CVA in fractional and rough volatility models. (English) Zbl 1511.91147
Summary: 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.
MSC:
| 91G20 | Derivative securities (option pricing, hedging, etc.) |
| 91G40 | Credit risk |
| 60H30 | Applications of stochastic analysis (to PDEs, etc.) |
Software:
Deep xVA solverReferences:
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