Calibration of stochastic volatility models via second order approximation: the Heston model case


Autoria(s): Alòs, Elisa; De Santiago, Rafael; Vives, Josep
Contribuinte(s)

Universitat Pompeu Fabra. Departament d'Economia i Empresa

Data(s)

26/11/2012

Resumo

Using a suitable Hull and White type formula we develop a methodology to obtain asecond order approximation to the implied volatility for very short maturities. Using thisapproximation we accurately calibrate the full set of parameters of the Heston model. Oneof the reasons that makes our calibration for short maturities so accurate is that we alsotake into account the term-structure for large maturities. We may say that calibration isnot "memoryless", in the sense that the option's behavior far away from maturity doesinfluence calibration when the option gets close to expiration. Our results provide a wayto perform a quick calibration of a closed-form approximation to vanilla options that canthen be used to price exotic derivatives. The methodology is simple, accurate, fast, andit requires a minimal computational cost.

Identificador

http://hdl.handle.net/10230/19913

Idioma(s)

eng

Direitos

L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons

info:eu-repo/semantics/openAccess

<a href="http://creativecommons.org/licenses/by-nc-nd/3.0/es/">http://creativecommons.org/licenses/by-nc-nd/3.0/es/</a>

Palavras-Chave #Statistics, Econometrics and Quantitative Methods
Tipo

info:eu-repo/semantics/workingPaper