Improving your trading performances using Divergences

A divergence happens when some technical indicators contradict the price movement. That allows for anticipating a trend reversal. This post will show you how to trade bullish and bearish divergences. I will provide you the source code of an indicator, a trading system, and a screener working on the Prorealtime platform. You will get all the essential tools to use divergences better on the market.

Table of Contents

1. What is a divergence in the market?
   1. Bullish divergence
   2. Bearish divergence
2. How to use divergences in trading?
3. How to detect a divergence in the market?
   1. What Indicators to use for divergence detection?
   2. Code of the divergence indicator for Prorealtime
   3. Example of divergence detections
4. Automated divergence strategy
   1. Buying signal in a bullish divergence
   2. Code of a divergence strategy for Prorealtime
   3. Example of an automated entry opening
   4. Backtest of the divergence strategy
5. Improve your swing trading performance thanks to divergences
   1. Breakout and Divergences
   2. Pullback and Divergences
   3. Swing trading and divergence conclusions
6. How do we use divergence to invest better?
7. Find the best opportunities thanks to a divergence screener
   1. Code of the divergence screener for Prorealtime
   2. Example of the divergence screener execution
8. Risks associated with divergence trading
9. Divergence trading summary
10. Range Breakout Indicator for Prorealtime

What is a divergence in the market?

A divergence is a contradiction between a trend and a strength indicator. For example, this contradiction can appear between the direction of a moving average and a relative strength index. For example, there is a divergence if the 50-period moving average is bullish while the 50-period relative strength index is bearish. The divergence occurring means the current trend is running out, even reversing. A divergence can be bullish or bearish.

Bullish divergence

A bullish divergence occurs when a strength indicator becomes bullish while the trend is bearish. That presupposes the beginning of a new uptrend. The following chart shows a bullish divergence between the trend and the RSI on the S&P 500:

Bearish divergence

A bearish divergence appears when a strength indicator becomes bearish while the trend is still bullish. That presupposes the beginning of a new downtrend. The following chart shows a bearish divergence between the trend and the RSI on the Dow Jones:

How to use divergences in trading?

You can use divergences to open a new long or short entry or to close an opening entry. Here is how to use bullish and bearish divergences:

Bullish divergences

• A bullish divergence indicates a new uptrend will maybe start. When it appears, you can begin to search for a buying signal. If you have an opened short entry, it may be time to close your position or secure the latent gain by lowering your stop loss.

Bearish divergences

• A bearish divergence indicates a downtrend will maybe start. When it appears, you can search for a sell short signal. If you have an opened long entry, it may be time to close your position or secure the latent gain by pulling up your stop loss.

How to detect a divergence in the market?

Several ways allow measuring divergence with an indicator. You can use any trend indicators with any strength indicators. You can measure the trend using the slope of a moving average or a linear regression and the strength with an RSI.

What Indicators to use for divergence detection?

Here are the primary trend and strength indicators you can use to detect a divergence:

Trend Indicators	Strength Indicator
Moving averages Exponential moving average Moving average Convergence divergence Parabolic stop and reverse Linear & polynomial regression	Relative strength index Average directional index Stochastic momentum Index True Strength Index Commodity channel index

Code of the divergence indicator for Prorealtime

To create a divergence indicator, you will need a trend and strength indicator. I decided to measure the trend with linear regression and the strength with a Relative Strength Index.

Here is the source code of the divergence indicator working on the Prorealtime platform. This indicator will return 1 in case of bullish divergence, -1 in case of bearish divergence, and 0 in other cases:

//------------------------------------------//
// * DIVERGENCE INDICATOR FOR PROREALTIME * //
// Author: Vivien SCHMITT
// Website: http://artificall.com
//------------------------------------------//

// INITIALIZATION
divergenceWidth = 50
DIVERGENCE = 0

// INDICATOR CALCULATIONS
trend = linearregressionslope[divergenceWidth](close)
strength = linearregressionslope[divergenceWidth](rsi[14])

// DIVERGENCE DETECTION
IF trend < 0 and strength > 0 THEN
  // BULLISH DIVERGENCE
  DIVERGENCE = 1
ELSIF trend > 0 and strength < 0 THEN
  // BEARISH DIVERGENCE
  DIVERGENCE = -1
ELSE
  // NO DIVERGENCE
  DIVERGENCE = 0
ENDIF

// DIVERGENCE PRINTING
return DIVERGENCE

Example of divergence detections

Here is an example of bullish and bearish recognition on the S&P 500 index in the weekly timeframe:

You can see on the previous chart the shortness of the relative strength index makes a bearish divergence predating the 2008 crash. In 2009 Mai, the RSI became positive again, followed by the beginning of a new uptrend.

Automated divergence strategy

A divergence is a market state that presupposes a change in the market trend. The previous divergence indicator works well but is insufficient to open an entry. When you detect a divergence, you have to search for a buying or sell-shorting signal before opening an entry. You can try a simple signal like a moving average crossing or a more complex signal like a range breakout or a pullback.

