15 KiB
D-Basket EA v2.0 - Technical Documentation
Table of Contents
- Architecture Overview
- v1.0 Core Modules
- 🆕 v2.0 Optimization Modules
- Data Flow
- Signal Processing Pipeline
- Risk Management System
- Implementation Details
- 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:
- Data validity
- No existing basket
- Trading hours check
- Rollover avoidance
- Spread validation
- Correlation threshold
- Volatility check
- 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
- Cointegration: p-value should be < 0.05 for 60-80% of potential trades
- Half-Life: Should range 10-200 bars for most spreads
- ATR Weights: Should vary between 0.15-0.50 per symbol
- Win Rate: Should exceed 70% in backtests
- 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 indexQUICK_START.md- Installation and setupDEVELOPMENT_SUMMARY.md- Project historyTECHNICAL_DOCUMENTATION.md- This file
Source Code
MQL5/Experts/DBasketEA.mq5- v1.0 EAMQL5/Experts/DBasketEA_v2.mq5- v2.0 EAMQL5/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)
📄 License & Copyright
Copyright © 2025 Dineth Pramodya
Website: www.dineth.lk
All rights reserved.
Last Updated: December 28, 2025
Documentation Version: 2.00
Developed by: Dineth Pramodya