Statistical arbitrage in jump-diffusion models with compound poisson processes

Date
2021-02-26
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Source Title
Annals of Operations Research
Print ISSN
02545330
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Publisher
Springer Nature
Volume
313
Issue
2
Pages
1357 - 1371
Language
English
Type
Article
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Abstract

We prove the existence of statistical arbitrage opportunities for jump-diffusion models of stock prices when the jump-size distribution is assumed to have finite moments. We show that to obtain statistical arbitrage, the risky asset holding must go to zero in time. Existence of statistical arbitrage is demonstrated via ‘buy-and-hold until barrier’ and ‘short until barrier’ strategies with both single and double barrier. In order to exploit statistical arbitrage opportunities, the investor needs to have a good approximation of the physical probability measure and the drift of the stochastic process for a given asset.

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Keywords
Compound Poisson process, Jump-diffusion model, Monte Carlo simulation, Statistical arbitrage
Citation
Published Version (Please cite this version)