mql5/Indicators/MyIndicators/CMO_Pro.md

Chande Momentum Oscillator (CMO) Professional

1. Summary (Introduction)

The Chande Momentum Oscillator (CMO), developed by Tushar Chande, is a pure momentum indicator that measures the direction and strength of a trend. Unlike other oscillators like the RSI which can become "compressed" at their extremes, the CMO uses a distinct calculation that allows it to oscillate freely between -100 and +100.

Our CMO_Pro implementation is a comprehensive, professional version that significantly enhances the classic indicator. It includes:

• A fully customizable Signal Line for crossover strategies.
• Optional Bollinger Bands applied directly to the CMO, providing dynamic overbought/oversold levels based on momentum volatility.
• Support for both standard and Heikin Ashi price data.

2. Mathematical Foundations and Calculation Logic

The CMO's formula is direct and intuitive, focusing solely on the net momentum over a specified number of periods.

Required Components

• CMO Period (N): The lookback period for the calculation (e.g., 14).
• Source Price (P): The price series used for the calculation.

Calculation Steps (Algorithm)

1. Calculate Sum of Up and Down Moves: For the last N periods, iterate through each bar and calculate the change from the previous bar.

   • \text{Price Change}_i = P_i - P_{i-1}
   • If \text{Price Change}_i > 0, add it to a running total, Sum Up.
   • If \text{Price Change}_i < 0, add its absolute value (-Price Change_i) to a running total, Sum Down.

2. Calculate the CMO Value: The final CMO value is calculated using the following formula, which normalizes the result to the -100 to +100 range. \text{CMO}_i = 100 \times \frac{\text{Sum Up}_i - \text{Sum Down}_i}{\text{Sum Up}_i + \text{Sum Down}_i}

3. Calculate Signal Line: A moving average of the CMO line is calculated.

4. Calculate Bollinger Bands: Standard Bollinger Bands are calculated on the CMO line, centered around the Signal Line.

3. MQL5 Implementation Details

Our MQL5 implementation is built on our standard, robust, and object-oriented framework.

• Modular Calculator Engine (CMO_Calculator.mqh): All core calculation logic is encapsulated within a dedicated and reusable include file.

  • Composition: The calculator internally uses our universal MovingAverage_Engine.mqh to handle the smoothing of the Signal Line. This allows for advanced smoothing types (like DEMA or TEMA) beyond the standard SMA.

• Optimized Incremental Calculation (O(1)): Unlike basic implementations that recalculate the entire history on every tick, this indicator employs an intelligent incremental algorithm.

  • State Tracking: It utilizes prev_calculated to process only new bars.
  • Persistent Buffers: Internal buffers persist their state between ticks.
  • Robust Offset Handling: The engine correctly handles the initialization periods of the chained calculations.

• Object-Oriented Design (Inheritance):

  • A base class, CCMOCalculator, performs the full CMO calculation on a given source price.
  • A derived class, CCMOCalculator_HA, inherits all the logic and only overrides the PreparePriceSeries method to supply Heikin Ashi data as the input.

4. Parameters (CMO_Pro.mq5)

• CMO Period (InpPeriodCMO): The lookback period for summing up and down price movements. (Default: 14).
• Applied Price (InpSourcePrice): The source price for the calculation. (Standard or Heikin Ashi).
• Overlay Settings:
  • Display Mode (InpDisplayMode): Toggles between CMO_Only, CMO_and_MA, and CMO_and_Bands.
  • MA Period (InpPeriodMA): The period for the signal line.
  • MA Method (InpMethodMA): The type of moving average for the signal line. Supports: SMA, EMA, SMMA, LWMA, TMA, DEMA, TEMA.
  • Bands Deviation (InpBandsDev): The standard deviation multiplier for the Bollinger Bands.

5. Usage and Interpretation

The CMO is a versatile tool for identifying momentum, overbought/oversold conditions, and potential trend reversals.

• Overbought/Oversold Levels:

  • CMO > +50: The market is considered overbought.
  • CMO < -50: The market is considered oversold.
  • Bollinger Bands: When the CMO touches or exceeds its own Bollinger Bands, it signals an extreme statistical deviation in momentum, often preceding a reversal.

• Zero Line Crossover:

  • A crossover above the zero line indicates that bullish momentum is now stronger than bearish momentum.
  • A crossover below the zero line indicates that bearish momentum has taken control.

• Signal Line Crossover:

  • A crossover of the CMO line and its Signal Line provides earlier entry/exit signals than the zero line cross.