The paper presents a pricing rule for market models with stochastic volatility and with an uncertainty in its evolution law. It is shown that the most common stochastic volatility models allow a possibility that the option price calculated for random volatility with an error in volatility...

We consider a stochastic model for a defined-contribution pension fund in continuous time. In particular, we focus on the portfolio problem of a fund manager who wants to maximize the expected utility of his terminal wealth in a complete financial market. The fund manager must cope with a set of...

In an incomplete financial market where an investor maximizes the expected HARA utility of his terminal real wealth, we present an algebraic approximated solution for the optimal portfolio composition. We take into account : (i) a (finite) set of assets, (ii) a (finite) set of state variables...