Author(s)

Rossano Giandomenico

Independent Research Scientist, Chieti, Italy.

The study analyses some problems arising in stochastic volatility models by using Ito’s lemma and its applications to boundary Cauchy problem by giving the solution of vanilla option pricing models satisfying the partial differential equation obtained by assuming stochastic volatility in replication problems and risk neutral probability.

Contingent Claim, Stochastic Volatility, Ito’s Lemma, Cauchy problem, Bivariate

Giandomenico, R. (2015) Option Pricing with Stochastic Volatility. Journal of Applied Mathematics and Physics, 3, 1645-1653. doi: 10.4236/jamp.2015.312189.