CVA in fractional and rough volatility models

Elisa Alòs, Fabio Antonelli, Alessandro Ramponi and Sergio Scarlatti

Applied Mathematics and Computation, 2023, vol. 442, issue C

Abstract: In this work we present a general representation formula for the price of a vulnerable European option, and the related CVA in stochastic (either rough or not) volatility models for the underlying’s price, when admitting correlation with the default event. We specialize it for some volatility models and we provide price approximations, based on the representation formula. We study numerically their accuracy, comparing the results with Monte Carlo simulations, and we run a theoretical study of the error. We also introduce a seminal study of roughness influence on the claim’s price.

Keywords: Credit Value Adjustment; Vulnerable Options; Rough volatility models; Intensity approach (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322007834

DOI: 10.1016/j.amc.2022.127715

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