An asymptotic expansion approach to the valuation of vulnerable options under a multiscale stochastic volatility model

Jaegi Jeon, Geonwoo Kim and Jeonggyu Huh

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: In this study, we examine the pricing of vulnerable options under a stochastic volatility model based on the partial differential equation approach. Specifically, we consider a multiscale stochastic volatility model that is assumed to be driven by two diffusions (fast-scale and slow-scale) and use an asymptotic expansion approach to drive the approximate pricing formulas of vulnerable options, which allows the counterparty credit risk at maturity. Furthermore, we provide the Greek Delta of vulnerable options for the dynamic hedge and present the numerical results to examine the effect of the multiscale stochastic volatility model and to show the accuracy of our formula.

Keywords: Vulnerable option; Multiscale stochastic volatility; Asymptotic expansion; Greek Delta (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077920310328

DOI: 10.1016/j.chaos.2020.110641

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