Calculating the Gradient Ratio of a Moving Average

02 Oct 2016
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This code snippet demonstrates how to calculate the gradient ratio of a moving average in relation to its previous values over a specified number of periods. The gradient ratio can provide insights into the rate of change of a moving average, which is useful in analyzing data trends.


p = 100
x = 5
y = average[p] - average[p](close[x-1])
Ratio = ((y/x)/average[p](close[x-1]))*100
return ratio

Explanation of the Code:

  • p = 100 – This sets the number of periods over which the moving average is calculated.
  • x = 5 – This represents the number of periods back from the current period for which the previous value of the moving average is considered.
  • y = average[p] – average[p](close[x-1]) – This calculates the difference between the current moving average over ‘p’ periods and the moving average ‘x’ periods ago.
  • Ratio = ((y/x)/average[p](close[x-1]))*100 – This line computes the gradient ratio. It divides the difference ‘y’ by ‘x’ to normalize the change over ‘x’ periods, then divides by the moving average value ‘x’ periods ago to scale this change relative to the size of the moving average at that point, and finally multiplies by 100 to express it as a percentage.
  • return ratio – This returns the calculated ratio, which can be used to analyze the slope or angle of the moving average over time.

This snippet is particularly useful for analyzing how steeply a moving average is rising or falling, which can be an indicator of trend strength or weakness in various applications.

Related Post

Check out this related content for more information:

https://www.prorealcode.com/topic/gradient-in-sma/#post-132947

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