Z-Score Price Breakout Strategy

Author: ChaoZhang, Date: 2023-12-07 15:17:43



The Z-Score price breakout strategy uses the z-score indicator of price to determine whether the current price is in an abnormal state, so as to generate trading signals. When the z-score of price is higher or lower than a threshold, it means the price has entered an abnormal state, at which point long or short positions can be taken.

Strategy Principle

The core indicator of this strategy is the z-score of price, calculated as follows:

Z_score = (C - SMA(n)) / StdDev(C,n)

Where C is the closing price, SMA(n) is the simple moving average of n periods, and StdDev(C,n) is the standard deviation of closing price for n periods.

The z-score reflects the degree of deviation of the current price from the average price. When the price z-score is greater than a certain positive threshold (e.g. +2), it means the current price is above the average price by 2 standard deviations, which is a relatively high level. When it is less than a certain negative threshold (e.g. -2), it means the current price is below the average price by 2 standard deviations, which is a relatively low level.

This strategy first calculates the z-score of price, then sets a positive and negative threshold (e.g. 0 and 0). When the z-score is higher than the positive threshold, it generates a buy signal. When lower than the negative threshold, it generates a sell signal.

Advantage Analysis

  • Using price z-score to judge price anomalies is a common and effective quantitative method
  • Easily achieve both long and short trading
  • Flexible parameter settings, adjustable cycle, threshold, etc.
  • Can be combined with other indicators to form a trading system

Risk Analysis

  • The z-score strategy is crude and prone to false signals
  • Need to set appropriate parameters like cycle and threshold
  • Need to consider stop loss strategies to control risk

Optimization Directions

  • Optimize cycle parameters to find the best cycle
  • Optimize positive and negative thresholds to reduce false signals
  • Add filter conditions, combine with other indicators
  • Add stop loss strategies


The z-score price breakout strategy judges whether the current price is in an abnormal state, and trades according to the positive and negative of the price z-score. This strategy is simple and easy to implement, allows two-way trading, but also has some risks. By optimizing parameters, adding stop loss and combining with other indicators, this strategy can be enhanced to form a complete quantitative trading system.

start: 2023-11-29 00:00:00
end: 2023-12-04 19:00:00
period: 15m
basePeriod: 5m
exchanges: [{"eid":"Futures_Binance","currency":"BTC_USDT"}]

//  Copyright by HPotter v1.0 18/01/2017
// The author of this indicator is Veronique Valcu. The z-score (z) for a data 
// item x measures the distance (in standard deviations StdDev) and direction 
// of the item from its mean (U):
//     z = (x-StdDev) / U
// A value of zero indicates that the data item x is equal to the mean U, while 
// positive or negative values show that the data item is above (x>U) or below 
// (x Values of +2 and -2 show that the data item is two standard deviations 
// above or below the chosen mean, respectively, and over 95.5% of all data 
// items are contained within these two horizontal references (see Figure 1).
// We substitute x with the closing price C, the mean U with simple moving 
// average (SMA) of n periods (n), and StdDev with the standard deviation of 
// closing prices for n periods, the above formula becomes:
//     Z_score = (C - SMA(n)) / StdDev(C,n)
// The z-score indicator is not new, but its use can be seen as a supplement to 
// Bollinger bands. It offers a simple way to assess the position of the price 
// vis-a-vis its resistance and support levels expressed by the Bollinger Bands. 
// In addition, crossings of z-score averages may signal the start or the end of 
// a tradable trend. Traders may take a step further and look for stronger signals 
// by identifying common crossing points of z-score, its average, and average of average. 
// You can change long to short in the Input Settings
// Please, use it only for learning or paper trading. Do not for real trading.
strategy(title="Z-Score Strategy", shorttitle="Z-Score Strategy")
Period = input(20, minval=1)
Trigger = input(0)
reverse = input(false, title="Trade reverse")
hline(Trigger, color=purple, linestyle=line)
xStdDev = stdev(close, Period)
xMA = sma(close, Period)
nRes = (close - xMA) / xStdDev
pos = iff(nRes > Trigger, 1,
	   iff(nRes < Trigger, -1, nz(pos[1], 0))) 
possig = iff(reverse and pos == 1, -1,
          iff(reverse and pos == -1, 1, pos))	   
if (possig == 1) 
    strategy.entry("Long", strategy.long)
if (possig == -1)
    strategy.entry("Short", strategy.short)	   	    
barcolor(possig == -1 ? red: possig == 1 ? green : blue )
plot(nRes, color=blue, title="Z-Score")