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Estimating Option Pricing Models Using a Characteristic Function-Based Linear State Space Representation

H. Peter Boswijk, Roger J. A. Laeven, Evgenii Vladimirov

arXiv 12 Oct 2022 · Econometrics · publishedJournal of Econometrics (2024) · 3 citations (OpenAlex)

arXiv:2210.06217 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We develop a novel filtering and estimation procedure for parametric option pricing models driven by general affine jump-diffusions. Our procedure is based on the comparison between an option-implied, model-free representation of the conditional log-characteristic function and the model-implied conditional log-characteristic function, which is functionally affine in the model's state vector. We formally derive an associated linear state space representation and establish the asymptotic properties of the corresponding measurement errors. The state space representation allows us to use a suitably modified Kalman filtering technique to learn about the latent state vector and a quasi-maximum likelihood estimator of the model parameters, which brings important computational advantages. We analyze the finite-sample behavior of our procedure in Monte Carlo simulations. The applicability of our procedure is illustrated in two case studies that analyze S&P 500 option prices and the impact of exogenous state variables capturing Covid-19 reproduction and economic policy uncertainty.

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71
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148
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1andersen2015parametric APACrefauthors Andersen, T G. , Fusari, N. \… (2015) 2015 11.00074100%
2DPS2000 APACrefauthors Duffie, D. , Pan, J. \ Singleton, K. APACrefa… (2000) 20000.94112683%
3todorov2019nonparametric APACrefauthors Todorov, V. APACrefauthors \ (2019) 20190.9285480%
4heston1993 APACrefauthors Heston, S L. APACrefauthors \ (1993) 19930.9285380%
5AFT2017 APACrefauthors Andersen, T G. , Fusari, N. \ Todorov, V. APA… (2017) 20170.92843100%
6broadie2007model APACrefauthors Broadie, M. , Chernov, M. \ Johannes… (2007) 20070.92843100%
7jong2000time APACrefauthors de Jong, F. APACrefauthors \ (2000) 20000.92843100%
8pan2002 APACrefauthors Pan, J. APACrefauthors \ (2002) 20020.92843100%
9bardgett2019inferring APACrefauthors Bardgett, C. , Gourier, E. \ Le… (2019) 20190.8434475%
10piazzesi2010affine APACrefauthors Piazzesi, M. APACrefauthors \ (2010) 20100.84333100%

Showing the top 10 of 71 scored citations.