In this paper we analyze the superreplication approach in stochastic volatility models in the case of European multiasset derivatives. We prove that the Black-Scholes-Barenblatt (BSB) equation gives a superhedging strategy even if its solution is not twice differentiable. This is done under...

In this paper we analyze the superreplication approach in stochastic volatility models in the case of European multiasset derivatives. We prove that the Black-Scholes-Barenblatt (BSB) equation gives a superhedging strategy even if its solution is not twice differentiable. This is done under...

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 with stochastic interest rate. The fund...

The Kyle (1985) and Back (1992) model of continuous-time asset pricing with asymmetric information is studied. A larger class of price processes is considered, namely price processes that allow the price to depend in a certain way on the path of the market order. A no expected (or inconspicuous...

When the application of pesticides placesselective evolutionary pressure on pestpopulations it can be useful to plant refugeareas: crop areas intended to encourage thebreeding of pests susceptible to the pesticide. Renewed interest in refuge areas has arisenwith recent advances in biotechnology...