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dbasket-EA/[agent]docs/TECHNICAL_DOCUMENTATION.md
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D-Basket EA v2.0 - Technical Documentation

Table of Contents

  1. Architecture Overview
  2. v1.0 Core Modules
  3. 🆕 v2.0 Optimization Modules
  4. Data Flow
  5. Signal Processing Pipeline
  6. Risk Management System
  7. Implementation Details
  8. Testing & Validation

Architecture Overview

The D-Basket EA v2.0 implements a modular, event-driven architecture with 11 core modules (8 from v1.0 + 3 new optimization modules).

graph TB
    subgraph "Main EA"
        EA[DBasketEA_v2.mq5]
    end
    
    subgraph "v1.0 Core Modules"
        CE[Correlation Engine]
        SE[Signal Engine]
        PM[Position Manager]
        RM[Risk Manager]
        TW[Trade Wrapper]
        LOG[Logger]
    end
    
    subgraph "🆕 v2.0 Optimization Modules"
        COINT[Cointegration Engine]
        HL[Half-Life Engine]
        ATR[Volatility Balancer]
    end
    
    subgraph "Foundation"
        DEF[Defines]
        STRUCT[Structures]
    end
    
    EA --> CE
    EA --> SE
    EA --> PM
    EA --> RM
    EA --> COINT
    EA --> HL
    EA --> ATR
    
    SE --> COINT
    SE --> HL
    PM --> ATR
    
    style EA fill:#4CAF50
    style COINT fill:#FF6B6B
    style HL fill:#FF6B6B
    style ATR fill:#FF6B6B

File Structure

MQL5/
├── Experts/
│   ├── DBasketEA.mq5                       # v1.0 EA (547 LOC)
│   └── DBasketEA_v2.mq5                    # 🆕 v2.0 EA (736 LOC)
└── Include/
    └── DBasket/
        ├── DBasket_Defines.mqh             # Constants & Enums (149 LOC)
        ├── DBasket_Structures.mqh          # Data Structures (524 LOC)
        ├── DBasket_Logger.mqh              # Logging System (424 LOC)
        ├── DBasket_CorrelationEngine.mqh   # Correlation Calc (401 LOC)
        ├── DBasket_SignalEngine.mqh        # Signal Generation (401 LOC)
        ├── DBasket_TradeWrapper.mqh        # Trade Execution (400 LOC)
        ├── DBasket_PositionManager.mqh     # Basket Management (572 LOC)
        ├── DBasket_RiskManager.mqh         # Risk Control (424 LOC)
        ├── 🆕 DBasket_CointegrationEngine.mqh  # ADF Test (450 LOC)
        ├── 🆕 DBasket_HalfLifeEngine.mqh       # O-U Half-Life (465 LOC)
        └── 🆕 DBasket_VolatilityBalancer.mqh   # ATR Sizing (360 LOC)

Total Lines of Code: ~5,307 (v1.0: ~2,880 | v2.0 additions: ~2,427)


v1.0 Core Modules

1. Correlation Engine

Purpose: Calculate rolling correlation and z-score for the three-pair relationship.

Key Features:

  • Circular buffer for price history
  • Pearson correlation coefficient
  • Z-score computation
  • Cache optimization (30s validity)

Mathematical Foundation:

Synthetic Ratio = AUDCAD / NZDCAD
Spread = ratio - AUDNZD
Z-Score = (spread - μ) / σ

2. Signal Engine

Purpose: Generate entry/exit signals with 8-stage validation.

Entry Filters:

  1. Data validity
  2. No existing basket
  3. Trading hours check
  4. Rollover avoidance
  5. Spread validation
  6. Correlation threshold
  7. Volatility check
  8. Z-score threshold

3. Position Manager

Purpose: Execute coordinated 3-leg basket trades.

Basket Configurations:

Direction AUDNZD AUDCAD NZDCAD
LONG BUY SELL BUY
SHORT SELL BUY SELL

4. Risk Manager

Purpose: Monitor risk limits and circuit breaker.

Risk Limits:

  • Drawdown: 8% warning, 15% trip
  • Daily Loss: $100 or 5%
  • Margin: 500% warning, 200% trip
  • Consecutive Losses: 6 trips breaker

🆕 v2.0 Optimization Modules

1. Cointegration Engine (ADF Test)

Purpose: Validate that the spread is statistically mean-reverting before trading.

Algorithm:

flowchart LR
    A[Price Data] --> B[OLS Regression]
    B --> C[Extract Residuals]
    C --> D[AR1 Regression]
    D --> E[Calculate ADF Statistic]
    E --> F{ADF < -2.86?}
    F -->|Yes| G[Cointegrated ✓]
    F -->|No| H[Not Cointegrated ✗]

Mathematical Details:

Step 1: OLS Regression

AUDNZD = α + β × (AUDCAD/NZDCAD) + ε

Extract residuals ε (the spread)

Step 2: ADF Test on Residuals

Δε_t = α + γ × ε_{t-1} + noise
ADF Statistic = γ / SE(γ)

Step 3: Critical Values

ADF Value P-Value Interpretation
< -3.43 0.01 Strong cointegration
< -2.86 0.05 Valid cointegration ✓
< -2.57 0.10 Weak cointegration
> -2.57 > 0.10 Not cointegrated ✗

Impact: Only trades when p < 0.05 (default), filtering out non-stationary spreads.

Expected Improvement: Win rate +8-15%


2. Half-Life Engine (Ornstein-Uhlenbeck)

Purpose: Calculate optimal exit timing based on mean-reversion speed.

Algorithm:

flowchart LR
    A[Spread Series] --> B[AR1 Regression]
    B --> C[Extract λ]
    C --> D{λ < 0?}
    D -->|Yes| E[Calculate Half-Life]
    D -->|No| F[Non-Reverting ✗]
    E --> G[τ = -ln2 / λ]
    G --> H[Max Hold = 2 × τ]

Mathematical Details:

Step 1: AR(1) Regression

Δspread_t = α + λ × spread_{t-1} + ε

Step 2: Half-Life Calculation

Half-Life (τ) = -ln(2) / λ

Where:

  • λ < 0 indicates mean reversion
  • τ = number of bars for 50% reversion

Step 3: Exit Logic

Max Holding Time = 2 × τ bars
Stop Loss = Entry Z-Score + 1.5σ

Example:

  • If λ = -0.05, then τ = 13.9 bars
  • Max hold = 27.8 bars (~28 bars)
  • If spread diverges further by 1.5σ, exit immediately

Impact: Prevents holding positions too long or exiting too early.

Expected Improvement: Drawdown -15-20%


3. Volatility Balancer (ATR-Based)

Purpose: Balance risk across all 3 legs using inverse volatility weighting.

Algorithm:

flowchart LR
    A[Get ATR14] --> B[Calculate Weights]
    B --> C[w_i = 1/ATR_i]
    C --> D[Normalize Σw = 1]
    D --> E[Lots_i = Base × w_i × 3]

Mathematical Details:

Step 1: ATR Calculation

ATR_i = 14-period Average True Range for symbol i

Step 2: Inverse Volatility Weights

weight_i = (1 / ATR_i) / Σ(1 / ATR_j)

Step 3: Lot Allocation

lots_i = base_lots × weight_i × 3

Example:

Symbol ATR 1/ATR Weight Base=0.01 Final Lots
AUDCAD 0.0050 200 0.40 0.01 0.012
NZDCAD 0.0040 250 0.50 0.01 0.015
AUDNZD 0.0080 125 0.10 0.01 0.003

Result: High-volatility AUDNZD gets smaller lot, low-volatility NZDCAD gets larger lot.

Impact: Equal risk contribution from each leg.

Expected Improvement: Sharpe ratio +10-15%


Data Flow

v2.0 OnTick Event Processing

flowchart TD
    START([OnTick]) --> RM[Risk Check]
    RM --> UPDATE[Update Prices]
    UPDATE --> CORR[Calculate Correlation]
    
    CORR --> NEWBAR{New Bar?}
    NEWBAR -->|Yes| COINT[Update Cointegration]
    COINT --> HL[Update Half-Life]
    HL --> ATR[Update ATR Weights]
    NEWBAR -->|No| SKIP[Skip Updates]
    
    ATR --> BASKET{Basket Open?}
    SKIP --> BASKET
    
    BASKET -->|Yes| CHECK_EXIT{Exit Signal?}
    CHECK_EXIT -->|Standard| CLOSE1[Close Basket]
    CHECK_EXIT -->|Half-Life Time| CLOSE2[Close Basket]
    CHECK_EXIT -->|Half-Life SL| CLOSE3[Close Basket]
    CHECK_EXIT -->|Coint Break| CLOSE4[Close Basket]
    CHECK_EXIT -->|No| HOLD[Hold]
    
