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zhutoutoutousan 5b44e14211 Update
2026-01-05 05:37:33 +01:00

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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