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Toh4iem9
79 lines
4.7 KiB
Markdown
79 lines
4.7 KiB
Markdown
# Chande Momentum Oscillator (CMO) Professional
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## 1. Summary (Introduction)
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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.
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Our `CMO_Pro` implementation is a comprehensive, professional version that significantly enhances the classic indicator. It includes:
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* A fully customizable **Signal Line** for crossover strategies.
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* Optional **Bollinger Bands** applied directly to the CMO, providing dynamic overbought/oversold levels based on momentum volatility.
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* Support for both **standard** and **Heikin Ashi** price data.
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## 2. Mathematical Foundations and Calculation Logic
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The CMO's formula is direct and intuitive, focusing solely on the net momentum over a specified number of periods.
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### Required Components
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* **CMO Period (N):** The lookback period for the calculation (e.g., 14).
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* **Source Price (P):** The price series used for the calculation.
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### Calculation Steps (Algorithm)
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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.
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* $\text{Price Change}_i = P_i - P_{i-1}$
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* If $\text{Price Change}_i > 0$, add it to a running total, `Sum Up`.
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* If $\text{Price Change}_i < 0$, add its absolute value (`-Price Change_i`) to a running total, `Sum Down`.
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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.
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$\text{CMO}_i = 100 \times \frac{\text{Sum Up}_i - \text{Sum Down}_i}{\text{Sum Up}_i + \text{Sum Down}_i}$
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3. **Calculate Signal Line:** A moving average of the CMO line is calculated.
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4. **Calculate Bollinger Bands:** Standard Bollinger Bands are calculated on the CMO line, centered around the Signal Line.
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## 3. MQL5 Implementation Details
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Our MQL5 implementation is built on our standard, robust, and object-oriented framework.
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* **Modular Calculator Engine (`CMO_Calculator.mqh`):**
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All core calculation logic is encapsulated within a dedicated and reusable include file.
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* **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.
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* **Optimized Incremental Calculation (O(1)):**
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Unlike basic implementations that recalculate the entire history on every tick, this indicator employs an intelligent incremental algorithm.
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* **State Tracking:** It utilizes `prev_calculated` to process only new bars.
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* **Persistent Buffers:** Internal buffers persist their state between ticks.
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* **Robust Offset Handling:** The engine correctly handles the initialization periods of the chained calculations.
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* **Object-Oriented Design (Inheritance):**
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* A base class, `CCMOCalculator`, performs the full CMO calculation on a given source price.
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* A derived class, `CCMOCalculator_HA`, inherits all the logic and only overrides the `PreparePriceSeries` method to supply Heikin Ashi data as the input.
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## 4. Parameters (`CMO_Pro.mq5`)
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* **CMO Period (`InpPeriodCMO`):** The lookback period for summing up and down price movements. (Default: `14`).
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* **Applied Price (`InpSourcePrice`):** The source price for the calculation. (Standard or Heikin Ashi).
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* **Overlay Settings:**
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* **Display Mode (`InpDisplayMode`):** Toggles between `CMO_Only`, `CMO_and_MA`, and `CMO_and_Bands`.
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* **MA Period (`InpPeriodMA`):** The period for the signal line.
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* **MA Method (`InpMethodMA`):** The type of moving average for the signal line. Supports: **SMA, EMA, SMMA, LWMA, TMA, DEMA, TEMA**.
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* **Bands Deviation (`InpBandsDev`):** The standard deviation multiplier for the Bollinger Bands.
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## 5. Usage and Interpretation
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The CMO is a versatile tool for identifying momentum, overbought/oversold conditions, and potential trend reversals.
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* **Overbought/Oversold Levels:**
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* **CMO > +50:** The market is considered overbought.
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* **CMO < -50:** The market is considered oversold.
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* **Bollinger Bands:** When the CMO touches or exceeds its own Bollinger Bands, it signals an extreme statistical deviation in momentum, often preceding a reversal.
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* **Zero Line Crossover:**
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* A crossover **above the zero line** indicates that bullish momentum is now stronger than bearish momentum.
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* A crossover **below the zero line** indicates that bearish momentum has taken control.
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* **Signal Line Crossover:**
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* A crossover of the CMO line and its Signal Line provides earlier entry/exit signals than the zero line cross.
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