Implied Calibration and Moments Asymptotics in Stochastic Volatility Jump Diffusion Models

Implied Calibration and Moments Asymptotics in Stochastic Volatility Jump Diffusion Models
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Total Pages : 32
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ISBN-10 : OCLC:1290312920
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Book Synopsis Implied Calibration and Moments Asymptotics in Stochastic Volatility Jump Diffusion Models by : Stefano Galluccio

Download or read book Implied Calibration and Moments Asymptotics in Stochastic Volatility Jump Diffusion Models written by Stefano Galluccio and published by . This book was released on 2008 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the context of arbitrage-free modelling of financial derivatives, we introduce a novel calibration technique for models in the affine-quadratic class for the purpose of over-the-counter option pricing and risk-management. In particular, we aim at calibrating a stochastic volatility jump diffusion model to the whole market implied volatility surface at any given time. We study the asymptotic behaviour of the moments of the underlying distribution and use this information to introduce and implement our calibration algorithm. We numerically show that the proposed approach is both statistically stable and accurate.


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