlhXD+3fN7qVwumBsNNdNT+AvV4xHEAQiAw288YMZhJh13PtWtlL1+M6ecnKrWnlrVxmtdjdf5NYwIS5I2TOMjTl9xINZp6bJ7mJldiWVLZ1sK2xg0ZMbuXnFLnw+EVEU/UGJUv7QuZlR3LVQUlrkVdu4Zlr8kH9/lmXFKLaMpAEqjkEiKp6+ZhI3zEykvt3JJVkxZEYHkhJm5vE1R1j05Fe8t7eCaOvQvo86jUo5Z6tVAr+8YDSr753He3fO4sGlmVw9NY4HLhrNpRNjyYq3ct+5GazJreGGl3ai06hYkBHO8ilx7D3WzIInNvDpwSrlse0uD3uPNStB0YerbYpC43ik+4kHWfEgCAILMsJZe7iW85/apChp+kJFs11RJjy1tgCX14dBq2J7Uf/Eg9vr45FPcpn72Hrm/GV9vwrR0sYOQsw6MvzWmBOxfgB84G8cyi5vwebouS5rtbtpaHcpBGjpGbZbfCutFhXNnbR2upmRHOI/KTcrJ/4d/sX/R/ureOCiMZh0GmptDjYXNHDl5Njv7ATL5ZH8rCCpRTKjA5mRHMIr20rJrWrtc8L0TcWqg9XEWA1Dek3X/XsHi0ZH8IP5J54Y/k3AvrJmMiIDeoUVnQ5UdVM8hAXoUQmwq6SpV996dzg9XrYVNvaQCZ4qVDZ3KgqFIKOWAINmwIDJ8ma7MoHSqFWMjw1SNtX7y5oZHRXYa+E+PTmE9fl11Lc5e0yg8muk2rqhhMwl+YmH0oYOthc1Kj+Ee481ccG4viWhJ4Jn1hWwPr+ODqeH2+elsPZwHUH+ikFRhKggI8F+NcHqQ9Wcmxmp+CY35Eskxe7SZlrtbv63vZTnNkgk7+qcaiX3YijY4icM9pe3kBJuxifCl4druHdJb6nzhiN13PPGPtIiLDx97UQuyYpBEATmpoXx1dF6fD4RlUqgrMmO2yty6cQYXt5ayv7yZsW2MiZKWmROSQxhSmIInS4v//fBIZ7bUMiOkkZum5Os/L1xMUEca7Sj/o7+XpyNMOk0zM8I5/PcGn63LJMv/d7kV7aVcsPMRF7eWqoQYq/vOMb0ZIk4kI/l/nB8g8a42CA+yq4atiIgLtjEu3fOHtZ9vkuQrWTX/2cHoRY9z1w7kf9sLsbt9fGDecmDP8AwoVYJXD9DkiRn+u1VsuItMrBrU3Xb3GS8PpHzx0by1u5yVudUkxRqZmpSMAEGLSuzK/nTZ4eptTk5f2wkDy7N7PPvDQd6jZp19y+kod2J1yf2S7ZdMSmWhz7O5bLnthJi1vHjRWk8u76Qi57eTEO7kyVjIhkXO3C7wjcNf7p8PLWDWBSCTFr+fMX4HpdFBxl5846Z3P36Pr43PYHxcUFc+PRmLn5mCwDPri+kw+Xl1xeM5ql1BRypaeuT8DlViAs20WJ3c+9b2agE0KhUBBg07DnWzF+/OML6/DqMOjXRQQasJi2TE6xo1CqWT4nj3T0VQ7IHyDDpNFw5OY5XtpWSFDa4jD/IpOXhS8by8/NHodeoEASB52+YzIHyFgxaNTq1itEnoQbp3ojz+PKsHtfdMT+FyEA9VS2dpEcGYNZruH1uCvHBJv75VRE/emM/24saqW51sKWwAZfHx3XT4/nT5eP7bOORkREpKW5CuwW9PnDRaBaOCuft3eW8tqOMe85JY+3hOiID9Mzodn7f4ldNBhg0SsjmddMTeGVbKS12V5/ZM+/uqeDlraUsHh3BrlLJ6vPenbN7KOyK69tZk1NDZkwgAXoNZp16UMWDKIpsK2pkalIweo10XrC7PKw+VE1ahIXCunZ2FDVyXjcrX5E/e+ac0RHsLm3mWGPHkNZi2wobKKpv58ZTTF5+K4kHWe3wk8Xp3PzyLlYfqlGIh53FTcq069MD1Vw9LZ7H1xzh/X0VBBm1nHuSfp1vIrYVNnDzK7v57CdzSQ6zkFtl46opcUzx+1e3FTV+a4iH6tZO7n1rP4mhJr68b8GAVVFNHS62FzfS2un+xhIPbQ43R2vbBpy4tNhdXPWv7dwxP4VfXTD6tD+nypZOwixSsrBBqyYzJpAdg0jW3t9byQMfHuLDu2ef0mPR6fFS1+bsEVYXH2xSPP3Hw+cTKW3o4LzMrpP6pIRgXtlWisPtJbushUu6yUFlyFLQXSVNStAcwG75h3IIiodQsw6LXsMH+yrJrWpl+ZQ4PjlQxe7SZi4YF40oivzgf3uIDzHxu2Vjh/YGHAe5j1ynUfHHzw6j16rZUtDAVVPjyC5v4WBFK9FWA8mhZnQaFb/+4BC//uAQ8SFGnliexfr8OgL0GtqcHl7ZVsoz6wu4JCuGujYHG/LrhuwRd3l8yjGRXdZMrH+6klNp69HZLuOtXWWEWXSsvndej/yLuWlhfLi/krxqG+Nig5R8h6UTYnhzVxnZ5S0E6CXffnpkTymwUadmbloY6/LrCLPo+Uk3wmNsbCCrDlUzwjucXVg6IZov82r5YF8l24sauGBsFGsP13LOXzfi8YncPDuJo7VtPL2ugD9dLh1Dx1stBsMlE2NotruYkXLyjRQj6EJymAWvT2RPaTMur48go4Y3dpZx9ZT4futKTxVkxUNfG807F0hNN6IokhRq4pFPpMDaWSmhfG9mAve+lc3EeCvPXT950EDB4SJskDaMG2clMTUphP9tL+W66QlMiLMyNSmERz7Opd3p4d4B8ii+qciMCSSTE9v0xlqNrLxnjvL/uxem0un2Eh9s4tFVeUT4N5xPhZmptTlO6yDyx4vSuHxSLO1OD6sOVlNY186jl4/jJ2/u5/mNRQQaNLQ7Pewvg8smxiiqjoeWjuXm2cm9fgMHw33nZjAlMXhY+QHdB1GjowIZHXX6FCAy1CqBKyb3tFWpVAIXjo9m0ZgI/u+DQ7y+s4y4YCPfm5GAxyvy6o5j6NQqqlodvdp4ZCwcFcFlE2N6bLhDLXqWZcUQHWRg+b+285M3s1l7uBaVAD8/fxR3LUhFEAQ2FzQQGajn4vExrNhaQlqEhYvGR/Py1lJ2FDdxwbieeT0Ot5dn1xcwOcHKizdNZVdJEze+tIu/rM7nseUTACmg86aXd6ESBP54maTMiQoyUGMbOMD24wNV3PtWNpdPiuVvV2chCAJrcmrocHl5eNlY7nh1D1sKG3oSD/51z8KMCB5fc2TAgMl39pRj63RzSVYMd7+xD1unmyX+4NFThW8t8aBVS8FP54yK4P19Fdx/3ih8fgvGXQtS+Ty3hv9uL2VJZqQi3Xl0VR6lDR28tbuM3y7N7DOUUhRFbJ0eggaZkgwFsr/4VCRbnwze31eJy+Pjo/1VXDg+CrvLy7jYICICDExJDObj7KoeYTpnCh6vjzd2lTE/PVyZ/g4V8sTz5a2leHwiRfUdbC5s6OHFPx5ysFNetY3GdiehFj1Oj5f1h+tYkhn5tQf8DRdtDjc3vLiTAxWtrP3Zgn49locqW/H6RDbk131NxIOjxw/D3LRwXtxcjM3hJrCf/nU5kXpzQcMpJR6qWyR2uftUc35GOP/eVERpQ0ev42xHSSPNdjez07rY8InxVlweH6/vLKPN6enz+Y2LDcKkU/Ps+gJaO90syYwgIsDA7tJmYvyZCYNBEASSwkwcqmxlVGQAv790LOVNduW92VrYyNrDdWhUAj+cnzrshQlAcUMHLXY3v790LF/m1fLgRzmA5JWNtRo5WNFKnNVIUpiZvb9dQk6ljUOVLby2o4z73s6mrs3JD+al8N7ecv6+9igmnZoHl2ayMruSR1cdprzJ3q+Evjuyy1uwu7wsGRPJ2sO1fHqgmqRQE6WNdlZmV7KtqJGJ8VZ+uiSdpg4X6w7XcfPspF7fybnpkormF+8d5MrJsUqK+KioACbEWdl4pJ7EUBMp4ZY+p4pLMiNZl1/Hby8e0+PYHOdPYB+xWpxduHh8NE+vK+D/PjyE2yty69xkxsUGsq+shVvmJDE3LYy8ahtLn93CQx/nAr2tFoMhIsDAL84/7jzpsoPXBcaTq7RU0FAIn/4UrnkVjN8O0n8wnD82krKmdK6ZFs/P3znAazvKiA8x8uCyk1cQDAZ5AjvQhFsQBH64IJU1OTWMjQnk+Y1FbC9uJCsuiLfumNmvKuF0Y0x0IH++YoLy/wUZ4az56XxqWh09ghNH0Bu/7LbeGR0dgEalQq0SiLH2vXk9lRAEQfkt7KkAmMBzG4q4a0EqG4/W8dDK3B7hmUadWmmsGA6CjFqWZfUeinyToNeoefKqLB68OBOrSYsgCIiiiF6j4sUtkprtisl9N9qEmHU8de2kPq+bkhjMhLgg1h6uZWpiMNFWI4+vOYJGJXDb3BS2FjWweHQki0ZHsGJrCdOSgsmKs2LWqXl0VR4FtW3sPtaMKIpMSgimqK6d6lYHT14lEQMzUkK5Zlo8b+8u5/7zMgg267j79X3Utzl5645ZyjozOshIVUtPxUN5k51g/9BJFEX+vakYvUbFh/srGRsTyG1zk1mxtYSUMDOzU0OZkRyiqEVlFNV3oFULZERaiAzU91upufdYE79+/yA+Ef71VRF2lxefCO/tqeDHp4pT7OYAACAASURBVJDEPLt3TieInMpWMiID0GvU3DY3mWa7mw/2V7DnmBT8NiMlhHvOSSO3ysb1/9mB0+Pj1xeO5lijnT9+dpiGdhe3vrKb76/Yxa2v7GZtXi2iKHmu7n/nALP+so5CP4M0FHS6vGwpaOCTA1VK7V5dm4Nl/9jChEe+4OaXd7HoyY1M/+Nabv/vHgrrBu+Hlb3HJ5u/4Pb6WJcveWI/PVjFazvK0GlULPJL2i+bGMOR2jYOD7Om7FTD5xP59QeHeGhlLpc+t3XQCXl3tDnczP7Leq55YTtv7izjgrFRhAfoWbGlZMD75VR2veZtRY10urzc/t893PX6Pv67rfREX8rXAp9Pmn7nVEmvYaPfp98XZIVQfk0btbbTU+XTHZXNdmK6saeLRkfg8YmKnK0v7PNnKAx0mxN6Ln7bR3fFw61zktCoVfx7c+88gY/2V2LRa3ooHuZnhJMQIk1MACYl9N58aNUqHl42FrvLywMfHmLGn9Zx40s72V7cOCS1g4xRkZIk7183TsGk0zAtKYScKht2l4en1x0lzKLDJ4q84j8+RVFkc0F9r8Cq/rDvmPQ+z0oJZcXN07h+RgKp4WZmpoRy0+wk/nXDFMUrGWDQMis1lDvmp/LUtROpsTnw+kQWj4lQSNvb5iYTHqBXLDIbuh2H2wobOO/vkl8UpCmB7K3dUlCPSoC7FkrTxjanh6unxRMfYuQva/L56mg9T68r4OfvHuS5DUV4fCJX9SE9jQw08IfLxqFWwaOrDvPPjUXEBBmw6DXcMS+FkoYONh6p77Hw646rpsTx9h0ze4SagZThYdapT29wm88Hq38FZTtO39/4lkGjVvHL80fj8vgI9suTf7QonRU3T2NeulRPOzYmiCeWZymVuYNZLYaEVffDvxeC9+Tr1QA4sgpKN0PZzlPzeN8ABBi0/OzcDGKtRh5fPoE5aaE8c+2kr8X+F2bR8/S1E7lh5sCtGNdNT+C/t07nlxeM5ieL00kMNfHPG6acMdKhP+g0qhHSYZiYnRo2pKyl0424YBN/vmI8CaEmvj8riV0PLO4xvf6uQxAEgs06RY0iCAK/XZrJX6/KwqLXcMEJvFeCIPDL80czJy2Uf94whWeunchF46P4y+p8lv9rGy12N+eMDmd6cghLxkRy+aQ4dBoVL940jQCDlie/PEpZYwd1NifPrCtgXX4tV0+NY3Y3+/Dt85Lx+Hw8s76AX753kF0lTTx25YQeCoxYq5H8Ghuv7TjG6kPV3PP6PuY9voFfvX8QkIZLuVU2HrlkLOePjeTPq/P5x/pCcipt3DE/BZVKaikpru9QChZAGtwlh5nRqFUkhpj7VDy0Oz3c9/YBYoON3L0wlYZ2F788fxSzU0N5e0+5kqORX2PjkU9yufpf25Va1e518kPBN0rx0ObwKAnkWwrrKaht56bZScQFG3l9ZxmXZMUQZNKSXd7CxX6GcHpyCONiA3lpSwnjY4PQqASmJAZj1KpZn1/HxweqmBhv5c4Fqbg9PsIC9Fw6MYY/fJpHdnkrtk43t/9vD/PSw5iUEMwH+ytRCXDf29m8f9dsJRcBoLnD1Uu2eaSmjev/s0OpnzFq1YyPC+KaF7ZTa3Ny8YRo9pc1kxRqxuqvj/nZOwf46O45OD0+9BpVDzuA1MqRwwf7KvCJcNOsRB65dByHq23EBRsJ6Gdi3Be8PpFdJU3Sl2pUOBuO1FPeXM5VU+IUH9TFE2J45JM83ttbwYKMcOKCjQPKHo81dvDi5hL2lTWzdEIMdy5IGbJczeH2smJrCSatmqunxffwyT+1roD39lZw8+wkNhfUc+sru9n+68VDUp68uuMYNTYHdpeHNqeHe85JY+OROp788ihbChqUqejxyK1qJSbIQJtTCrh7e3c5W4saiAkysGJLCTf1MWEdKr7Mq8Xh9jIhLojEQcJ+TgQfZVeyo7iJv1wxnhVbS9hwpI7b5/VtFzlUIYWJOtw+vjo6tGqhE4UoilS1OFiQ0aUmmpxgJcioZX1+XQ9mX0Zju5PSRjuBBg37ypppd3pOejHa7vTws7ezFel9nLVrkRYRaGD5lDje21PBvYvTFb+vw+1l9aEaLhgX1SMYzqLX8I/rJ3HlP7dh0mlI7ufzvHpaPFdNjeNIbRtrcmp4bccxmjpczEgeulf8oWWZ3H9ehjKNmZoUjHeDyG8/zGF3aTOPXDKWXSVNvLHzGHPTwnhzdxmrDlaTHGbmnnPSKKpvZ+mE6D470wH2lbUQaNCQ6u+h/9PlPX2yx0sKZUxOCObuhal8fKCKSfFWNCqBGptDsSilhJlJCjXx7p4KLs2K5d+bi3huQxGCAH9clcekBCs3vLgTg1bN0gmShHFKYjCT4q0EGDS0OTzMSA6lsd3FS1tK+NvVWRTXd/APf3BgVlxQv1OgG2cmcuPMRJ784gjPri9kWqS0uFySGcmSMRGsPVzH6H7uq1Greng9ZVhNOrY/sBjL6QzhayyAnf+CA2/CbV9C+CiwVcOO52HRg6A58zV5ZyPOHyt9rhmRAf2qCZdPiSMl3MzG/LpTQx6VbYPmUsj5ALKuOfnHq5YWmtTlwqgLTv7xvmGIDzHx+u0zv9a/2VfV8UD42bkZ3Lck/TubCzaCrwcRgac2VPXbiuVT4k4qp29ueliPvcATy7M41minvMnOw8syuXh8NIIg8OJNU5XbzEoNZdWP51Lb5iAq0IAgCDjcXiUXozsSQ81cMC6K13aUIQhw7+L0Xuece85Jo7ihnd/6laZmnZqJ8VbW5NRQ0WznmXUFhAfouXxyLBeOj+biZzbz5JdHlcsArpwSx3MbCnn441zevXMW24sa2XOsmYf82TMJoSbW5NTwzp5yOl1e6tuc/GRxOk+vPUp5s513fjiLaUkh3DQ7ichAA+EBeu59K5u7Xt9LTauDAxWt6NQqPD4fz28o4sLxUfz0rWyeunZin9kafUEYLlNxJqGPThcTb3tGmfIbtCp8Pinwo7HDRVKoifTIANbn1/HenbMUyfPK7ErufSsbkCZ5b94h/aC1Odz87J0D3DQrqd/Np9vr47/bSnluQyHNdjfTk0O4aVYS97yxj1kpofx4cRqzU8OUv3HLnCR+e3EmapVAUX0717ywA7VKCsT502eH8YkQaNBQWNeudAp3x0f7K/np29lcNz2eVQerGR8XxIvfn0ZDu5PNBQ28tbuMgxWt3Dw7icYOF58erOKH81N5YVMRUxKCeeuOmcpiy+cTKapvx6DtmRDu84n8YVUeb+8uJz7YRFmTnXX3L2De4xvw+kS+uG9+j+7kW17exYYj9QAIAlw4LooHl2b28vzU2Rxc/vw2GjucJIWaya9p4+bZSfx4UZpCZDR3uMiuaMHW6ea8zK4NXHmTnTtf20uuf0IfoNcwOTGYK6fEkRkdyIVPb2LphBj+dnUWedU2Ln5mCw8vy+TmOQOHTnW6vMx9bD1jY4N4+pqJFDd0MCUxGJvDzdX/2k5Zk51Xb5vBlMRgGtuddDi9yqTgnL9uZFRkAF5RVDq+H18+gRCTjtv/t4enr52onDhqWh1878UdhJh1XDYpFotew9SkEGKtRtbk1NDa6eLqqfEIgsCB8hYufW4rIEm1X7ppKumRAXx6oIobZyUqhMuxxg4qmjuZnRqKrdNDY4ezF+lT3mTnsTX53DIniSmJIVS2dGLQqFj27BZCLXpW3jOHx9bks2JrCfsfOq/PDfvcx9aTFWdlV2kT05NC+NUFo4kI1J+SKU5Du5PQbux0c4eLSX/4kgeXZnLb3K7P7v/bu+/4qurzgeOf52aSkDASwpY9FVBkuAcg7lpXxT2K2lpH1da2rtafrfXXoT+1dRZx1VmrooW6ARWQIUJAZG8CGZC9731+f3zPDTchgTAONwnP+/XKKzfnnpz7Pec+93vPeb7j3PLaQmavzmXu3eN2mXfjk++2MfGl+dw+rj+PfrKCSVePYOygvZuLZcnmAkorg4zq1R5V5bbXv+WDxVs46rB2JMYFePHaUbUuUtbnlXDaIzMZNziDJy8/GthZj7w6cXStTHbY1MwsCsqquHTUrvdQrk9pZTUzV+QwZmDHWgnMvVFYXsWwBz5C1RsicuXRrMou5kfPzKa0MogIXHd8L/6zOIutXm+WDikJTLn5eLILK0hJjK0VU2f830wyUhN56bpR+1Se8JCm+ry7cDN3vrWIhNgApZVBJozszoVHd+Pip2eTHB9DUJUubVuxJqeE4/um8fAFQ+nePokrJ33N/HU7WPTb8QRDysrsopr71mcXlbN0SyH9Mlrvceyqej1B+ndMqZnIdOP2Un76zwU8fMHQpjcJ26LX4Z0bIT4FktPgZ/Ng5p9g5p/h8reh37hol9AAlO2A/+3pHncYBD+dBYH97Ez6xAiXeDriQrjo+f0uojHGmL0Tvtbc1/OzutbnlfDy7PVMGNWdvhn1N3aougbhVvEx9O+YQm5xBSf96XP6ZaSwfFsRD50/pGZS3G835nPJM7P59ZkDuTbiWujNeRu56+3F3HxqX75clcvWgnKm//IUEuNiWLqlgJ+/vrPRDVyv45krcrhweLeaOSjCyquCXPLsHHIKy0lPSeCHR3bl/KO68tDUZby3aAvpyfFsKSjnyO5teeem4xAR5q3bzqheaQtUdQT1aFaJh76HD9MJf3iFYd3ackK/dBJiY7jnnUyyiyq4ZGR37nt3CRXVIe46YwA3nbJzTgJVZZHXqtszLXmfLqiKK6qZmpnF2IEZpLVO4MVZ63jis1XkFldw3fG9eGvBRhJiA+QWV3Jiv3RuHduPW15dSFUwxBs3HkvfjNZ8vjybayfPQwSeueLoertPqSoXPjWLbzbk0zs9mbV5JXRvl8SmHaWE1F00PHjeEZxxRCcKy6sY99cZZBdV1MxmeuHwblQGQ6zcVsSW/DIKy6sJCJx5RGcS4gIUlVdTUlHNrNV5DO3WhsWbCjh7aGf+ftlwfv76QqpCyt8vG16rTAs37OC1uRsYO6gjmZsKmPTlWuJihN+fP4QfeGPGlmwu4FdvL2Ztbglv3ngsgzun8sD7S3lx9noCAsf0TmNApxTenLeREm+c9bnDuvD4hCPZsL2US5+dQ3FFNY/86EjaJcfz1vyNfL12O2tzS+iUmkhJZTWf/+KUmsmWzvvbl5RXhZh624mszyuhe/sk1ueVMC1zK/llVRzRNZXzj3KZvz9/uJw3bjhml5bL7MJyLnp6Npvzyzh1QAZfrcqlrMpdEN0yth/HP/wZd57WnzZJcdz/3lJuOqUPd50xkFBIOe3RGWzJL2dI1zYc1zeNaZkuI5meksB6rxtTSkIsF43oxuSv1gGum+YDPziciS/NJ3NTPpOvHcXd/85kfV4JsTEBCsqqGDswg79fPpz/LM7ivveWUFoZrLnHeEV1iAuO6sqNJ/ehb0ZrKqqDXPDkLL7fWkRMQOjTIZkV23ZWJq9eP5rj+qQze3Uelz43h2euPJrT68RcOBHw6zMHsiq7uKbbe+8Oybxwzah6u2vu7uIy0oL12/nRM3P4ycm9a8ZEL9lcwDlPfMnTVwyvdSeGdxZu4vY3FnHPWYO44pgetIqPYV1uCXPXbmdVTjHPf7mWBfedxuiHPuGkfh345ekD+GRZNgmxAa47YffJp6LyKk79y3SKK6r5+PaTmbEih3vfXcIvxvfn5jENj1t7cvoq/vTf5Txx6VGMHZTB+Ednutv13X5ykxrb/+b8jbRPimfsoIyaBE9xRTVfr8kjvXUCw7q3pbC8irU5JQREmPDsbIKqlFe5L9VRPdtzx/j+tEuK54zHZvLzsf3rvXPEgTB7dR4PvL+UK47pUdOt+fY3vuWdhZt59JJhnDO0C8uyChnStU3NvizcsIMN20v3ukXyoAiFIFgBcQdoPHBxNrx6CfzgcfjmZVj4Cpz/NLx5JVz6Bnz2IGxbAsfeDKf/4cC8ptk/a2fCi+fC0Amw+HW47C3oP37ft1dRDH/sBqhLZPzMhtoYY8yh6saX5/Ph0m0c2zuNV68fXas3RUlFNcl1GhRDIeXqyXP5whua/OAPj+DKiGFkqsrCjfmkJcfz3rdbeOTjFaQkxta6xtqTjdtLOfUv01Fgwsju/PPrDfx8XD8Wbshnxooc1v/vOS0j8TBixAidP39+g89/sTKHOWvyuPO0AY26MNpf5VVBfvveUt6Yv5FWcTFMu+1E5qzJ44H3v6OsKkibVnG8fsMxtcYPPzzte3qkJe22VXRDXikfL9vG5aMP44PFWfzlw+Wcd1QXLhnRnV7pybWCbs6aPD5cupVfnTGwpiztk+MZflhbMlITObJbW1bnFPPq1xtonRhLm1ZxFJZVcfkxPbjplD6syS0hPTlhrybLXJtbwh1vfsvCDfmcOqADBWVVfLPBzQ7/2KVHMmbgztboZVmFTM3M4j+ZWazJKeGsIZ246tiefLUqlyc+W8X5R3Vl5oocQqq8MnF0rS7gVcEQ97+3hNfmbtyld8Nrczfwm39n0is9mbW5JSTEBqiI6AlTXhVi/OCOfLxsG+MHd+TpK46utwvW9pJKHv90JW/O38ipAzPolJrIi7PWkdoqju0llUy+ZiTH9E5jxopsxg/uVBNXy7cW8cqc9SzeXMDiTfnEBoTJ14ziuD5pbNheSmF5Fb96O5NlWYWcOqADAzun8tT01XRuk0hWQTl3nzWQG07qw9aCci58ahbtk+MZMzCDxz5dSXxMgMpgiFE92/PDo7ryzsJN7laXibFM+mIt1SElPjZA64RY8ksreeLS4Xz2fTZrc4s584jOVAZDJMfH1ByvqmCI4f/zMYO6pDLp6hFs2F5KVn45PdOT2JJfzlXPz+XViaNpkxTH5K/W0S+jNU/NWE0wpIzq2Z4xgzKYMPIwvl6bxwtfrWP68hzGDsrgvnMGU1kdonPbxJrb+oSFQsp5f/+KzM0FiMCL145iYOcUPvkum7vfyWTKzcfXtFqDNxHmpLks8irDS0cdxkuz11FY7uYmGNatDe/dfAIPvL+0JpET9uAPjyA24HqSnDa4Iyf260BIldfnbiC1VRwrs4t5avpqEmID9OnQmuXbijixXzrPXz1yt/VEdTDEhU/PZllWIUd6PULqS2A1N58vz+YfX6zhnKFdKCir4qVZ69ji3cIpKT6Gf9903EGZvTqstLKazE0FzfO4zvyLGw5x2yKIPwBDpuY+B1N/AaNugC3fQiAWrp4Cf+kP6f1g49eAQMfD4adf7f/rmf036wn46F64czk8eQz0Gw8XPLvv29vwNTw/HjIGQ85yuCcLYn2cS8QY03xVlkK8zefRki3ZXMAD7y/lLxcPa/TQbFVlTW4Ja3JKGDMwo8HGMlXlyemrGdgpZa97Er81fyMJcTGcdUQnTnt0JmtzS0hLjmfiib256dS+h0biIRpUldfnbaRTamLNBGrrckt4esZqLh/dgyHdDl733apgiMWbChjarY3vd1yoDoZ4avpqnpm5hr4ZrTn98E5cfsxhDd6VQFUpqQzWdPUPhpQr/uEm1zuxXzr3nj243jHa4Q9P7zoJl+KKao5/+DMS4wJcf2JvtuSX0yElgYtHdKNdUjz3vJPJ6/M2MrpXe168btRe9XKZsyaP61+aT1F5NXPvHrvHMXa5xRUUl1fvcgeE0spqPl2WzfjDO5IQG8P05dk8PO17Siqr+ejnJ9cMM6moDhIf48aEPf/lWlblFHNC33TGD+64yxjlzfllfL0mr2YiyDEDMxrVEvzmvI385p1MkuJjKCrfOdFgq7gYyqqCLPrteNq02vnerckp5vFPV7J4cwFrckpIbx1PbnEl6a3jOb5vOlMzs6gKurqjS5tEJp7Ym67tWvHZsmw+XraNbu3cHRAeOn8Iz32xhrW5O29PGRBYcO9pu8yHEu5i9tePVzB37XYGdEzh6uN68tePlnP1cT251ZtVd1V2MV+tyuWY3mk8NHUZM1a4YUDh5FNSfAxJ8bE1E98AnHdkFwZ3TuWP075nUOdU3vrJsY2aJyK3uIL731vC1MytTBjZnYcvHLrH/2luyquCvDJnPeVVQS4b3YP2e3l7wUOWKjx+pBvbf+EkGHLR/m/z5Qtg9afQuhOU58OIH8MZD8EHd8D8SW6do65wPSF+sRJa73rnpX0WrIIP74buow/Mvhwq3p4I62fDHUvh3Ztg2Qfwy1WNn4NDFRa+DL1OgnY94etnYdovYfzvXULjxi+gc8urd4wx+2nxWzDlZrhhBmT4f0cyYxqyfGsRq7KLGTc4g4TYGERk/xIPInIG8BgQA/xDVR+u83wC8BJwNJAHXKKq67znfgP8GAgCt6rqh43ZZn2aYuLB7LuyyiB5JRV7dV/hSNmF5aQkxtWa6C9MVZm5MpcRPdrt0g2pMVZlF/NdVmHNUJIDRVWpDmlUbsU5a3Uuf/tsFeMGdWRY97as3FbEB4uzSG0VWzOPQV2qytTMrbw2dwNjBmZw2ejDSIyLYfnWIqYvzyYlMY4352/k2435gLv4HzeoI99lFdK9fRIvXjuSzfllTMvcSmJcgOSEWHqkJe0yt0nd11y4MZ8BHVNI9m4hBNTbY6WwvIoHpnzHCf3SOHtIF75YmcP05TlkFZTx4xN6k11UznvfbuH3PzyCDikJvD5vI6cf3pGMlL2bsGnplgL6ZaQcsLF+pgXYNB/+MdY97nsaXPGv/dteeSH8qTekdoH89W5ZOKGxYQ48fzqk94fzn4HnToUL/gFDL66zjQIo2gYd+u/da4dC8M4NkPmWm1Pi1m8ObFKjJfvbSEjrB5e+Csv/C69dsndzcIR7uXQ+Eq7/DN6/FZZPg2umwpOj3fs9bELjy1O4BVI6uwmZjDEtU7Aa/jYCdqyFwy+AiydHu0TG1NivxIOIxAArgNOATcA84FJV/S5inZuAoar6ExGZAJyvqpeIyGDgNWAU0AX4BAifEe12m/WxxIMxTY+qsj7PDS/p3i5pl54MxrRI034N85+H4VfC/Mlw5/d7f7FeUQQx8a4r/dJ34K1r3FwOb1wBoSq45RtI6+NaxV84GwaeDaN/An/uA6nd4KjLoWATVJVBcgeY95yb7HDcA5CUBhvnQI8ToOvRoEFXzq2LIRSEwee5spcXwn/ugBX/hZETYcELMPQSOO4WCFVDq/aQ1N6VNWsRpHZ1d9iornBDQWLioKLQ9ZgIxIDEuOWhKtcTIG+lmwMjLhlatYOMQZDSya2ftcit12EgxCVF/L+3DRG376FqCLo7QxGIhUAcVBZB/kZITofWXhdRDbl1Q0G3v6HgzjIGYkECtS/IC7NgxTRIbAN9xkBJrnu9dj0aN7yhaCv8dSCc8hs45VdQVe7em/5nwNAfuXjoNNTtT2UJlOS4xE6oGgo3Qd5qmHKLSxTsWOvm7lg2Bdr3gcv/BQ91dtsZOgESUtx7HNcKMv8F62a6/es+Go6+xpV36i9d74mB58DY37oeFGXb3dwh1eUuJlq1g+1rXJna9YSENq485fnuNcLzlYRC3jH0jmeouvbxDVVDUZaLp0Cc23ZSGrQ9zCXP9pT4CIUg53sXv12Hu/exPlmLYcnbbuhJj+Ng8wK3brdRrldJKFj7NqZlO9zwp+1rXDz3OB6qSmDTPIhNdAmecGzEJkBMAsTsoXGiugLK8iExdffzuajC1kz3Wl2Ocu99RSEsmAz5G1wPpk5D3PYqimDW47D0Xfe57jvWLWvfG9L6urJFfgYqCl1iMbGtG9ZVc+6uDT8OVroeNIvfgH6nuc91u57ufasscYnMxFT3P6rutaor3OcSdQm1FdOgdDsMOscNA/r+A/eedxkOY+/33uuAi4f8jS5G0vru7PGj6r1HlS4WAeJbu1irKHLHJbWLO665K10Mtem2a/yEy6ghdxwKNrp6JDnDxW5xtnuf0/q6z/Pu3iMNecepgcca2nksNeTKXpoHCamu/mvs5LGh0M7PefE2FxNpfd1nMRDn6qV9TRB++xq8+xP3Odg0D26a7epWcMd1x3oX70ntXcwEAu59KM52n/2kNPc7fEwqS9x+JrapvbzmeHk/4GKzqsy9B4ltXT3XVBKdwSqoKnUx+f1UyPrW1YfdR3tlFPd7b8sbPg6BxveePpTtb+LhWOB3qnq69/dvAFT1jxHrfOitM1tEYoGtQAfg15Hrhtfz/m2326xPs0s8ZP4LVn8e7VKYA6L5DEnab81o+NUBEapyJzIacheBMXHud2A3JwW7O0ahKjc2u2yHG5dfcxJU58uu1jZ012U1X5KBiB+pvZ2D/V5Vl8H2te7123R3x6k++3oS0qj92Zt9ll2P2QEpA7DyI+h1Ipx6r2uZbt9n9ye8dZUXwPbV7uKifW93YROqdkMoXr8MNs2Fu9bWX+5vXobpD7uT2thEd/FUUQCHHecuLJf/x60Xl+ROwsICcdBthFuWtWjn8thEl6wYfSN8eA/M+Xvj9wPBt/pRAjtPdg94Gfb0P95xr3X86ywLecPWIns4/Os6d6EcFoh1P9Xl9b9MShe4cQa8+1NY9YlLTJz/FAw6F545qfb7FKl9b/d+5i73yuQdq8HnwYoPG369PQnEuguU/XlPA7EugVRLne2FkxhhsfX0QlN1k7fW915JYOcFY10ScBdE4QvdRqn7fkf8HVlOidn994IG638utpWrP+vqcbybuyXyNSLLFIjZ//ej69Fekq++16jzeiK7/8y17eGSJ6s/q1231NpMwB0nDTby81tH+Ls38qK3of2vr46ITaw/iXAg6qlwYrTWd0rE9wzsXF5d4c4HGt6YK2ujLmbrxFx1mUs0XPkePDYMKot3niPs8j6LO68JVlH7GHjnF1A7bvdY79b9PNb3/Rrx9+6e29/n655T1f2MheOwIRJg1/MEodb5Fnixru5zHD4+4WNUXxzs7XlHQ/u3x8UNrVvf8oO3rty1qsHEQ2P6oHcFNkb8vQkY3dA6qlotIgVAmrd8Tp3/DQ9I39M2XeFFbgBuADjssMbdGRibpgAAEjtJREFUpq7JyFsNa6ZHuxRmnym7rzxbskNoXwMxrtUnEOsy/sGqnb93azcVc/verjUpb5Vr0Ys86Qm3LNXdxi7L6rTARLbMNKYcfoiJdS1m4JIr9Z7I7ubkrta+N6QR+9OYz2JNK1bE70Z/hhuxXnIHGHWjG1t73K2QvayR2/a06eq60FeVQe4KF28DznTH+JxHoXhrw+UdfqWb66Fwi2vtD8S4Vsmk9m4/F73mtt/zRNfik7vSnZgOOBtSvbvJrJ8N679yJ1GDfgDp3p2gxtwDab1dAiMQ67Zbtt0lNzoPc/G8Y61roQxVu5PrxDbu+XBLcqgaUNfC13kYVFe61y/Ng21L3W8R6HiEO/HOXeEulGta1L3W9nAvipi4nRcjwSr3GnGJLvlVmud6HtT0kgjUfhyq9v6neteYiG8N/U93+7hhtmtpRdxQl7on6ZEtyeG/W7VzLfF9xuxcb+z90P0YNwFoUZa7C0ko6I5RSid314pAjGs5Te3ikpPxyW5IxapPXQwkepO7/uBvrnW5TTf3fyXZLqHZ8yToPtKtk7XIteyFqtw8Eb1PcfOOrJ3penQktXcxEpfk/r80zyXJQtWutbmi0B2rVu3c44piL1kSU7sHS63jG7uz1bTzMFeO0jzXo2PHuog6r466SZz0fu493Lyg4SRBalcYcrE7DtuWuhbe4m2wZaErS0zczgtBcI8HnOW2u/TfriwS8BJu5e79CF/sVVfUqevrJoC937GtoFVbd3wqS9it9r3d+795gTsWgQD0P9O9h4tecwnG2HhXhh7HQ5cj3ec4f4OLx7yV7nGw0n1uQtXed1Qb91O2w5U7fAxrfkVe9EY87n4M9DjWvcaGOV5Pgc4u5nKWewkq7wIp5F2gdR7m/s5e5uqQ1hmup0OnIdDrZPdcwWb47l1XTg25bbTp7p4L12fhz6J4n+Gk9m69ymLXKh/XyvWQKdziJklM7welua7nREOJdwm449Smm/vcF29zPWCSO3h1yXKX1K178Rj5/7VavaXO8nr+J8br0VOW745fZCKoVp1SR8D7vkzrA0npLplctNWVM1x3Vpc1Ltld3zrDLnG3Wv7RC64+D5cjoTW06+Xeg7Id7rMVrHLlSeno1inNq10nJqS6hoTyfPd+1joekcdO3ecoJt69d+UFrl5psKx1E45192N/nq/nmCSkurouWOESbt1Gunl38jfsPD6RvVlqLQtR73kD7OyRV1nsnUvU6T1Xd/19TXQ1GAv1LG+y6yrweAPboFE9Hi4CzlDVid7fVwKjVfXmiHWWeOts8v5ejUsk/A6Yo6qveMsnAdO8f9vtNuvT7Ho8GGOMMcYYY4wxh4DdDbVozEClzUD3iL+7ecvqXccbatEGN8lkQ//bmG0aY4wxxhhjjDGmmWtM4mEe0E9EeolIPDABmFJnnSnA1d7ji4DP1HWlmAJMEJEEEekF9APmNnKbxhhjjDHGGGOMaeb2OMeDN2fDzcCHuFtfPq+qS0Xkf4D5qjoFmAS8LCKrgO24RALeem8C3wHVwM9U3Swf9W3zwO+eMcYYY4wxxhhjommPczw0JTbHgzHGGGOMMcYY0/Ts7xwPxhhjjDHGGGOMMfvEEg/GGGOMMcYYY4zxjSUejDHGGGOMMcYY4xtLPBhjjDHGGGOMMcY3lngwxhhjjDHGGGOMb5rVXS1EJAdYH+1ymCYhHciNdiFMi2NxZfxisWX8YHFl/GBxZfxgcXVo6KGqHep7olklHowJE5H5Dd2qxZh9ZXFl/GKxZfxgcWX8YHFl/GBxZWyohTHGGGOMMcYYY3xjiQdjjDHGGGOMMcb4xhIPprl6NtoFMC2SxZXxi8WW8YPFlfGDxZXxg8XVIc7meDDGGGOMMcYYY4xvrMeDMcYYY4wxxhhjfGOJB2OMMcYYY4wxxvjGEg/GmEOKiEi0y2BaHosr4zeLMWOMMc2ZJR5MkyUivaNdBtPyqE1sY/wRE+0CmJZJRH4pIr2t7jLGNHUiMlxE4qJdDtM0WeLBNDkicqmILAXOtRYec6CIyNUi8l8RuUtERka7PKZlEJHLRWQW8CcRuT7a5TEth/dd+DVwJzAu2uUxLYOI3CAiD4pIq2iXxbQcInKZiCwCTgdC0S6PaZpio10AY6CmC2ky8CgwGrhBVb+KfN5ae8y+EpEfABOBe4DewG0iMllVPxWRgKral6TZKyKSDPwBOAK4G0gDrhWRj1V1XTTLZpo3EWkHPAckAb8AzgVKveesvjL7xGuFngj8CigHPgK+iGqhTLPnJbDuBy4FLlPVWRHP2bm7qcV6PJioE5EYdYqBSmCyqn4lIq1F5Jjw89Eup2leRCSy6/tZwEuqOhP4N1CFO/nCTuLNvlDVEuB1VR2nqtOBHcBWYGNUC2aaPVXdATyhqmep6hdANnCt95zVV2aviEgAQFWrgG+AQcAzuERpWjTLZpqviLgqA3KAl4CvRaSViIwXkRQ7dzd1WeLBRJWI/A54XEQu9hY9BRwtIv8EZuNaEp8TkfO89S1mzR5FxNVF3qKZwA0AqlqI+5JMFZEbvPVtSI/ZIxG5WUSGeI9FVed4jy/AtVD3BR4Rkau85VZfmUapE1sxqjrDeyzAJ8AOEekRzTKa5kdE7gb+LCIXeovmexeKTwHdgHFWT5m9FRFX4XOsd3A9tP4LzMWdb70QcY5lMWYASzyYKPIuDkcBHwM3i8gdwPfALKAMOAW4EvgcuEZEkq21x+xJnbi6RURuB6YA20TkVRH5BqgG/g/o5XVdtqy8aZCI9BCRGcC9wCPgJimNSFhtAEaq6inA28CvRKSt1VdmTxqIrWD4ea9uigNaAflRKaRpdkRkqIjMAQ4H5gH3i8jZqhr0ElvlwGTgMqBnFItqmpF64uo+ETlHVdcC84GlwFhVvQiX3LpJRNrYd6EJs8SDiQpvrOEJwJ2q+i5ufFg34CpVfRK4WVXzVLUAWAPkAZEn+sbsooG46g6cp6rnAA8At6jq3UAKUK2qIYsrswfbgX8C/YCQiFzjLY8FUNX5qrrdW7YCWIBr/TFmT+qNrcihYqo6D+gFjPGes/rK7EkAeF5VL1fV14E3gXDrtAKo6mtAIXCyiIwUkcujU1TTjNQXVz/ynnsP+LWqZnt/fwcsxiVNjQEs8WAOgronSV4LcxWwDDcZDbheDnOA0SLS38vGh10FVKlqqbVMm7C9jKuTRWSAqi735g8RXIJiDdgtNs1O9cSVqGoR8LL3+2lcD604Va2KXN97fB+uhTobYyLsZWwFRSQQkYB4AzeRqdVXppYGElErgVciurjPwDXeBLxke3j5S8CTuLmPEv0vrWku9iKuqr1eNGXhc3ev3roHl5zPOSgFNs2CJR7MQRfR5eo/wGEiMtC7YMwECoAuUDPmdQlu2MUdUSmsaTb2EFf5QCcAETkfNwaxCtfSaEyDwhd53rhocK06K3C9Z2qeF5GfAYtwE+Rep6rVB7+0pjlpRGyFIoZdtMLFlzENCl8sqmqJ11gT/l48E9ga/ttLPvQFfg+8AgxQ1UlRKbRp8hoRV8GIda/CDbuoAn4c+ZwxlngwvhGRM0TkPeBBERkRsTzcgrMUWA9cDaCqy4DBQLr3/GLgIlX9ecSJmTnE7UdcdfCe/x64WFUnqmrlwSu5acp2E1eByJYf74Trr8DpIpIiIv3E3VrzC1x9dbvVVybSfsRWn4gJJX+rqlMObslNU1ZfXHlzz9TElYjEeqv3Bz7wlg0WkdZAFvBDVb1eVUujsAumCdqPuDrce34h7hzLzt3NLizxYA4ocRJF5AXcZFmTgNbAj0UkzetaGs5+FuHuI324iNwq7rZOsUAJgKrOVNXvD/5emKbmAMVVMbhEhKquO+g7YZqcRsZVyDvpaituDhFUdQGu9Xk78CKQrqqLVXVFlHbFNDEHMLbCLY0VUdkR06TsbVzhhn2B+/7rLiKvAH8Ekr3W66xo7IdpWg5QXD0EZKhqpqquisZ+mKbPEg/mgFKnHNdl9GSvhebfgHiTRapXwT2Jm8F7OfAgcBQwHZijqtOiVHzTRB2guPpvlIpvmqi9iKu/A48BXQHE3SnlNOBuVT1OVddHax9M03SAYusES5KaSPsQV6ki0hvXA/DXwDxVPU9Vt0VtJ0yTY3FlDhZRm6PIHAAicituboZvVPXNiOUX4yYuWgJ8CUzD3crwJuB2Vd3hrRcDxGntSSXNIc7iyvjhAMTVWGCh7ryThTGAxZbxx/7ElYhkABOBpy2uTCSLK3OwWY8Hs1+8DOjtwCW4yWQeEJFrvAoJ3Gy2Y3AtOFuA64D1qnqNV3HFgLtvuV0cmjCLK+OHAxBX4dtnfmonWiaSxZbxw/7GFYCqZqvqQxZXJsziykRL7J5XMaZhXverU4F7VfVzESkGxuPuE/2iqk4PrysimcBJQImICK7Hjc12a3ZhcWX8cADiyu5UYeplsWX8cADiKlTfds2hzeLKRIv1eDD7THbex3c+cCKAN45+JTBIRPrX+ZfxQClQ5o0ns4rL7MLiyvjB4sr4xWLL+MHiyvjB4spEkyUeTKOFu697GU8iKp9VQIqIDPH+ngG0wU0+Ey8iV4rIYqAn8BtrjTaRLK6MHyyujF8stowfLK6MHyyuTFNiiQezRyJyvIi8CNwrIu3Vm5FUvNt/AXNxk86MF5FYVf0ON0P30apaCWwEfqqqV6lqdjT2wTQ9FlfGDxZXxi8WW8YPFlfGDxZXpimyxIPZLXG3y3kS+BzoATwoImcBqGqV93sVrstWH9xtdQAqgPXe89NV9auDXHTThFlcGT9YXBm/WGwZP1hcGT9YXJmmyhIPZk9GActU9QXgF8C3wLki0hlARH4vIpOABcDjwCgRWQBsBz6KTpFNM2BxZfxgcWX8YrFl/GBxZfxgcWWaJPF63hgDgIici8uOzlfVOV7W9GXgUlXdICKDgauAbcA83D197/cyp4hIayBWVfOjswemKbK4Mn6wuDJ+sdgyfrC4Mn6wuDLNhfV4MACISGcReR+4C2gHTBaR01V1DTAbuNhbdTmwFEgFMlX1MlVdJd4suapabBWXCbO4Mn6wuDJ+sdgyfrC4Mn6wuDLNjSUeTNgI4AtVPVFVHwQeA27wnvsCGCIio71ZbTcDJ6lqAbhb86jdXsfUz+LK+MHiyvjFYsv4weLK+MHiyjQrlng4hInIVSJyiogkAJ/iumWF5QErvMdfAwuBR7zuWIcD60UkCWrdmscYiyvjC4sr4xeLLeMHiyvjB4sr05zFRrsA5uASEQE6Aa8CIWA1cD1wm6pmiUicN+NtZ1y3LVR1K/CYiPQAnseNI7tKVUujsQ+m6bG4Mn6wuDJ+sdgyfrC4Mn6wuDIthSUeDiEiEqOqQRFJATar6hUiEgP8H/AscAGuQgM4DddlCxHJUHcP37uAVqpaFIXimybK4sr4weLK+MViy/jB4sr4weLKtCSWeDgEeBXUg0CMiEzFTS4TBPAqs9uALSJysqrOEJF4IAdYISJ/AM4RkVNUdQdgFZcBLK6MPyyujF8stowfLK6MHyyuTEtkczy0cCJyMu4+ve2AVbhKrAo4VURGQc04r98BD3j/lghcgxs7lgKM8youYwCLK+MPiyvjF4st4weLK+MHiyvTUlmPh5YvBPxVVV8GEJGjgF7A/cBTwNHibqfzLjBGRLoBXYBXgEdU9dvoFNs0cRZXxg8WV8YvFlvGDxZXxg8WV6ZFsh4PLd8C4E2vyxbAV8BhqvoCrvvWLV7WtBsQUtVNqjpXVa+yisvshsWV8YPFlfGLxZbxg8WV8YPFlWmRLPHQwqlqqapWqLuHL7iJZ3K8x9cCg0TkA+A1XEUXnj3XmAZZXBk/WFwZv1hsGT9YXBk/WFyZlsqGWhwivKypAh2BKd7iIuBu4AhgrapuBlBVjUohTbNjcWX8YHFl/GKxZfxgcWX8YHFlWhrr8XDoCAFxQC4w1MuU3ofrovVluOIyZi9ZXBk/WFwZv1hsGT9YXBk/WFyZFkUsQXboEJFjgFnez2RVnRTlIpkWwOLK+MHiyvjFYsv4weLK+MHiyrQklng4hHiz3l6Jm/G2ItrlMS2DxZXxg8WV8YvFlvGDxZXxg8WVaUks8WCMMcYYY4wxxhjf2BwPxhhjjDHGGGOM8Y0lHowxxhhjjDHGGOMbSzwYY4wxxhhjjDHGN5Z4MMYYY4wxxhhjjG8s8WCMMcYYY4wxxhjfWOLBGGOMMcYYY4wxvrHEgzHGGGOMMcYYY3zz/47QxjZXNVq7AAAAAElFTkSuQmCC\n"}, "metadata": {"needs_background": "light"}}]}, {"metadata": {}, "cell_type": "markdown", "source": "# 7\u3001EGARCH\u5efa\u6a21\n\n\u63a5\u4e0b\u6765\u5c31\u8fdb\u884cEGARCH\u5efa\u6a21"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "am_EGARCH = arch_model(training_egarch, mean='AR', vol='EGARCH', \n                       p=1, lags=3, o=1,q=1, dist='ged')\nres_EGARCH = am_EGARCH.fit(disp=False, options={'ftol': 1e-01})\nres_EGARCH.summary()", "execution_count": 24, "outputs": [{"output_type": "stream", "text": "Iteration:      1,   Func. Count:     11,   Neg. LLF: -1966.610328148909\n", "name": "stdout"}, {"output_type": "execute_result", "execution_count": 24, "data": {"text/plain": "<class 'statsmodels.iolib.summary.Summary'>\n\"\"\"\n                                AR - EGARCH Model Results                                 \n==========================================================================================\nDep. Variable:                         log_return   R-squared:                       0.009\nMean Model:                                    AR   Adj. R-squared:                  0.004\nVol Model:                                 EGARCH   Log-Likelihood:                1967.53\nDistribution:      Generalized Error Distribution   AIC:                          -3917.07\nMethod:                        Maximum Likelihood   BIC:                          -3876.91\n                                                    No. Observations:                  640\nDate:                            Fri, Jul 10 2020   Df Residuals:                      631\nTime:                                    02:12:54   Df Model:                            9\n                                    Mean Model                                   \n=================================================================================\n                     coef    std err          t      P>|t|       95.0% Conf. Int.