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+# Trading Strategy Simulations
+
+This directory contains Python scripts for simulating and analyzing advanced trading techniques.
+
+## Scripts
+
+### 1. martingale_simulation.py
+Analyzes the statistical properties and risk of martingale strategies.
+
+**Key Analyses:**
+- Ruin probability calculations
+- Position size growth
+- Required capital analysis
+- Monte Carlo simulations
+
+**Usage:**
+```bash
+python martingale_simulation.py
+```
+
+**Output:**
+- `martingale_analysis.png`: Comprehensive analysis plots
+- Console output with statistics
+
+### 2. trailing_stop_analysis.py
+Compares fixed stop loss vs trailing stop loss performance.
+
+**Key Analyses:**
+- Return distribution comparison
+- Sharpe ratio improvement
+- Exit timing analysis
+- Sample price path visualization
+
+**Usage:**
+```bash
+python trailing_stop_analysis.py
+```
+
+**Output:**
+- `trailing_stop_analysis.png`: Comparison plots
+- Console output with performance metrics
+
+### 3. partial_exit_analysis.py
+Analyzes the statistical benefits of partial exits.
+
+**Key Analyses:**
+- Variance reduction calculation
+- Sharpe ratio optimization
+- Optimal exit percentage
+- Return distribution comparison
+
+**Usage:**
+```bash
+python partial_exit_analysis.py
+```
+
+**Output:**
+- `partial_exit_analysis.png`: Analysis plots
+- Console output with optimization results
+
+### 4. grid_trading_analysis.py
+Analyzes grid trading performance in different market conditions.
+
+**Key Analyses:**
+- Mean-reverting vs trending market performance
+- Optimal grid spacing
+- Trade frequency analysis
+- Profit distribution
+
+**Usage:**
+```bash
+python grid_trading_analysis.py
+```
+
+**Output:**
+- `grid_trading_analysis.png`: Market condition comparison
+- Console output with performance metrics
+
+## Installation
+
+```bash
+pip install -r requirements.txt
+```
+
+## Running All Simulations
+
+```bash
+# Run all simulations
+python martingale_simulation.py
+python trailing_stop_analysis.py
+python partial_exit_analysis.py
+python grid_trading_analysis.py
+```
+
+## Output Location
+
+All figures are saved to `../figures/` directory:
+- `martingale_analysis.png`
+- `trailing_stop_analysis.png`
+- `partial_exit_analysis.png`
+- `grid_trading_analysis.png`
+
+## Mathematical Foundations
+
+These simulations implement:
+- Geometric Brownian Motion for price simulation
+- Ornstein-Uhlenbeck process for mean-reverting prices
+- Monte Carlo methods for statistical analysis
+- Kelly Criterion for position sizing
+- Sharpe ratio and other risk-adjusted metrics
+
+## Notes
+
+- Simulations use random number generation - results may vary slightly between runs
+- For reproducible results, set random seeds in scripts
+- Adjust parameters in each script to match your trading conditions
+- Results are illustrative - actual trading results will vary