    BASKET -->|No| PREFILTER{Cointegrated?}
    PREFILTER -->|No| REJECT[Skip Trade]
    PREFILTER -->|Yes| HLVALID{Half-Life Valid?}
    HLVALID -->|No| REJECT
    HLVALID -->|Yes| SIGNAL[Check Signal]
    SIGNAL --> OPEN{Signal?}
    OPEN -->|Yes| CALC_LOTS[ATR Weighted Lots]
    CALC_LOTS --> EXECUTE[Open Basket]
    OPEN -->|No| REJECT
    
    style COINT fill:#FF6B6B
    style HL fill:#FF6B6B
    style ATR fill:#FF6B6B
    style CALC_LOTS fill:#FF6B6B

Signal Processing Pipeline

v2.0 Entry Validation

flowchart TD
    START([Entry Signal Request]) --> F1{Data Valid?}
    F1 -->|No| REJECT[❌ Reject]
    F1 -->|Yes| F2{🆕 Cointegrated?}
    F2 -->|No| REJECT
    F2 -->|Yes| F3{🆕 Half-Life Valid?}
    F3 -->|No| REJECT
    F3 -->|Yes| F4{Trading Hours?}
    F4 -->|No| REJECT
    F4 -->|Yes| F5{Spread OK?}
    F5 -->|No| REJECT
    F5 -->|Yes| F6{Correlation > Min?}
    F6 -->|No| REJECT
    F6 -->|Yes| F7{|Z-Score| > Entry?}
    F7 -->|No| REJECT
    F7 -->|Yes| ACCEPT[✅ Accept Signal]
    
    style F2 fill:#FF6B6B
    style F3 fill:#FF6B6B
    style ACCEPT fill:#4CAF50
    style REJECT fill:#f44336

v2.0 Exit Logic

flowchart TD
    START([Check Exit]) --> E1{Z-Score Reverted?}
    E1 -->|Yes| EXIT1[Mean Reversion Exit]
    E1 -->|No| E2{P&L ≥ TP?}
    E2 -->|Yes| EXIT2[Take Profit]
    E2 -->|No| E3{P&L ≤ SL?}
    E3 -->|Yes| EXIT3[Stop Loss]
    E3 -->|No| E4{🆕 Bars > 2×HalfLife?}
    E4 -->|Yes| EXIT4[Half-Life Time Exit]
    E4 -->|No| E5{🆕 Z > Entry+1.5σ?}
    E5 -->|Yes| EXIT5[Half-Life Variance SL]
    E5 -->|No| E6{🆕 Coint p > 0.10?}
    E6 -->|Yes| EXIT6[Cointegration Break]
    E6 -->|No| E7{Correlation < 0.5?}
    E7 -->|Yes| EXIT7[Correlation Break]
    E7 -->|No| HOLD[Hold Position]
    
    style E4 fill:#FF6B6B
    style E5 fill:#FF6B6B
    style E6 fill:#FF6B6B

Implementation Details

v2.0 Input Parameters

// === v2.0 OPTIMIZATION SETTINGS ===

// Cointegration Filter
input bool     InpCointEnabled = true;      // Enable?
input double   InpCointPValue = 0.05;       // P-Value Threshold
input int      InpCointUpdateBars = 50;     // Update Interval (bars)
input int      InpCointADFLags = 1;         // ADF Lags

// Half-Life Exits
input bool     InpHLEnabled = true;         // Enable?
input int      InpHLUpdateBars = 20;        // Update Interval (bars)
input int      InpHLMinValue = 10;          // Min Half-Life (bars)
input int      InpHLMaxValue = 500;         // Max Half-Life (bars)
input double   InpHLExitMultiplier = 2.0;   // Max Hold Multiplier
input double   InpHLStopLossSigma = 1.5;    // SL Distance (sigma)

// ATR Position Sizing
input bool     InpATREnabled = true;        // Enable?
input int      InpATRPeriod = 14;           // ATR Period
input double   InpATRMinWeight = 0.15;      // Min Weight per Symbol
input double   InpATRMaxWeight = 0.50;      // Max Weight per Symbol

v2.0 Data Structures

CointegrationData

struct CointegrationData {
    double adfStatistic;        // ADF test statistic
    double pValue;              // Approximate p-value
    double beta;                // Hedge ratio from OLS
    double alpha;               // Intercept
    double residualStdDev;      // Residual std dev
    datetime lastUpdateTime;
    bool isCointegrated;        // p < threshold
    bool isValid;
};

HalfLifeData

struct HalfLifeData {
    double lambda;              // AR(1) coefficient
    double halfLife;            // Calculated half-life (bars)
    double sigma;               // Residual std dev
    double ouVariance;          // O-U variance
    datetime lastUpdateTime;
    bool isMeanReverting;       // lambda < 0
    bool isValid;
};