\n---------------------------------------------------------------------------------\nConst         -7.6687e-05  3.108e-04     -0.247      0.805 [-6.858e-04,5.324e-04]\nlog_return[1]     -0.0948  6.888e-02     -1.376      0.169    [ -0.230,4.022e-02]\nlog_return[2]     -0.0250  7.064e-02     -0.354      0.723      [ -0.163,  0.113]\nlog_return[3] -6.9185e-03  5.236e-02     -0.132      0.895    [ -0.110,9.571e-02]\n                             Volatility Model                             \n==========================================================================\n                 coef    std err          t      P>|t|    95.0% Conf. Int.\n--------------------------------------------------------------------------\nomega         -0.1566      0.341     -0.459      0.646   [ -0.825,  0.512]\nalpha[1]       0.2000      0.266      0.752      0.452   [ -0.321,  0.721]\ngamma[1]      -0.1000  8.486e-02     -1.178      0.239 [ -0.266,6.631e-02]\nbeta[1]        0.9800  4.218e-02     23.232 2.175e-119   [  0.897,  1.063]\n                              Distribution                              \n========================================================================\n                 coef    std err          t      P>|t|  95.0% Conf. Int.\n------------------------------------------------------------------------\nnu             1.5000      0.353      4.244  2.200e-05 [  0.807,  2.193]\n========================================================================\n\nCovariance estimator: robust\n\"\"\"", "text/html": "<table class=\"simpletable\">\n<caption>AR - EGARCH Model Results</caption>\n<tr>\n  <th>Dep. Variable:</th>           <td>log_return</td>           <th>  R-squared:         </th>  <td>   0.009</td> \n</tr>\n<tr>\n  <th>Mean Model:</th>                  <td>AR</td>               <th>  Adj. R-squared:    </th>  <td>   0.004</td> \n</tr>\n<tr>\n  <th>Vol Model:</th>                 <td>EGARCH</td>             <th>  Log-Likelihood:    </th> <td>   1967.53</td>\n</tr>\n<tr>\n  <th>Distribution:</th>  <td>Generalized Error Distribution</td> <th>  AIC:               </th> <td>  -3917.07</td>\n</tr>\n<tr>\n  <th>Method:</th>              <td>Maximum Likelihood</td>       <th>  BIC:               </th> <td>  -3876.91</td>\n</tr>\n<tr>\n  <th></th>                              <td></td>                <th>  No. Observations:  </th>     <td>640</td>   \n</tr>\n<tr>\n  <th>Date:</th>                 <td>Fri, Jul 10 2020</td>        <th>  Df Residuals:      </th>     <td>631</td>   \n</tr>\n<tr>\n  <th>Time:</th>                     <td>02:12:54</td>            <th>  Df Model:          </th>      <td>9</td>    \n</tr>\n</table>\n<table class=\"simpletable\">\n<caption>Mean Model</caption>\n<tr>\n        <td></td>           <th>coef</th>      <th>std err</th>      <th>t</th>       <th>P>|t|</th>      <th>95.0% Conf. Int.</th>   \n</tr>\n<tr>\n  <th>Const</th>         <td>-7.6687e-05</td> <td>3.108e-04</td> <td>   -0.247</td> <td>    0.805</td> <td>[-6.858e-04,5.324e-04]</td>\n</tr>\n<tr>\n  <th>log_return[1]</th> <td>   -0.0948</td>  <td>6.888e-02</td> <td>   -1.376</td> <td>    0.169</td>   <td>[ -0.230,4.022e-02]</td> \n</tr>\n<tr>\n  <th>log_return[2]</th> <td>   -0.0250</td>  <td>7.064e-02</td> <td>   -0.354</td> <td>    0.723</td>    <td>[ -0.163,  0.113]</td>  \n</tr>\n<tr>\n  <th>log_return[3]</th> <td>-6.9185e-03</td> <td>5.236e-02</td> <td>   -0.132</td> <td>    0.895</td>   <td>[ -0.110,9.571e-02]</td> \n</tr>\n</table>\n<table class=\"simpletable\">\n<caption>Volatility Model</caption>\n<tr>\n      <td></td>        <th>coef</th>     <th>std err</th>      <th>t</th>        <th>P>|t|</th>    <th>95.0% Conf. Int.</th>  \n</tr>\n<tr>\n  <th>omega</th>    <td>   -0.1566</td> <td>    0.341</td> <td>   -0.459</td>  <td>    0.646</td>  <td>[ -0.825,  0.512]</td> \n</tr>\n<tr>\n  <th>alpha[1]</th> <td>    0.2000</td> <td>    0.266</td> <td>    0.752</td>  <td>    0.452</td>  <td>[ -0.321,  0.721]</td> \n</tr>\n<tr>\n  <th>gamma[1]</th> <td>   -0.1000</td> <td>8.486e-02</td> <td>   -1.178</td>  <td>    0.239</td> <td>[ -0.266,6.631e-02]</td>\n</tr>\n<tr>\n  <th>beta[1]</th>  <td>    0.9800</td> <td>4.218e-02</td> <td>   23.232</td> <td>2.175e-119</td>  <td>[  0.897,  1.063]</td> \n</tr>\n</table>\n<table class=\"simpletable\">\n<caption>Distribution</caption>\n<tr>\n   <td></td>     <th>coef</th>     <th>std err</th>      <th>t</th>       <th>P>|t|</th>   <th>95.0% Conf. Int.</th> \n</tr>\n<tr>\n  <th>nu</th> <td>    1.5000</td> <td>    0.353</td> <td>    4.244</td> <td>2.200e-05</td> <td>[  0.807,  2.193]</td>\n</tr>\n</table><br/><br/>Covariance estimator: robust"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "ARCH\u5e93\u63d0\u4f9b\u7684EGARCH\u6ce2\u52a8\u7387\u65b9\u7a0b\u63cf\u8ff0\u5982\u4e0b\uff1a\n\n$$\n\\ln ^{\\sigma_{l}^{2}}=\\omega_{0}+\\sum_{i=1}^{p} a_{1}\\left(\\left|e_{t-i}\\right|-\\sqrt{2 / \\pi}\\right)+\\sum_{j=1}^{o} \\gamma_{j} e_{t-j}+\\sum_{k=1}^{q} \\beta_{k} \\ln ^{\\sigma_{t-k}^{2}}\n$$\n\n\u4ee3\u5165$$\ne_{t}=^{\\varepsilon_{t}} / \\sigma_{t}\n$$\n\n\u53ef\u4ee5\u5f97\u5230\u6ce2\u52a8\u7387\u7684\u6761\u4ef6\u56de\u5f52\u65b9\u7a0b\u4e3a\uff1a\n\n$$\n\\ln ^{\\sigma_{t}^{2}}=-0.159799+0.100011\\left(\\left.\\right|^{\\varepsilon_{t-1}} / \\sigma_{t-1} \\mid-\\sqrt{2 / \\pi}\\right)-0.099991^{\\varepsilon_{t-1}} / \\sigma_{t-1}+0.98 \\ln ^{\\sigma_{t-1}^{2}}\n$$\n\n\u5176\u4e2d\uff0c\u5bf9\u79f0\u9879\u4f30\u8ba1\u7cfb\u6570\u03b3\u5c0f\u4e8e\u7f6e\u4fe1\u533a\u95f4\uff0c\u8bf4\u660e\u6bd4\u7279\u5e01\u7684\u6536\u76ca\u7387\u6ce2\u52a8\u5b58\u5728\u663e\u8457\u7684\u201c\u975e\u5bf9\u79f0\u6027\u201d\u3002\n\n\u7ed3\u5408\u62df\u5408\u7684\u9884\u6d4b\u6ce2\u52a8\u7387\uff0c\u4e0e\u6837\u672c\u7684\u5df2\u5b9e\u73b0\u6ce2\u52a8\u7387\u8fdb\u884c\u6bd4\u8f83\uff0c\u6548\u679c\u5982\u4e0b\uff1a"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "def recursive_forecast(pd_dataframe):     \n    window = 280\n    model = 'EGARCH'\n    index = kline_test[1:].index\n    end_loc = np.where(index >= kline_test.index[window])[0].min()\n    forecasts = {}\n    for i in range(len(kline_test[1:]) - window + 2):\n        mod = arch_model(pd_dataframe['log_return'][1:], mean='AR', vol=model, \n                         