I will present how to use the divergence indicator in an automated trading strategy. To simplify the example, I will open an entry by using a moving average crossing that I associate with a divergence.

Buying signal in a bullish divergence

I will use the Gold Cross signal to operate the bullish divergences. A gold cross is a bullish crossing of a 50-period moving average with a 200-period moving average. To have more signals, I will also add the 50-period crossing with the 100-period.

MM50 = average[50]
MM100 = average[100]
MM200 = average[200]

GoldCross = MM50 CROSSES OVER MM100 OR MM50 CROSSES OVER MM200

Opening a long entry in a bullish divergence context needs the satisfaction of two conditions: the divergence indicator must return 1, and a gold cross must occur.

Code of a divergence strategy for Prorealtime

Here is the source code of the automated strategy exploiting bullish divergences. The following code is runnable on the Prorealtime platform:

DEFPARAM CUMULATEORDERS = true

// * MONEY MANAGEMENT
maxCapital = 20000
entrySize = 1000
numberShare = max(1, floor(entrySize / close))
nextPosition = numberShare * close

condiTionMaxCapital = (investedCapital + nextPosition) < maxCapital

stoplossPercent = 20
targetPercent = stoplossPercent * 3


// * DIVERGENCE CALCULATION * //
// INITIALIZATION
divergenceWidth = 100 //50
DIVERGENCE = 0

// INDICATOR CALCULATIONS
trend = linearregressionslope[divergenceWidth](close)
strength = linearregressionslope[divergenceWidth](rsi[14])

// DIVERGENCE DETECTION
IF trend < 0 and strength > 0 THEN
  // BULLISH DIVERGENCE
  DIVERGENCE = 1
ELSIF trend > 0 and strength < 0 THEN
  // BEARISH DIVERGENCE
  DIVERGENCE = -1
ELSE
  // NO DIVERGENCE
  DIVERGENCE = 0
ENDIF


// * LONG SIGNALS * //
// signal indicators
MM50 = average[50]
MM100 = average[100]
MM200 = average[200]

GoldCross = MM50 CROSSES OVER MM100 OR MM50 CROSSES OVER MM200


// * ENTRY OPENING * //
IF DIVERGENCE = 1 AND GoldCross AND condiTionMaxCapital THEN
  BUY numberShare SHARES AT MARKET
  SET STOP %LOSS stoplossPercent
  SET TARGET %PROFIT targetPercent
ENDIF


// * Invested capital update * //
IF COUNTOFPOSITION[1] <> COUNTOFPOSITION THEN
  IF positionprice <> 0 THEN
    investedCapital = investedCapital + positionprice * numberShare
  ELSE
    investedCapital = 0
  ENDIF
ENDIF

Example of an automated entry opening

Here is an example of a long entry opening on the Dow Jones after the occurrence of a gold cross in a bullish divergence context:

Backtest of the divergence strategy

Here is the result of this strategy on the SPDR Dow Jones Industrial Average ETF in a daily time frame:

You will note on the previous chart that a bear market has not followed numerous bearish divergences. That comes from a bullish bias on the American indexes. Most of the time, the bearish divergences are followed by a consolidation. That is why I have not found a robust sell-short strategy using bearish divergences.

If you are interested in automated trading strategy, I have written a complete guide in which I present the most important concepts for developing a robust trading system. You can download the guide for free on this page: Seven Pillars to Build a Winner Prorealtime Bot

Improve your swing trading performance thanks to divergences

The divergences are very useful for detecting a trend recovery or reversal on an asset. Nevertheless, the divergence occurring is insufficient to open a swing entry. As previously explained, you need to associate the divergence with a signal. I will present two ways to allow better exploitation of divergences for swing trading. The first will help you benefit from the trend continuation, and the second will be from the recovery market.

Breakout and Divergences

The range breakout strategy allows for exploiting the continuation of the trend after a lateralization phase. That consists of opening an entry after the market breaks a critical price. I wrote a complete post on the range breakouts you can reach here: Automatic Opening Range Breakout using Prorealtime

Here is an example of a bullish divergence followed by a bullish range breakout on the S&P 500:

You can see on the above chart that a bullish divergence preceded the bullish range breakout. The breakout confirmed the continuation of the uptrend, with the first signs detected by the divergence indicator.

You will find the Prorealtime code of the range breakout indicator here: https://artificall.com/prorealtime/automated-opening-range-breakout/#15-code-of-the-opening-range-breakout-indicator

You can download the Range Breaker indicator detecting all the bullish and bearish breakouts: Range Breakout Indicator for Prorealtime

Pullback and Divergences

The pullback buying strategy allows to benefit from trend recovery after a short-term bear market. I wrote a complete post on the pullback buying strategy which is available here: How to benefit from Pullbacks on the market?

Here is an example of a pullback signal followed by a bullish divergence occurring on the Apple stock:

The pullback signal had been confirmed by the bullish divergence occurring. Later, the uptrend recovered.

