Fast and explicit European option pricing under tempered stable processes

Fuente: arXiv
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Autori principali: Agazzotti, Gaetano, Aguilar, Jean-Philippe
Natura: Preprint
Pubblicazione: 2025
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author Agazzotti, Gaetano
Aguilar, Jean-Philippe
author_facet Agazzotti, Gaetano
Aguilar, Jean-Philippe
contents We provide series expansions for the tempered stable densities and for the price of European-style contracts in the exponential Lévy model driven by the tempered stable process. These formulas recover several popular option pricing models, and become particularly simple in some specific cases such as bilateral Gamma process and one-sided TS process. When compared to traditional Fourier pricing, our method has the advantage of being hyperparameter free. We also provide a detailed numerical analysis and show that our technique is competitive with state-of-the-art pricing methods.
format Preprint
id arxiv_https___arxiv_org_abs_2510_01211
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fast and explicit European option pricing under tempered stable processes
Agazzotti, Gaetano
Aguilar, Jean-Philippe
Computational Finance
Probability
60G51, 60E07, 60E10, 30B20, 91G20
We provide series expansions for the tempered stable densities and for the price of European-style contracts in the exponential Lévy model driven by the tempered stable process. These formulas recover several popular option pricing models, and become particularly simple in some specific cases such as bilateral Gamma process and one-sided TS process. When compared to traditional Fourier pricing, our method has the advantage of being hyperparameter free. We also provide a detailed numerical analysis and show that our technique is competitive with state-of-the-art pricing methods.
title Fast and explicit European option pricing under tempered stable processes
topic Computational Finance
Probability
60G51, 60E07, 60E10, 30B20, 91G20
url https://arxiv.org/abs/2510.01211