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Option pricing and implied volatilities in a 2-hypergeometric stochastic volatility model.

Authors :
Privault, Nicolas
She, Qihao
Source :
Applied Mathematics Letters. Mar2016, Vol. 53, p77-84. 8p.
Publication Year :
2016

Abstract

We derive closed-form analytical approximations in terms of series expansions for option prices and implied volatilities in a 2-hypergeometric stochastic volatility model with correlated Brownian motions. As in Han et al. (2013), these expansions allow us to recover the well-known skew and smile phenomena on implied volatility surfaces, depending on the values of the correlation parameter. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08939659
Volume :
53
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
111169259
Full Text :
https://doi.org/10.1016/j.aml.2015.09.008