We describe the maximum likelihood method as a mechanism for estimating parameters in stochastic differential equations used to describe the behavior of financial variables. Are considered special cases of the Black-Scholes model and Vasicek, for which estimates are derived parameters that...

In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments. In models which take multiple economic factors into account, this problem is...

This paper studies the effect of variance swap in hedging volatility risk under the mean-variance criterion. We consider two mean-variance portfolio selection problems under Heston's stochastic volatility model. In the first problem, the financial market is complete and contains three primitive...