lags=3, p=2, o=0, q=1, dist='ged')\n        res = mod.fit(last_obs=i+end_loc, disp='off', options={'ftol': 1e03})\n        temp = res.forecast().variance\n        fcast = temp.iloc[i + end_loc - 1]\n        forecasts[fcast.name] = fcast\n\n    forecasts = pd.DataFrame(forecasts).T\n    pd_dataframe['recursive_{}'.format(model)] = forecasts['h.1']\n    evaluate(pd_dataframe, 'realized_volatility_1_hour', 'recursive_{}'.format(model))\n    pd_dataframe['recursive_{}'.format(model)]\n\nrecursive_forecast(kline_test)", "execution_count": 28, "outputs": [{"output_type": "stream", "text": "Mean Absolute Error (MAE): 0.0201\nMean Absolute Percentage Error (MAPE): 122\nRoot Mean Square Error (RMSE): 0.0279\n", "name": "stdout"}, {"output_type": "display_data", "data": {"text/plain": "<Figure size 1296x360 with 1 Axes>", "image/png": 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\n"}, "metadata": {"needs_background": "light"}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u53ef\u4ee5\u770b\u5230\uff0cEGARCH\u76f8\u6bd4\u8f83ARCH\u548cGARCH\u5bf9\u6ce2\u52a8\u66f4\u654f\u611f\uff0c\u5bf9\u6ce2\u52a8\u7387\u7684\u62df\u5408\u66f4\u51fa\u8272\u3002\n\n# 8\u3001\u6ce2\u52a8\u7387\u9884\u6d4b\u7684\u8bc4\u4ef7\n\n\u57fa\u4e8e\u6837\u672c\u9009\u62e9\u7684\u662f\u5c0f\u65f6\u6570\u636e\uff0c\u5411\u524d\u4e00\u6b65\u9884\u6d4b\u5373\u5411\u524d1\u4e2a\u5c0f\u65f6\uff0c\u6211\u4eec\u9009\u62e9\u4e09\u4e2a\u6a21\u578b\u524d10\u5c0f\u65f6\u7684\u9884\u6d4b\u6ce2\u52a8\u7387\uff0c\u4ee5RV\u4e3a\u57fa\u51c6\u6ce2\u52a8\u7387\uff0c\u6bd4\u8f83\u8bef\u5dee\u503c\u5982\u4e0b\uff1a"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "compare_ARCH_X = pd.DataFrame()\ncompare_ARCH_X['original']=kline_test['realized_volatility_1_hour']\n\ncompare_ARCH_X['arch']=kline_test['recursive_ARCH']\ncompare_ARCH_X['arch_diff']=compare_ARCH_X['original']-np.abs(compare_ARCH_X['arch'])\n\ncompare_ARCH_X['garch']=kline_test['recursive_GARCH']\ncompare_ARCH_X['garch_diff']=compare_ARCH_X['original']-np.abs(compare_ARCH_X['garch'])\n\ncompare_ARCH_X['egarch']=kline_test['recursive_EGARCH']\ncompare_ARCH_X['egarch_diff']=compare_ARCH_X['original']-np.abs(compare_ARCH_X['egarch'])\ncompare_ARCH_X = compare_ARCH_X[280:]\ncompare_ARCH_X.head(10)", "execution_count": 29, "outputs": [{"output_type": "execute_result", "execution_count": 29, "data": {"text/plain": "                           original      arch  arch_diff     garch  \\\ndate                                                                 \n2020-03-13 04:00:00+08:00  0.039796  0.000410   0.039386  0.019046   \n2020-03-13 05:00:00+08:00  0.037765  0.000173   0.037591  0.003011   \n2020-03-13 06:00:00+08:00  0.034429  0.000156   0.034273  0.002956   \n2020-03-13 07:00:00+08:00  0.133740  0.004234   0.129506  0.034791   \n2020-03-13 08:00:00+08:00  0.070220  0.000394   0.069825  0.190576   \n2020-03-13 09:00:00+08:00  0.064249  0.006472   0.057777  0.066352   \n2020-03-13 10:00:00+08:00  0.177593  0.005037   0.172556  0.102359   \n2020-03-13 11:00:00+08:00  0.081091  0.001535   0.079556  0.022981   \n2020-03-13 12:00:00+08:00  0.059117  0.005636   0.053481  0.008225   \n2020-03-13 13:00:00+08:00  0.046963  0.000966   0.045997  0.047651   \n\n                           garch_diff    egarch  egarch_diff  \ndate                                                          \n2020-03-13 04:00:00+08:00    0.020750  0.000354     0.039442  \n2020-03-13 05:00:00+08:00    0.034754  0.000401     0.037364  \n2020-03-13 06:00:00+08:00    0.031473  0.000340     0.034089  \n2020-03-13 07:00:00+08:00    0.098949  0.091072     0.042668  \n2020-03-13 08:00:00+08:00   -0.120357  0.069111     0.001109  \n2020-03-13 09:00:00+08:00   -0.002103  0.011460     0.052789  \n2020-03-13 10:00:00+08:00    0.075234  0.130532     0.047061  \n2020-03-13 11:00:00+08:00    0.058110  0.074742     0.006349  \n2020-03-13 12:00:00+08:00    0.050892  0.212941    -0.153824  \n2020-03-13 13:00:00+08:00   -0.000689  0.176024    -0.129062  ", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>original</th>\n      <th>arch</th>\n      <th>arch_diff</th>\n      <th>garch</th>\n      <th>garch_diff</th>\n      <th>egarch</th>\n      <th>egarch_diff</th>\n    </tr>\n    <tr>\n      <th>date</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>2020-03-13 04:00:00+08:00</td>\n      <td>0.039796</td>\n      <td>0.000410</td>\n      <td>0.039386</td>\n      <td>0.019046</td>\n      <td>0.020750</td>\n      <td>0.000354</td>\n      <td>0.039442</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 05:00:00+08:00</td>\n      <td>0.037765</td>\n      <td>0.000173</td>\n      <td>0.037591</td>\n      <td>0.003011</td>\n      <td>0.034754</td>\n      <td>0.000401</td>\n      <td>0.037364</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 06:00:00+08:00</td>\n      <td>0.034429</td>\n      <td>0.000156</td>\n      <td>0.034273</td>\n      <td>0.002956</td>\n      <td>0.031473</td>\n      <td>0.000340</td>\n      <td>0.034089</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 07:00:00+08:00</td>\n      <td>0.133740</td>\n      <td>0.004234</td>\n      <td>0.129506</td>\n      <td>0.034791</td>\n      <td>0.098949</td>\n      <td>0.091072</td>\n      <td>0.042668</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 08:00:00+08:00</td>\n      <td>0.070220</td>\n      <td>0.000394</td>\n      <td>0.069825</td>\n      <td>0.190576</td>\n      <td>-0.120357</td>\n      <td>0.069111</td>\n      <td>0.001109</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 09:00:00+08:00</td>\n      <td>0.064249</td>\n      <td>0.006472</td>\n      <td>0.057777</td>\n      <td>0.066352</td>\n      <td>-0.002103</td>\n      <td>0.011460</td>\n      <td>0.052789</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 10:00:00+08:00</td>\n      <td>0.177593</td>\n      <td>0.005037</td>\n      <td>0.172556</td>\n      <td>0.102359</td>\n      <td>0.075234</td>\n      <td>0.130532</td>\n      <td>0.047061</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 11:00:00+08:00</td>\n      <td>0.081091</td>\n      <td>0.001535</td>\n      <td>0.079556</td>\n      <td>0.022981</td>\n      <td>0.058110</td>\n      <td>0.074742</td>\n      <td>0.006349</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 12:00:00+08:00</td>\n      <td>0.059117</td>\n      <td>0.005636</td>\n      <td>0.053481</td>\n      <td>0.008225</td>\n      <td>0.050892</td>\n      <td>0.212941</td>\n      <td>-0.153824</td>\n    </tr>\n    <tr>\n      <td>2020-03-13 13:00:00+08:00</td>\n      <td>0.046963</td>\n      <td>0.000966</td>\n      <td>0.045997</td>\n      <td>0.047651</td>\n      <td>-0.000689</td>\n      <td>0.176024</td>\n      <td>-0.129062</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "compare_ARCH_X_diff = pd.DataFrame(index=['ARCH','GARCH','EGARCH'], columns=['head 1 step', 'head 10 steps', 'head 100 steps'])\ncompare_ARCH_X_diff['head 1 step']['ARCH'] = compare_ARCH_X['arch_diff']['2020-03-13 04:00:00+08:00']\ncompare_ARCH_X_diff['head 10 steps']['ARCH'] = np.mean(compare_ARCH_X['arch_diff'][:10])\ncompare_ARCH_X_diff['head 100 steps']['ARCH'] = np.mean(compare_ARCH_X['arch_diff'][:100])\ncompare_ARCH_X_diff['head 1 step']['GARCH'] = compare_ARCH_X['garch_diff']['2020-03-13 04:00:00+08:00']\ncompare_ARCH_X_diff['head 10 steps']['GARCH'] = np.mean(compare_ARCH_X['garch_diff'][:10])\ncompare_ARCH_X_diff['head 100 steps']['GARCH'] = np.mean(compare_ARCH_X['garch_diff'][:100])\ncompare_ARCH_X_diff['head 1 step']['EGARCH'] = compare_ARCH_X['egarch_diff']['2020-03-13 04:00:00+08:00']\ncompare_ARCH_X_diff['head 10 steps']['EGARCH'] = np.mean(compare_ARCH_X['egarch_diff'][:10])\ncompare_ARCH_X_diff['head 100 steps']['EGARCH'] = np.abs(np.mean(compare_ARCH_X['egarch_diff'][:100]))\ncompare_ARCH_X_diff", "execution_count": 30, "outputs": [{"output_type": "execute_result", "execution_count": 30, "data": {"text/plain": "       head 1 step head 10 steps head 100 steps\nARCH     0.0393856     0.0719949       0.028944\nGARCH      0.02075     0.0247013      0.0218469\nEGARCH   0.0394424   -0.00220146     0.00703015", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>head 1 step</th>\n      <th>head 10 steps</th>\n      <th>head 100 steps</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>ARCH</td>\n      <td>0.0393856</td>\n      <td>0.0719949</td>\n      <td>0.028944</td>\n    </tr>\n    <tr>\n      <td>GARCH</td>\n      <td>0.02075</td>\n      <td>0.0247013</td>\n      <td>0.0218469</td>\n    </tr>\n    <tr>\n      <td>EGARCH</td>\n      <td>0.0394424</td>\n      <td>-0.00220146</td>\n      <td>0.00703015</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u505a\u4e86\u51e0\u6b21\u8bd5\u9a8c\uff0c\u5728\u524d1\u4e2a\u5c0f\u65f6\u9884\u6d4b\u7ed3\u679c\u91cc\uff0cEGARCH\u7684\u8bef\u5dee\u6700\u5c0f\u7684\u51e0\u7387\u6bd4\u8f83\u5927\uff0c\u4f46\u6574\u4f53\u5dee\u5f02\u4e0d\u662f\u7279\u522b\u660e\u663e\uff1b\u77ed\u671f\u9884\u6d4b\u6548\u679c\u91cc\u6709\u4e00\u5b9a\u660e\u663e\u533a\u522b\uff1b\u5728\u957f\u671f\u9884\u6d4b\u91cc\uff0c EGARCH\u7684\u9884\u6d4b\u80fd\u529b\u6700\u7a81\u51fa"}, {"metadata": {"trusted": true}, "cell_type": "code", "source": "compare_ARCH_X = pd.DataFrame()\ncompare_ARCH_X['Model'] = ['ARCH','GARCH','EGARCH']\ncompare_ARCH_X['RMSE'] = [get_rmse(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_ARCH'][280:320]),\n                          get_rmse(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_GARCH'][280:320]),\n                          get_rmse(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_EGARCH'][280:320])]\ncompare_ARCH_X['MAPE'] = [get_mape(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_ARCH'][280:320]),\n                          get_mape(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_GARCH'][280:320]),\n                          get_mape(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_EGARCH'][280:320])]\ncompare_ARCH_X['MASE'] = [get_mape(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_ARCH'][280:320]),\n                          get_mape(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_GARCH'][280:320]),\n                          get_mape(kline_test['realized_volatility_1_hour'][280:320],kline_test['recursive_EGARCH'][280:320])]\n\ncompare_ARCH_X", "execution_count": 31, "outputs": [{"output_type": "execute_result", "execution_count": 31, "data": {"text/plain": "    Model      RMSE       MAPE       MASE\n0    ARCH  0.051855  97.772640  97.772640\n1   GARCH  0.041761  82.338067  82.338067\n2  EGARCH  0.044885  82.598753  82.598753", "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Model</th>\n      <th>RMSE</th>\n      <th>MAPE</th>\n      <th>MASE</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>0</td>\n      <td>ARCH</td>\n      <td>0.051855</td>\n      <td>97.772640</td>\n      <td>97.772640</td>\n    </tr>\n    <tr>\n      <td>1</td>\n      <td>GARCH</td>\n      <td>0.041761</td>\n      <td>82.338067</td>\n      <td>82.338067</td>\n    </tr>\n    <tr>\n      <td>2</td>\n      <td>EGARCH</td>\n      <td>0.044885</td>\n      <td>82.598753</td>\n      <td>82.598753</td>\n    </tr>\n  </tbody>\n</table>\n</div>"}, "metadata": {}}]}, {"metadata": {}, "cell_type": "markdown", "source": "\u4ece\u6307\u6807\u4e0a\u770b\uff0cGARCH\u548cEGARCH\u76f8\u5bf9ARCH\u6765\u8bf4\u6709\u4e00\u5b9a\u63d0\u5347\uff0c\u4f46\u5dee\u8ddd\u4e5f\u4e0d\u662f\u7279\u522b\u660e\u663e\u3002\u5728\u591a\u6837\u672c\u533a\u95f4\u9009\u62e9\u548c\u9a8c\u8bc1\u540e\uff0cEGARCH\u7684\u6027\u80fd\u4f1a\u66f4\u4f18\u4e00\u4e9b\uff0c\u8fd9\u4e5f\u662f\u4e3b\u8981\u56e0\u4e3aEGARCH\u5f88\u597d\u5730\u89e3\u91ca\u4e86\u6837\u672c\u6240\u5448\u73b0\u51fa\u7684\u5f02\u65b9\u5dee\u7279\u6027\u3002\n\n# 