Use a reduced Heston or reduce the use of Heston?

F.M.Y. Guillaume, W. Schoutens

Onderzoeksoutput: Boek/rapportRapportAcademic

86 Downloads (Pure)

Samenvatting

This paper features the calibration performance of the Heston model for two different calibration procedures. The first consists of the standard calibration on the whole parameter set and the second one, called reduced calibration consists of a calibration on the reduced parameter set {\kappa,\lambda,\rho} where the spot variance v0 and the long run variance \eta are inferred beforehand from the time series of the VIX volatility index. It is shown that both calibration procedures lead to an accurate fit of the vanilla option surface. Furthermore both the computation time and the calibration risk of the reduced calibration procedure turns out to be significantly lower, which might turn out to be a considerable advantage for practitioners. This paper also features a comparison of the price of different exotic options for the two calibration procedures.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijEurandom
Aantal pagina's22
StatusGepubliceerd - 2010

Publicatie series

NaamReport Eurandom
Volume2010003
ISSN van geprinte versie1389-2355

Vingerafdruk

Duik in de onderzoeksthema's van 'Use a reduced Heston or reduce the use of Heston?'. Samen vormen ze een unieke vingerafdruk.

Citeer dit