BGC Grid EA - expert for MetaTrader 5

Overview

This Expert Advisor implements a regime-aware, restartable grid-trading system grounded in the Bi-Directional Grid Constrained (BGC) stochastic process research by Aldo Taranto at the University of Southern Queensland (2020–2022). The research formally proves that naive grids converge toward ruin, but that finite cycles with regime-aware gating transform grid trading into a viable strategy with positive expected value under the right conditions.

Unlike conventional grid EAs that run a single open-ended grid until the account blows, this system operates in short, restartable cycles. Each cycle picks an anchor price, builds a grid, trades under active supervision, and closes when a profit target, drawdown threshold, age limit, or weekend rule triggers. The cycle then restarts fresh at current market conditions, resetting both variance accumulation and grid-level exposure back to zero.

The EA features three distinct grid algorithms that activate automatically based on detected market regime:

• BGT (Bi-Directional Grid Trading) — places both buy and sell orders at each level. Designed for ranging markets where volatility dominates drift. This is the default mode.
• TGT (Trending Grid Trading) — places stop orders in the trend direction only, with no per-trade take profit and basket-level exit. Activates when a trend is detected via the sigma/mu ratio or a CUSUM structural break.
• MGT (Mean-Reversion Grid Trading) — places counter-trend limit orders only, with take profit toward the anchor. Activates after a failed TGT cycle to capture the post-trend reversion.

Mode selection happens automatically at each cycle restart based on the VolatilityGate (ATR/drift ratio with cooldown) and CPDEngine (frozen-baseline CUSUM structural break detector).

Recommended Setup

Key Features

Regime Detection and Mode Switching

• VolatilityGate computes the sigma_t / mu_t ratio (ATR vs. drift magnitude) on a configurable regime timeframe (default H4) with cooldown-based state transitions.
• CPDEngine runs a frozen-baseline CUSUM structural break detector to identify abrupt regime changes that the continuous ratio filter may detect too gradually.
• Three start gates prevent cycle deployment into hostile conditions: CPD block, price-level filter near recent extremes, and optional BGT disable mode.

Adaptive Grid Infrastructure

• ATR-dynamic spacing recalculates grid width from daily ATR at each cycle restart, so spacing tracks the instrument's current volatility rather than using a fixed pip value.
• Equity-based dynamic lot sizing (Remark 42 from the thesis) compounds base lot upward during profitable operation and scales down during drawdowns.
• Mild multiplier or stress-responsive dynamic lot mode for per-level sizing within a cycle.

Cycle Management

• Equity-based drawdown kill switch (runs every tick) with optional tighter threshold for MGT mode.
• Profit-target basket close with automatic restart — the variance reset mechanism from the research.
• Unconditional age-based restart (default 72 hours) — justified by the exponential variance growth proof.
• Weekend flat close on Friday with delayed restart on Monday — protection against gap risk.

Diagnostics Pipeline

• CSV logging of per-bar snapshots (30 fields), per-cycle summaries (28 fields), and event records (7 fields).
• L_t formula computation, snapshot RPR, path-aware L_t, and Theorem 52/53 ruin probability diagnostics.
• Two companion Python scripts for post-run analysis and cross-run parameter calibration.

Backtest Results

File Structure

The EA consists of one main file, nine header modules, and two companion Python scripts:

MQL5 Source Files

Python Companion Scripts  

Input Parameters Overview

The EA exposes 12 input groups. Key parameters are listed below with their defaults. All parameters are documented in the source code and explained in the accompanying article series.

Research Basis

The EA is based on the following academic work by Aldo Taranto and Manzur Khan at the University of Southern Queensland:

• Gambler's Ruin Problem and Bi-Directional Grid Constrained Trading and Investment Strategies — IMFI, 2020
• Drawdown and Drawup of Bi-Directional Grid Constrained Stochastic Processes — JMS, 2020
• Application of Bi-Directional Grid Constrained Stochastic Processes to Algorithmic Trading — JMS, 2021
• Iterated Logarithm Bounds of Bi-Directional Grid Constrained Stochastic Processes — GSA, 2021
• Bi-Directional Grid Constrained Stochastic Processes and Their Applications in Mathematical Finance — PhD Thesis, 2022

A detailed companion article series explains the mathematical foundations and walks through the implementation of each module which will be published soon.