Files
QuanTAlib/lib/feeds/gbm/GBM.md
T
Miha Kralj 74b49d2bb4 Add TBar, TBarSeries, TSeries, TValue, and IFeed implementations with comprehensive documentation and examples
- Introduced TBar struct for efficient OHLCV data representation.
- Implemented TBarSeries class for high-performance collection of TBar instances using Structure of Arrays (SoA) layout.
- Added TSeries class for time-series data management with zero-copy access.
- Created TValue struct for time-value pairs with implicit conversions.
- Defined IFeed interface for consistent data feed implementations.
- Developed CsvFeed class for loading historical OHLCV data from CSV files.
- Implemented GBM class for generating synthetic financial data using Geometric Brownian Motion.
- Added Quantower project files for Averages indicator with necessary dependencies and configurations.
- Included extensive usage examples and notebooks for TBar, TBarSeries, TSeries, TValue, and feed implementations.
2025-11-27 19:51:43 -08:00

68 lines
2.0 KiB
Markdown

# GBM Class
`GBM` (Geometric Brownian Motion) is a synthetic data generator that simulates realistic financial price movements. It is useful for testing indicators, strategies, and system performance without relying on external data files.
## Key Features
- **Geometric Brownian Motion**: Uses the standard mathematical model for asset price dynamics.
- **Configurable Parameters**: Control drift (trend) and volatility (noise).
- **Stateless Design**: Minimal memory footprint; only maintains state needed for continuity.
- **Dual Modes**: Supports both streaming (bar-by-bar) and batch generation.
- **Intra-bar Updates**: Can simulate real-time price updates within a single bar.
## Mathematical Model
The price evolution follows the stochastic differential equation:
$$ dS_t = \mu S_t dt + \sigma S_t dW_t $$
Where:
- $S_t$: Asset price at time $t$
- $\mu$: Drift (expected return)
- $\sigma$: Volatility (standard deviation of returns)
- $W_t$: Wiener process (Brownian motion)
## Class Definition
```csharp
public class GBM : IFeed
{
public GBM(double startPrice = 100.0, double mu = 0.05, double sigma = 0.2, TimeSpan? defaultTimeframe = null);
public TBar Next(bool isNew = true);
public TBarSeries Fetch(int count, long startTime, TimeSpan interval);
}
```
## Usage
### 1. Initialization
```csharp
// Default: Start at 100, 5% drift, 20% volatility
var gbm = new GBM();
// Custom: Start at 50, 10% drift, 50% volatility
var volatileGbm = new GBM(startPrice: 50.0, mu: 0.10, sigma: 0.50);
```
### 2. Streaming Generation
```csharp
// Generate a new bar
var bar = gbm.Next(isNew: true);
// Simulate intra-bar updates (e.g., real-time ticks)
for (int i = 0; i < 5; i++)
{
var updatedBar = gbm.Next(isNew: false);
Console.WriteLine($"Update: {updatedBar.Close}");
}
```
### 3. Batch Generation
```csharp
long startTime = DateTime.UtcNow.Ticks;
var interval = TimeSpan.FromMinutes(1);
// Generate 1000 bars
var history = gbm.Fetch(1000, startTime, interval);