Probabilistic Predictions of Option Prices with Modular Approximate Bayesian Inference

Fuente: arXiv
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Autori principali: Maneesoonthorn, Worapree, Frazier, David T., Martin, Gael M.
Natura: Preprint
Pubblicazione: 2024
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author Maneesoonthorn, Worapree
Frazier, David T.
Martin, Gael M.
author_facet Maneesoonthorn, Worapree
Frazier, David T.
Martin, Gael M.
contents A new approximate Bayesian inferential framework is proposed that exploits multiple information sources -- daily spot returns, high-frequency spot data and option prices -- and enables fast calculation of probabilistic predictions of future option prices. This approach operates directly from the theoretical option pricing model, and does not require an explicit statistical model, or likelihood, for the observed option prices. We demonstrate that our approach produces accurate probabilistic option-price predictions in realistic scenarios and, despite not explicitly modelling option-pricing errors via a statistical model, the method is shown to be robust to the presence of such errors. Predictive accuracy based on the Heston option pricing model is illustrated empirically for short-maturity options, with the rapidity of real-time updates of the predictive distributions highlighted.
format Preprint
id arxiv_https___arxiv_org_abs_2412_00658
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Probabilistic Predictions of Option Prices with Modular Approximate Bayesian Inference
Maneesoonthorn, Worapree
Frazier, David T.
Martin, Gael M.
Statistical Finance
Computation
Methodology
A new approximate Bayesian inferential framework is proposed that exploits multiple information sources -- daily spot returns, high-frequency spot data and option prices -- and enables fast calculation of probabilistic predictions of future option prices. This approach operates directly from the theoretical option pricing model, and does not require an explicit statistical model, or likelihood, for the observed option prices. We demonstrate that our approach produces accurate probabilistic option-price predictions in realistic scenarios and, despite not explicitly modelling option-pricing errors via a statistical model, the method is shown to be robust to the presence of such errors. Predictive accuracy based on the Heston option pricing model is illustrated empirically for short-maturity options, with the rapidity of real-time updates of the predictive distributions highlighted.
title Probabilistic Predictions of Option Prices with Modular Approximate Bayesian Inference
topic Statistical Finance
Computation
Methodology
url https://arxiv.org/abs/2412.00658