VolatilityData

struct VolatilityData {
    double atr[NUM_SYMBOLS];    // ATR values
    double weights[NUM_SYMBOLS]; // Inverse vol weights
    double adjustedLots[NUM_SYMBOLS]; // Final lots
    datetime lastUpdateTime;
    bool isValid;
};

Testing & Validation

Compilation Status

v1.0: Successfully compiled with 0 errors, 0 warnings
v2.0: Successfully compiled with 0 errors, 0 warnings

v2.0 Expected Performance

Metric v1.0 Baseline v2.0 Target Improvement
Win Rate ~60% 75-82% +15-22%
Profit Factor ~0.9 1.5-2.0 +67-122%
Max Drawdown ~15% 8-12% -20-47%
Trade Frequency High -30-40% Quality over quantity
Sharpe Ratio ~0.5 0.8-1.2 +60-140%

Testing Workflow

flowchart TD
    START([Start]) --> COMPILE[Compile v2.0]
    COMPILE --> BACKTEST[Backtest 3 Years]
    BACKTEST --> COMPARE{Better than v1.0?}
    
    COMPARE -->|No| DEBUG[Debug/Adjust]
    DEBUG --> BACKTEST
    
    COMPARE -->|Yes| OPTIMIZE[Optimize Parameters]
    OPTIMIZE --> WALKFORWARD[Walk-Forward Analysis]
    WALKFORWARD --> DEMO[Demo Account 1+ Month]
    
    DEMO --> VALIDATE{Matches Backtest?}
    VALIDATE -->|No| REVIEW[Review Execution]
    REVIEW --> OPTIMIZE
    
    VALIDATE -->|Yes| LIVE[Consider Live]
    
    style START fill:#4CAF50
    style LIVE fill:#4CAF50

Key Validation Points

  1. Cointegration: p-value should be < 0.05 for 60-80% of potential trades
  2. Half-Life: Should range 10-200 bars for most spreads
  3. ATR Weights: Should vary between 0.15-0.50 per symbol
  4. Win Rate: Should exceed 70% in backtests
  5. Profit Factor: Should exceed 1.5 in backtests

Configuration Guidelines

v2.0 Conservative Settings

// Cointegration
InpCointPValue = 0.01          // Very strict
InpCointUpdateBars = 30        // Frequent updates

// Half-Life
InpHLExitMultiplier = 1.5      // Earlier exits
InpHLStopLossSigma = 1.0       // Tighter SL

// ATR
InpATRPeriod = 20              // Longer period

v2.0 Moderate Settings (Default)

// Cointegration
InpCointPValue = 0.05          // Standard
InpCointUpdateBars = 50        // Balanced

// Half-Life
InpHLExitMultiplier = 2.0      // Standard
InpHLStopLossSigma = 1.5       // Balanced

// ATR
InpATRPeriod = 14              // Standard

v2.0 Aggressive Settings

// Cointegration
InpCointPValue = 0.10          // More permissive
InpCointUpdateBars = 100       // Less frequent

// Half-Life
InpHLExitMultiplier = 3.0      // Longer holds
InpHLStopLossSigma = 2.0       // Wider SL

// ATR
InpATRPeriod = 10              // Shorter period

Version History

v2.00 (2025-12-28)

  • 🆕 Cointegration Engine - ADF test for spread stationarity
  • 🆕 Half-Life Engine - Ornstein-Uhlenbeck mean-reversion timing
  • 🆕 Volatility Balancer - ATR-based risk parity sizing
  • 3 new optimization modules (~1,275 LOC)
  • Enhanced entry/exit logic
  • Comprehensive v2.0 documentation
  • Expected win rate: 75-82%

v1.00 (2025-12-28)

  • Initial implementation
  • 8 modular components
  • Circuit breaker system
  • Comprehensive logging
  • Fixed MQL5 deprecations

Support & Resources

Documentation Files

  • README.md - Documentation index
  • QUICK_START.md - Installation and setup
  • DEVELOPMENT_SUMMARY.md - Project history
  • TECHNICAL_DOCUMENTATION.md - This file

Source Code

  • MQL5/Experts/DBasketEA.mq5 - v1.0 EA
  • MQL5/Experts/DBasketEA_v2.mq5 - v2.0 EA
  • MQL5/Include/DBasket/*.mqh - All modules

External References

  • MQL5 Documentation: https://www.mql5.com/en/docs
  • Cointegration Theory: Engle-Granger (1987)
  • Ornstein-Uhlenbeck Process: Statistical mean reversion
  • ATR Indicator: Wilder (1978)


Copyright © 2025 Dineth Pramodya
Website: www.dineth.lk
All rights reserved.


Last Updated: December 28, 2025
Documentation Version: 2.00
Developed by: Dineth Pramodya