You will get the Prorealtime code of the pullback buying indicator here: https://artificall.com/prorealtime/how-to-benefit-from-pullbacks-on-the-market/#9-pullback-indicator-for-prorealtime

Swing trading and divergence conclusions

The buying signals and the bullish divergence did not co-occur in the two previous cases. Both have succeeded one another. In the first case, the divergence occurred before the buying signal, and in the second, the divergence occurred later. The best way is to stay flexible when implementing divergences in your trading strategy. The divergence is an additional information you can integrate into your trading setup.

How do we use divergence to invest better?

You can use the divergences to time long-term entry openings. You have to adapt the time unit of the divergence indicator by setting a weekly or monthly timeframe. You could define the length of the divergence calculation at 52 weeks or 12 months.

The following chart shows a 52-week bullish divergence on the S&P 500 after the 2008-2009 crash. This divergence has been followed by the beginning of a new durable uptrend:

In the case of long-term investment, you don’t necessarily need a buying signal to open a long entry on a stock or an index. The most important is the fundamental and macroeconomic analysis. The occurrence of a monthly divergence on an index like the S&P 500 is often followed by a new bullish cycle. You can use divergences to confirm your macroeconomic analysis and start a position construction.

Find the best opportunities thanks to a divergence screener

I will show you how to create a divergence screener that is runnable on the Prorealtime platform. That will allow you to find the best stock, index, and ETF opportunities. You will use this screener in day trading as well as swing trading.

Code of the divergence screener for Prorealtime

The following source code will detect bullish and bearish divergences. To run it, you must open the screener windows on the Prorealtime platform, create a new screener, and copy-paste the code:

//------------------------------------------------------//
// * BULLISH AND BEARISH DIVERGENCE SCREENER *        * //
//------------------------------------------------------//
// Vivien Schmitt
// https://artificall.com
//------------------------------------------------------//

//------------------------------------------------------//
// * PARAMETERS
//------------------------------------------------------//
// length of the divergence calculation period
divergenceWidth = 100 //50
// Type of divergence
// Bullish divergence: 1
// Bearish divergence: -1
typeOfDivergence = 1

//------------------------------------------------------//
// INITIALIZATION
//------------------------------------------------------//
DIVERGENCE = 0
ISDIVERGENCE = 0

//------------------------------------------------------//
// * INDICATOR CALCULATIONS
//------------------------------------------------------//
trend = linearregressionslope[divergenceWidth](close)
strength = linearregressionslope[divergenceWidth](rsi[14])

//------------------------------------------------------//
// * DIVERGENCE DETECTION
//------------------------------------------------------//
IF trend < 0 and strength > 0 THEN
  IF typeOfDivergence = 1 THEN
    // BULLISH DIVERGENCE
    ISDIVERGENCE = 1
    DIVERGENCE = 1
  ENDIF
ELSIF trend > 0 and strength < 0 THEN
  IF typeOfDivergence = -1 THEN
    // BEARISH DIVERGENCE
    ISDIVERGENCE = 1
    DIVERGENCE = -1
  ENDIF
ELSE
  // NO DIVERGENCE
  DIVERGENCE = 0
ENDIF

//------------------------------------------------------//
// * DIVERGENCE SCREENER
//------------------------------------------------------//
SCREENER [ISDIVERGENCE](DIVERGENCE as "DIVERGENCE")

The typeOfDivergence allows you to specify the type of divergence you want. You must set 1 for this variable to find bullish divergences and -1 for bearish divergences.

Example of the divergence screener execution

Here is an example of the result returned by the screener on the Nasdaq index. I run the screener in a weekly timeframe, and I set 1 to the “typeOfDivergence” variable to find bullish divergences. The selected stock on the following screenshot is PayPal:

Risks associated with divergence trading

The trading of divergences contains risks, as in most trading strategies. Here are the main of them:

1. The timing

A divergence can appear too soon before the trend reversal. Sometimes, there are several days or weeks before the market takes a new direction. It is useless to open an entry immediately after the divergence detection.

• The bullish bias

Most of the time, a bearish divergence on a powerful index like the SP500, the Dow Jones, or the Nasdaq predicts price lateralization more than a bear market. During a bull market, there are many ranges, causing numerous bearish divergences.

• The indicator parameters

The divergence detection depends on the indicator parameters. In the example I provided in this post, I set 50 or 100 periods of divergence length for the trading strategy and 12 months for the investing. An indicator’s parameter values can strongly impact a strategy’s performance.

• The signal

Divergence is not a sufficient buying or selling signal. It gives information about a context. The result of a trade will mainly depend on the buying or selling signal. However, I think divergences can help you increase your strategy’s performance.

• The market noise

The divergence could be caused by market noise. A highly volatile market can trigger false bullish or bearish divergences. Many bullish divergences happened during the 2008 bear market. I have never found a technical indicator that works well during a market crash.

Divergence trading summary