Using an Euler discretization to simulate a mean-reverting CEV process gives rise to the problem that while the process itself is guaranteed to be nonnegative, the discretization is not. Although an exact and efficient simulation algorithm exists for this process, at present this is not the case...

This paper analyzes the optimal portfolio decision of a CRRA investor in models with stochastic volatility and stochastic jumps. The investor follows a buy-and-hold strategy in the stock, the money market account, and one additional derivative. We show that both the type of the model and the...

We introduce ambiguity about the variance of the risky asset's return in the model of Chacko and Viceira (2005) for dynamic consumption and portfolio choice with stochastic variance. We find that, with investors being able to update their portfolio continuously (as a function of the...

In this paper, dynamic option-based investment strategies are derived and illustrated for investors exhibiting downside loss aversion. The problem is solved in closed form when the stock market exhibits stochastic volatility and jumps. The specification of downside loss averse utility functions...