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Research Article | Open Access

An analytical approximation formula for European option prices under a liquidity-adjusted non-affine stochastic volatility model

Shoude Huang1Xin-Jiang He2( )
School of Mathematics and Computer Science, Anshun University, Anshun, Guizhou, China
School of Economics, Zhejiang University of Technology, Hangzhou, China
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Abstract

In this paper, we investigate the pricing of European options under a liquidity-adjusted non-affine stochastic volatility model. An analytical European option pricing formula is successfully derived with the COS method, based on an approximation for the characteristic function of the underlying log-asset price. Numerical analysis reveals that our results are very efficient and of reasonable accuracy, and we also present some sensitivity analysis to demonstrate the effects of different parameters on option prices.

CLC number: 91G20

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AIMS Mathematics
Pages 10364-10377

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Cite this article:
Huang S, He X-J. An analytical approximation formula for European option prices under a liquidity-adjusted non-affine stochastic volatility model. AIMS Mathematics, 2022, 7(6): 10364-10377. https://doi.org/10.3934/math.2022577

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Received: 13 January 2022
Revised: 08 March 2022
Accepted: 09 March 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)