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Unlocking the Candlestick Momentum Index (CMI) for MetaTrader 5

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Author: Andrey N. Bolkonsky

The Candlestick Momentum Index (CMI), inspired by the Candlestick Momentum Indicator, is a powerful tool introduced by William Blau in his acclaimed book, "Momentum, Direction, and Divergence: Applying the Latest Momentum Indicators for Technical Analysis".

  • Make sure to place WilliamBlau.mqh under terminal_data_folder\MQL5\Include\
  • Put Blau_CMI.mq5 in terminal_data_folder\MQL5\Indicators\

The CMI values are normalized within the range of [-100,+100]. This normalization allows positive CMI values to indicate overbought market conditions, while negative values signal oversold conditions. It’s a nifty way to gauge market sentiment!

Candlestick Momentum Index

Candlestick Momentum Index

Calculation:

The CMI is calculated using the following formula:

100 * EMA(EMA(EMA(cmtm(price1,price2,q),r),s),u)                 100 * CMtm(price1,price2,q,r,s,u)
CMI(price1,price2,q,r,s,u) = –––––––––
––––––––––––––––––––––––––––––––––– = ––––––––––––––––––––––––––––––––––––––––
                                              EMA(EMA(EMA(|cmtm(price1,price2,q)|,r),s),u)           EMA(EMA(EMA(|cmtm(price1,price2,q)|,r),s),u)

if EMA(EMA(EMA(|cmtm(price1,price2,q)|,r),s),u)=0, then CMI(price1,price2,q,r,s,u)=0

Where:

  • q: Number of bars used to calculate Candlestick Momentum;
  • price1: Close price;
  • price2: Open price from q bars ago;
  • cmtm(price1,price2,q): price1 - price2[q-1] - Candlestick Momentum;
  • |cmtm(price1,price2,q)|: Absolute value of Candlestick Momentum;
  • CMtm(price,q,r,s,u): Triple smoothed Candlestick Momentum;
  • EMA(...,r): First smoothing EMA(r) applied to:
    1. Candlestick Momentum;
    2. Absolute value of Candlestick Momentum;
  • EMA(EMA(...,r),s): Second smoothing - EMA(s), applied to the result of the first smoothing;
  • EMA(EMA(EMA(...,r),s),u): Third smoothing - EMA(u), applied to the result of the second smoothing.
Input parameters:
  • q: Number of bars for Candlestick Momentum calculation (default q=1);
  • r: Period of the first EMA applied to Candlestick Momentum (default r=20);
  • s: Period of the second EMA (default s=5);
  • u: Period of the third EMA (default u=3);
  • AppliedPrice1: Price type (default AppliedPrice1=PRICE_CLOSE);
  • AppliedPrice2: Price type (default AppliedPrice2=PRICE_OPEN).
Note:
  • q > 0;
  • r > 0, s > 0, u > 0. If r, s, or u are equal to 1, the smoothing is not applied;
  • Minimum rates = (q-1+r+s+u-3+1).

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