Brownian motion. -- asymptotic uniformity ; local limit theorem ; volatility …

financial market that features volatility uncertainty. To have a mathematical consistent framework we use the notion of G … this more complex situation and consider stock price dynamics which exclude arbitrage opportunities. Due to volatility … claims and deduce explicit results in a Markovian setting. -- Pricing of contingent claims ; incomplete markets ; volatility …

virtually any stochastic volatility model model can be approximated arbitrarily well by a carefully chosen continuous time … illustrates these contributions of the paper, estimating a stochastic volatility jump diffusion model …

In this paper we examine the empirical performance of affine jump diffusion models with stochastic volatility in a time … method. The support for a stochastic volatility model including jumps in both prices and volatility is strong and the model …

the pricing of European-style foreign currency options and for the volatility strike structure implicit in these contracts … is devoloped. The curvature of the volatility strike structure is explained by focusing attention on the expected … characteristic convex shape of volatility strike structures documented in the empirical literature. A volatility-based test for …

We focus on closed-form option pricing in Heston s stochastic volatility model, in which closed-form formulas exist …

comparison is the choice of the fastest method for the calibration of stochastic volatility models, e.g. Heston, Bates, Barndorff …

We consider a stochastic volatility model of the mean-reverting type to describe the evolution of a firm’s values … default probability. Our simulation results indicate that the stochastic volatility model tends to predict higher default … probabilities than the corresponding Merton model if a firm’s credit quality is not too low. Otherwise the stochastic volatility …

We are concerned with the valuation of European options in Heston's stochastic volatility model with correlation. Based …'s solution based on Fourier inversion and investigate the accuracy of the derived pricing formulae. -- Stochastic volatility …