Simulating Trades Under a Levy-Driven Mean-Reverting Framework

Monte Carlo simulation for pairs trading with jumps — theory & implementation

Tim Leung, Ph.D.
Quantitative Investing
2 min readJan 21, 2024

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Photo by Hans-Jürgen Weinhardt 2019

We present a Monte Carlo framework for pairs trading on mean-reverting spreads modeled by Levy-driven Ornstein-Uhlenbeck processes. Specifically, we focus on using a variance gamma driving process, an infinite activity pure jump…

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Tim Leung, Ph.D.
Quantitative Investing

Boeing Endowed Chair Professor of Applied Math, Director of the Computational Finance & Risk Management (CFRM) Program at University of Washington in Seattle