9\u3001\u7ed3\u8bba\n\n\u901a\u8fc7\u4ee5\u4e0a\u7b80\u5355\u7684\u5206\u6790\uff0c\u53ef\u4ee5\u53d1\u73b0\u6bd4\u7279\u5e01\u7684\u5bf9\u6570\u6536\u76ca\u7387\u4e0d\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff0c\u5448\u5c16\u5cf0\u539a\u5c3e\u7684\u7279\u5f81\uff0c\u4e14\u6ce2\u52a8\u5177\u6709\u805a\u96c6\u73b0\u8c61\u548c\u6760\u6746\u6548\u5e94\uff0c\u540c\u65f6\u5448\u73b0\u660e\u663e\u7684\u6761\u4ef6\u5f02\u65b9\u6027\u3002\n\n\u5728\u5bf9\u5bf9\u6570\u6536\u76ca\u7387\u7684\u9884\u6d4b\u8bc4\u4ef7\u91cc\uff0cARMA\u6a21\u578b\u7684\u6837\u672c\u5185\u9759\u6001\u9884\u6d4b\u80fd\u529b\u8981\u660e\u663e\u597d\u4e8e\u52a8\u6001\uff0c\u53ef\u89c1\u6eda\u52a8\u7684\u65b9\u5f0f\u660e\u663e\u4f18\u4e8e\u8fed\u4ee3\u65b9\u5f0f\uff0c\u4e14\u53ef\u4ee5\u907f\u514d\u8fc7\u5ea6\u62df\u5408\u548c\u8bef\u5dee\u653e\u5927\u7684\u95ee\u9898\u3002\u6837\u672c\u5916\u7684\u6536\u76ca\u7387\u5f88\u96be\u9884\u6d4b\uff0c\u6ee1\u8db3\u4e86\u5e02\u573a\u7684\u5f31\u6709\u6548\u6027\u5047\u8bbe\u3002\n\n\u6b64\u5916\uff0c\u5728\u5904\u7406\u6bd4\u7279\u5e01\u7684\u539a\u5c3e\u73b0\u8c61\u65f6\uff0c\u5373\u6536\u76ca\u7387\u7684\u539a\u5c3e\u5206\u5e03\u65f6\uff0c\u53d1\u73b0GED\uff08\u5e7f\u4e49\u8bef\u5dee\uff09\u5206\u5e03\u660e\u663e\u4f18\u4e8et\u5206\u5e03\u548c\u6b63\u6001\u5206\u5e03\uff0c\u53ef\u4ee5\u63d0\u5347\u5bf9\u5c3e\u90e8\u98ce\u9669\u7684\u5ea6\u91cf\u7cbe\u5ea6\u3002\u540c\u65f6\uff0c\u5728\u9884\u6d4b\u6ce2\u52a8\u6027\u4e0a\uff0cEGARCH\u5bf9\u957f\u671f\u7684\u6ce2\u52a8\u7387\u9884\u6d4b\u66f4\u6709\u4f18\u52bf\uff0c\u5f88\u597d\u5730\u89e3\u91ca\u4e86\u6837\u672c\u6240\u5448\u73b0\u51fa\u7684\u5f02\u65b9\u5dee\u7279\u6027\u3002\u6a21\u578b\u62df\u5408\u4e2d\u7684\u5bf9\u79f0\u9879\u4f30\u8ba1\u7cfb\u6570\u5c0f\u4e8e\u7f6e\u4fe1\u533a\u95f4\uff0c\u8bf4\u660e\u6bd4\u7279\u5e01\u7684\u6536\u76ca\u7387\u6ce2\u52a8\u5b58\u5728\u663e\u8457\u7684\u201c\u975e\u5bf9\u79f0\u6027\u201d\u3002\n\n\u6574\u4e2a\u5efa\u6a21\u8fc7\u7a0b\u5145\u6ee1\u4e86\u5404\u79cd\u5927\u80c6\u7684\u5047\u8bbe\uff0c\u5e76\u4e14\u4f9d\u8d56\u6709\u6548\u6027\u4e5f\u6ca1\u6709\u505a\u4e00\u81f4\u6027\u8bc6\u522b\uff0c\u56e0\u6b64\u53ea\u80fd\u5bf9\u4e00\u4e9b\u73b0\u8c61\u505a\u5c0f\u5fc3\u7684\u6c42\u8bc1\u3002\u5386\u53f2\u53ea\u80fd\u5728\u7edf\u8ba1\u4e0a\u53bb\u652f\u6301\u5bf9\u9884\u6d4b\u672a\u6765\u7684\u6982\u7387\uff0c\u4f46\u51c6\u786e\u7387\u548c\u6027\u4ef7\u6bd4\u8fd8\u6709\u5f88\u957f\u7684\u8def\u8981\u8d70\u3002\n\n\u5bf9\u6bd4\u4f20\u7edf\u5e02\u573a\uff0c\u6bd4\u7279\u5e01\u7684\u9ad8\u9891\u6570\u636e\u53ef\u5f97\u6027\u66f4\u5bb9\u6613\uff0c\u57fa\u4e8e\u9ad8\u9891\u6570\u636e\u5bf9\u5176\u5404\u7c7b\u6307\u6807\u7684\u201c\u5df2\u5b9e\u73b0\u201d\u6d4b\u5ea6\u5c31\u53d8\u5f97\u7b80\u5355\u4e14\u91cd\u8981\u3002\u5982\u679c\u975e\u53c2\u6570\u7684\u6d4b\u5ea6\u53ef\u4ee5\u4e3a\u5df2\u53d1\u751f\u884c\u60c5\u63d0\u4f9b\u5feb\u901f\u89c2\u6d4b\uff0c\u6709\u53c2\u6570\u7684\u6d4b\u5ea6\u53ef\u4ee5\u63d0\u9ad8\u6a21\u578b\u7684\u8f93\u5165\u7cbe\u5ea6\uff0c\u90a3\u4e48\u5c06\u5df2\u5b9e\u73b0\u7684\u975e\u53c2\u6570\u6d4b\u5ea6\u4f5c\u4e3a\u6a21\u578b\u7684\u201c\u8d85\u53c2\u201d\uff0c\u6216\u8bb8\u80fd\u5efa\u7acb\u66f4\u201c\u5b8c\u6574\u201d\u7684\u6a21\u578b\u3002\n\n\u4f46\u4ee5\u4e0a\u4ec5\u4ec5\u9650\u4e8e\u7406\u8bba\u4e0aYY\uff0c\u66f4\u9ad8\u9891\u7684\u6570\u636e\u786e\u5b9e\u53ef\u4ee5\u63d0\u4f9b\u66f4\u7cbe\u51c6\u7684\u4ea4\u6613\u8005\u884c\u4e3a\u5206\u6790\uff0c\u4e0d\u4ec5\u80fd\u4e3a\u91d1\u878d\u7406\u8bba\u6a21\u578b\u63d0\u4f9b\u66f4\u53ef\u9760\u7684\u68c0\u9a8c\uff0c\u8fd8\u80fd\u4e3a\u4ea4\u6613\u8005\u63d0\u4f9b\u66f4\u4e30\u5bcc\u7684\u51b3\u7b56\u4fe1\u606f\uff0c\u751a\u81f3\u652f\u6491\u5bf9\u4fe1\u606f\u6d41\u548c\u8d44\u91d1\u6d41\u7684\u9884\u5224\uff0c\u8f85\u52a9\u8bbe\u8ba1\u51fa\u66f4\u52a0\u7cbe\u5bc6\u7684\u91cf\u5316\u4ea4\u6613\u7b56\u7565\u3002\u800c\u6bd4\u7279\u5e01\u7684\u5e02\u573a\u6ce2\u52a8\u5982\u6b64\u4e4b\u5927\uff0c\u592a\u957f\u7684\u5386\u53f2\u6570\u636e\u53cd\u800c\u65e0\u6cd5\u62df\u5408\u51fa\u6709\u6548\u7684\u51b3\u7b56\u4fe1\u606f\uff0c\u6240\u4ee5\u9ad8\u9891\u6570\u636e\u5fc5\u7136\u80fd\u4e3a\u6570\u5b57\u8d27\u5e01\u7684\u6295\u8d44\u8005\u5e26\u6765\u66f4\u5f3a\u7684\u5e02\u573a\u4f18\u52bf\u3002\n\n\u6700\u540e\uff0c\u611f\u8c22FMZ\u8fd9\u4e2a\u5e73\u53f0\uff0c\u63d0\u4f9b\u4e86\u6211\u4e00\u4e2a\u4e0d\u7528\u91cd\u590d\u9020\u8f6e\u5b50\u5c31\u53ef\u4ee5\u76f4\u63a5\u505a\u7231\u505a\u7684\u4e8b\u7684\u4fbf\u5229\u3002\u867d\u7136\u8fd9\u5e73\u53f0\u6709\u592a\u591a\u7684\u69fd\u70b9\uff0c\u592a\u591a\u7684\u53cd\u4eba\u7c7b\u8bbe\u8ba1\uff0c\u592a\u591a\u4e86\u76f4\u7537\u764c\u54c1\u5473\uff0c\u4f46\u603b\u7684\u6765\u8bf4\uff0c\u8fd9\u4e5f\u521a\u597d\u5339\u914d\u4e86\u8d85\u603b\u8eab\u4e0a\u6240\u6563\u53d1\u51fa\u6765\u7684\u72ec\u7279\u9b45\u529b\uff0c\u5e0c\u671b\u80fd\u4e0eFMZ\u4e00\u540c\u5728\u5e01\u5708\u5b66\uff08tang\uff09\u4e60\uff08zhe\uff09\u8fdb\uff08Kui\uff09\u6b65\uff08qian\uff09\uff0c\u4ee5\u540e\u5439\u725b\u903c\u4e5f\u53ef\u4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BTC \u8bf7\u6211\u559d\u676f\u80a5\u5b85\u5feb\u4e50\u6c34\uff0c\u5496\u5561\u5c31\u4e0d\u5fc5\u4e86\uff0c\u559d\u4e86\u6211\u4f1a\u7761\u7740\u00b7\u00b7\u00b7\u00b7\n\n![btc.png](https://www.fmz.com/upload/asset/1205c5b0247812c67dddf.png)\n\n\u6216\u8005\u5173\u6ce8\u652f\u6301\u4e0b\u6211\u7684\u7b56\u7565\uff1a[\u3010\u9650\u514d+\u8d85\u503c\u670d\u52a1\u5668\u6d3b\u52a8\u3011\u7f51\u683c\u5154 - \u65e0\u9650\u7f51\u683c\u591a\u7a7a\u91cf\u5316\u4ea4\u6613\u673a\u5668\u4eba\uff08\u73b0\u8d27\u7248\u672c\uff09](https://www.fmz.com/strategy/173768)"}], "metadata": {"kernelspec": {"name": "python3", "display_name": "Python 3", "language": "python"}, "language_info": {"name": "python", "version": "3.6.8", "mimetype": "text/x-python", "codemirror_mode": {"name": "ipython", "version": 3}, "pygments_lexer": "ipython3", "nbconvert_exporter": "python", "file_extension": ".py"}, "toc": {"base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {"height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "228px"}, "toc_section_display": true, "toc_window_display": true}}, "nbformat": 4, "nbformat_minor": 2}