StdDev Volatility

Author: Copyright 2023, MetaQuotes Ltd.
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StdDev Volatility
//+------------------------------------------------------------------+
//|                                            StdDev Volatility.mq5 |
//|                                  Copyright 2023, MetaQuotes Ltd. |
//|                                             https://www.mql5.com |
//+------------------------------------------------------------------+
#property copyright "Copyright 2023, MetaQuotes Ltd."
#property link      "https://www.mql5.com"
#property version   "1.00"
#property description "The StdDev Volatility indicator is used to identify high and low volatility, identify potential entry and exit points for trades."
#property description "It uses standard deviation and moving average to create bands and traders can use this information to make buy or sell decisions."
#property strict
#include <MovingAverages.mqh>

#property indicator_chart_window
#property indicator_buffers 6
#property indicator_plots   4

#property indicator_type1   DRAW_LINE
#property indicator_color1  clrDarkSlateGray
#property indicator_style1  STYLE_SOLID
#property indicator_width1  2

#property indicator_type2   DRAW_LINE
#property indicator_color2  clrDarkSlateGray
#property indicator_style2  STYLE_SOLID
#property indicator_width2  2

#property indicator_type3   DRAW_FILLING
#property indicator_color3  C'30,49,49'//clrDarkSlateGray
#property indicator_style3  STYLE_SOLID

#property indicator_type4   DRAW_LINE
#property indicator_color4  C'30,49,49'//clrDarkSlateGray
#property indicator_style4  STYLE_SOLID

//--- input parametrs
input int            InpStdDevPeriod=20;    // Period
input int            InpStdDevShift=0;      // Shift
input double         InpStdDeviations=2.0;  // Deviations
input ENUM_MA_METHOD InpMAMethod=MODE_SMMA; // Method

