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.

It works by calculating the sum of all positive price changes and the sum of all negative price changes over a given period, and then expressing the difference as a percentage of the total movement.

• Values approaching +100 indicate strong bullish momentum and potentially overbought conditions.
• Values approaching -100 indicate strong bearish momentum and potentially oversold conditions.
• The zero line represents a point of equilibrium where bullish and bearish pressures are balanced.

Our CMO_Pro implementation is a professional, standalone version that allows the calculation to be based on either standard or 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. 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. This engine was efficiently created by refactoring the validated CMO logic from our VIDYA_Calculator, ensuring consistency and code reusability across the indicator suite.

• 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. This clean polymorphic approach eliminates code duplication.

• Simplified Main Indicator (CMO_Pro.mq5): The main .mq5 file is a clean "wrapper" that handles user inputs, creates the appropriate calculator object (standard or _HA), and delegates the entire calculation with a single function call in OnCalculate().

• Stability via Full Recalculation: The indicator performs a full recalculation on every tick. For a straightforward, non-recursive indicator like CMO, this ensures maximum stability and simplicity in the code.

4. Parameters (CMO_Pro.mq5)

• CMO Period (InpPeriodCMO): The lookback period for summing up and down price movements. A common value is 14, but shorter periods (like 9) will result in a more sensitive oscillator.
• Applied Price (InpSourcePrice): The source price for the calculation. This unified dropdown menu allows you to select from all standard and Heikin Ashi price types.

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, and bullish momentum may be overextended. This can be an early warning of a potential bearish reversal or consolidation.
  • CMO < -50: The market is considered oversold, and bearish momentum may be exhausted. This can signal a potential bullish reversal or bounce.

• Zero Line Crossover:

  • A crossover above the zero line indicates that bullish momentum is now stronger than bearish momentum, confirming an uptrend.
  • A crossover below the zero line indicates that bearish momentum has taken control, confirming a downtrend.
  • The zero line can act as a filter; for example, only taking long trades when CMO is above 0.

• Divergence:

  • Bearish Divergence: Occurs when the price makes a new high, but the CMO fails to make a new high. This suggests that the momentum behind the uptrend is weakening and a reversal may be near.
  • Bullish Divergence: Occurs when the price makes a new low, but the CMO makes a higher low. This indicates that bearish momentum is fading and a bottom may be forming.