In this paper the performance of locally risk-minimizing hedge strategies for European options in stochastic volatility models is studied from an experimental as well as from an empirical perspective. These hedge strategies are derived for a large class of diffusion-type stochastic volatility...

This paper derives an analytic expression for the distribution of the average volatility in the stochastic volatility model of Hull and White. This result answers a longstanding question, posed by Hull and White (Journal of Finance 42, 1987), whether such an analytic form exists. Our findings...

This paper develops a closed-form model for options on commodities under the assumptions of mean-reversion in the commodity prices and regime-switching in the commodity returns volatility. After a closed-form solution for the option value in constant regimes has been developed, the model is...

This paper investigates the use of the asymptotic Heston solution in locally risk minimizing hedging. The asymptotic Heston solution is presented along with issues that are relevant to its use. Comparison between the exact and asymptotic Heston hedges are made using both simulated and real...