Lévy Processes in Algorithmic Trading with Python: Advanced Stochastic Models for High-Frequency Trading

Reactive Publishing
In modern financial markets, traditional models like Black-Scholes fail to capture the complexity of asset price movements, especially during periods of volatility and extreme events. Lévy processes offer a powerful alternative by extending Brownian motion to account for jump dynamics, heavy-tailed distributions, and market microstructure effects—making them essential for algorithmic traders, quants, and risk analysts.
This book provides a practical, code-driven approach to implementing Lévy processes in Python for high-frequency trading (HFT), quantitative strategies, and risk modeling. Readers will learn how to simulate, calibrate, and apply advanced stochastic models such as Variance Gamma, Normal Inverse Gaussian, and Jump-Diffusion to real-world financial data.Key Topics Covered:
Introduction to Lévy Processes – Understanding how they extend Brownian motion for financial modeling
Simulating Lévy Processes in Python – Monte Carlo methods, Variance Gamma, and Jump-Diffusion models
High-Frequency Trading Applications – Using Lévy-driven models for price prediction and strategy development
Risk Management and Tail Events – Modeling extreme market movements and improving portfolio resilience
Parameter Estimation & Calibration – Implementing Maximum Likelihood Estimation (MLE) and Machine Learning techniques
Advanced Python Implementations – Full code examples using NumPy, SciPy, pandas, and JAX for speed optimization
Designed for quantitative traders, financial engineers, and algorithmic strategists, this book combines rigorous theory with hands-on Python code to give you a competitive edge in modern financial markets. Whether you are a quant developer, hedge fund researcher, or a data scientist, this book will elevate your understanding of financial modeling and trading strategy design.
Get your copy today and master the power of Lévy processes in algorithmic trading!