//--- indicator buffers
double ExtStdDevBuffer[];
double ExtMABuffer[];
//---
double ExtUpperBand[];
double ExtLowerBand[];
double ExtUpperMiddleBand[];
double ExtLowerMiddleBand[];
//--- defines the variables for storing the calculated period, shift, and number of deviations
int    ExtStdDevPeriod,ExtStdDevShift;
double ExtStdDeviations,Ext4thStdDev;
//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
void OnInit()
  {
//--- check for input values
   if(InpStdDevPeriod<=1)
     {
      ExtStdDevPeriod=14;
      PrintFormat("Incorrect value for input variable StdDevVolatilityPeriod=%d. Indicator will use value %d for calculations.",
                  InpStdDevPeriod,ExtStdDevPeriod);
     }
   else
      ExtStdDevPeriod=InpStdDevPeriod;
   if(InpStdDevShift<0)
     {
      ExtStdDevShift=0;
      PrintFormat("Incorrect value for input variable InpStdDevVolatilityShift=%d. Indicator will use value %d for calculations.",
                  InpStdDevShift,ExtStdDevShift);
     }
   else
      ExtStdDevShift=InpStdDevShift;
   if(InpStdDeviations<1)
     {
      ExtStdDeviations=2;
      PrintFormat("Incorrect value for input variable InpStdDevVolatilityDeviations=%d. Indicator will use value %d for calculations.",
                  InpStdDevShift,ExtStdDeviations);
     }
   else
      ExtStdDeviations=InpStdDeviations;
//--- calculates a value for the 4th standard deviation
   Ext4thStdDev=ExtStdDeviations*0.25;
//--- define indicator buffers as indexes
   SetIndexBuffer(0,ExtUpperBand);
   SetIndexBuffer(1,ExtLowerBand);
   SetIndexBuffer(2,ExtUpperMiddleBand);
   SetIndexBuffer(3,ExtLowerMiddleBand);
   SetIndexBuffer(4,ExtStdDevBuffer,INDICATOR_CALCULATIONS);
   SetIndexBuffer(5,ExtMABuffer,INDICATOR_CALCULATIONS);
//--- set indicator short name
   string short_name=StringFormat("StdDev Volatility (%d): %s",ExtStdDevPeriod,EnumToString(InpMAMethod));
   IndicatorSetString(INDICATOR_SHORTNAME,short_name);
   PlotIndexSetString(0,PLOT_LABEL,"StdDevVolatilityUpperBand");
   PlotIndexSetString(1,PLOT_LABEL,"StdDevVolatilityLowerBand");
   PlotIndexSetString(2,PLOT_LABEL,"StdDevVolatilityUpperMiddleBand");
   PlotIndexSetString(3,PLOT_LABEL,"StdDevVolatilityLowerMiddleBand");
//--- set index shift
   PlotIndexSetInteger(0,PLOT_SHIFT,ExtStdDevShift);
   PlotIndexSetInteger(1,PLOT_SHIFT,ExtStdDevShift);
   PlotIndexSetInteger(2,PLOT_SHIFT,ExtStdDevShift);
   PlotIndexSetInteger(3,PLOT_SHIFT,ExtStdDevShift);
  }
//+------------------------------------------------------------------+
//| Custom indicator iteration function                              |
//+------------------------------------------------------------------+
int OnCalculate(const int rates_total,const int prev_calculated,const int begin,const double &price[])
  {
   if(rates_total<ExtStdDevPeriod)
      return(0);
//--- starting work
   int start=prev_calculated-1;
//--- correct position for first iteration
   if(start<ExtStdDevPeriod)
     {
      start=ExtStdDevPeriod-1;
      ArrayInitialize(ExtStdDevBuffer,0.0);
      ArrayInitialize(ExtMABuffer,0.0);
      ArrayInitialize(ExtUpperBand,0.0);
      ArrayInitialize(ExtLowerBand,0.0);
      ArrayInitialize(ExtUpperMiddleBand,0.0);
      ArrayInitialize(ExtLowerMiddleBand,0.0);
      PlotIndexSetInteger(0,PLOT_DRAW_BEGIN,ExtStdDevPeriod-1+begin);
     }
//--- main cycle
   switch(InpMAMethod)
     {
      case  MODE_EMA :
         for(int i=start; i<rates_total && !IsStopped(); i++)
           {
            if(i==ExtStdDevPeriod-1)
               ExtMABuffer[i]=SimpleMA(i,ExtStdDevPeriod,price);
            else
               ExtMABuffer[i]=ExponentialMA(i,ExtStdDevPeriod,ExtMABuffer[i-1],price);
            //--- Calculate StdDev
            ExtStdDevBuffer[i]=StdDevFunc(price,ExtMABuffer,i);
            //--- Calculate StdDev Bands
            ExtUpperBand[i]=ExtMABuffer[i]+(ExtStdDeviations*ExtStdDevBuffer[i]);
            ExtLowerBand[i]=ExtMABuffer[i]-(ExtStdDeviations*ExtStdDevBuffer[i]);
            ExtUpperMiddleBand[i]=ExtMABuffer[i]+ExtStdDevBuffer[i]*Ext4thStdDev;
            ExtLowerMiddleBand[i]=ExtMABuffer[i]-ExtStdDevBuffer[i]*Ext4thStdDev;
           }
         break;
      case MODE_SMMA :
         for(int i=start; i<rates_total && !IsStopped(); i++)
           {
            if(i==ExtStdDevPeriod-1)
               ExtMABuffer[i]=SimpleMA(i,ExtStdDevPeriod,price);
            else
               ExtMABuffer[i]=SmoothedMA(i,ExtStdDevPeriod,ExtMABuffer[i-1],price);
            //--- Calculate StdDev
            ExtStdDevBuffer[i]=StdDevFunc(price,ExtMABuffer,i);
            //--- Calculate StdDev Bands
            ExtUpperBand[i]=ExtMABuffer[i]+(ExtStdDeviations*ExtStdDevBuffer[i]);
            ExtLowerBand[i]=ExtMABuffer[i]-(ExtStdDeviations*ExtStdDevBuffer[i]);
            ExtUpperMiddleBand[i]=ExtMABuffer[i]+ExtStdDevBuffer[i]*Ext4thStdDev;
            ExtLowerMiddleBand[i]=ExtMABuffer[i]-ExtStdDevBuffer[i]*Ext4thStdDev;
           }
         break;
      case MODE_LWMA :
         for(int i=start; i<rates_total && !IsStopped(); i++)
           {
            ExtMABuffer[i]=LinearWeightedMA(i,ExtStdDevPeriod,price);
            ExtStdDevBuffer[i]=StdDevFunc(price,ExtMABuffer,i);
            //--- Calculate StdDev Bands
            ExtUpperBand[i]=ExtMABuffer[i]+(ExtStdDeviations*ExtStdDevBuffer[i]);
            ExtLowerBand[i]=ExtMABuffer[i]-(ExtStdDeviations*ExtStdDevBuffer[i]);
            ExtUpperMiddleBand[i]=ExtMABuffer[i]+ExtStdDevBuffer[i]*Ext4thStdDev;
            ExtLowerMiddleBand[i]=ExtMABuffer[i]-ExtStdDevBuffer[i]*Ext4thStdDev;
           }
         break;
      default :
         for(int i=start; i<rates_total && !IsStopped(); i++)
           {
            ExtMABuffer[i]=SimpleMA(i,ExtStdDevPeriod,price);
            //--- Calculate StdDev
            ExtStdDevBuffer[i]=StdDevFunc(price,ExtMABuffer,i);
            //--- Calculate StdDev Bands
            ExtUpperBand[i]=ExtMABuffer[i]+(ExtStdDeviations*ExtStdDevBuffer[i]);
            ExtLowerBand[i]=ExtMABuffer[i]-(ExtStdDeviations*ExtStdDevBuffer[i]);
            ExtUpperMiddleBand[i]=ExtMABuffer[i]+ExtStdDevBuffer[i]*Ext4thStdDev;
            ExtLowerMiddleBand[i]=ExtMABuffer[i]-ExtStdDevBuffer[i]*Ext4thStdDev;
           }
     }
//--- OnCalculate done. Return new prev_calculated.
   return(rates_total);
  }
//+------------------------------------------------------------------+
//| Calculate Standard Deviation                                     |
//+------------------------------------------------------------------+
double StdDevFunc(const double &price[],const double &ma_price[],const int position)
  {
   double dev=0.0;
   for(int i=0; i<ExtStdDevPeriod; i++)
      dev+=MathPow(price[position-i]-ma_price[position],2.0);
   dev=MathSqrt(dev/ExtStdDevPeriod);
   return(dev);
  }
//+------------------------------------------------------------------+

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