an approach to model spot prices that combines mean-reversion, spikes and stochastic volatility. Thereby we use different …

This paper derives an analytic expression for the distribution of the average volatility in the stochastic volatility …

simultaneous modeling of stochastic correlation and volatility. The solutions of the model are in closed form and include an … correlation risk is a non-negligible fraction of the myopic portfolio, which often dominates the pure volatility hedging demand …

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. …

This paper presents a new numerical method for pricing American call options when the volatility of the price of the … volatility changes, we derive an integral representation of an American call price and the early exercise premium which holds … under stochastic volatility. This representation is used to develop a numerical method for pricing the American options …

This paper provides regime-switching stochastic volatility extensions of the LIBOR market model. First, the … instantaneous forward LIBOR volatility is modulated by a continuous time homogeneous Markov chain. In a second parameterization, the … volatility is modelled by a square root process with a regime-switching reference level. We obtain analytical solutions for the …

The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for …

volatility and risk aversion that are similar to the ones observed in the data. In addition, the model produces an implied …

We derive a closed-form asymptotic expansion formula for option implied volatility under a two-factor jump …-diffusion stochastic volatility model when time-to-maturity is small. Based on numerical experiments we describe the range of time … free of the unobserved spot volatility. Therefore, the model can be calibrated on option data pooled across different …

. The analysis is performed in the framework of a two-factor model with local and stochastic volatility. We describe an … algorithm for building the power series approximation of implied volatility. In the case of CEV volatility of volatility we …