Practitioners in risk management are familiar with the use of the FHS (filtered historical simulation) to finding realistic simulations of security returns. This approach has become increasingly popular over the last fifteen years, as it is both flexible and reliable, and is now being accepted...

This paper examines a simple basis risk model based on correlated geometric Brownian motions. We apply quadratic criteria to minimize basis risk and hedge in an optimal manner. Initially, we derive the Föllmer–Schweizer decomposition for a European claim. This allows pricing and hedging under...

In this paper we formulate the Risk Management Control problem in the interest rate area as a constrained stochastic portfolio optimization problem. The utility that we use can be any continuous function and based on the viscosity theory, the unique solution of the problem is guaranteed. The...