%0 DATA
%A KAUSTAV, DAS
%D 2019
%T Closed-form approximations for option prices in stochastic volatility models via the mixing solution
%U https://bridges.monash.edu/articles/thesis/Closed-form_approximations_for_option_prices_in_stochastic_volatility_models_via_the_mixing_solution/11309306
%R 10.26180/5de607587f997
%2 https://bridges.monash.edu/ndownloader/files/20042738
%K Closed-form approximation
%K Closed-form expansion
%K Stochastic Volatility
%X We consider the classical European option pricing problem in a general stochastic volatility framework with time-dependent parameters. It is possible to express the price of a European option as the expectation of a functional of the integrated variance process. In particular, this functional itself is similar to that of a Black-Scholes formula, which possesses many well studied properties. From there, it is possible to utilise expansion techniques to approximate the option price in a closed-form manner. We achieve this using two different types of approaches, one contingent on change of measure techniques, the other on Malliavin calculus machinery.