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A Hull and White formula for a general stochastic volatility jump-diffusion model with applications to the study of the short-time behavior of the implied volatility
Alòs, Elisa; León, Jorge A.; Pontier, Monique; Vives, Josep
Universitat Pompeu Fabra. Departament d'Economia i Empresa
In this paper, generalizing results in Alòs, León and Vives (2007b), we see that the dependence of jumps in the volatility under a jump-diffusion stochastic volatility model, has no effect on the short-time behaviour of the at-the-money implied volatility skew, although the corresponding Hull and White formula depends on the jumps. Towards this end, we use Malliavin calculus techniques for Lévy processes based on Løkka (2004), Petrou (2006), and Solé, Utzet and Vives (2007).
Statistics, Econometrics and Quantitative Methods
hull and white formula
malliavin calculus
ito’s formula for the skorohod integral
jumpdiffusion stochastic volatility models
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