This paper analyzes optimal portfolio choice and consumption with stochastic volatility in incomplete markets. Using … for stocks under stochastic volatility varies strongly with the investor's coefficient of relative risk aversion, but only … preference parameters. This paper also shows that stochastic variation in volatility produces an optimal intertemporal hedging …

the mean and volatility of equity returns. Our model assumes a small risk of a rare disaster that is calibrated based on … turns out to be crucial to the model's ability to explain both equity volatility and option prices. We explore different …

the exchange rate volatility, cyclicality and the FX risk premia in the data …

. These features motivate us to build a model in which increased volatility of firm level productivity shocks generates a … limit firms' ability to insure against shocks. Hence, an increase in idiosyncratic volatility induces firms to reduce their …

impose tight upper and lower bounds on the implied volatility …

We implement a multifrequency volatility decomposition of three exchange rates and show that components with similar …) introduced in Calvet and Fisher (2001, 2004). Bivariate MSM is a stochastic volatility model with a closed-form likelihood …

examines the implications of stochastic volatility and jumps for option valuation. This example highlights the impact on option … amp;apos;smirksamp;apos; of the joint distribution of jumps in volatility and jumps in the underlying asset price, through …