The purpose of this paper is to apply a belief rule-based (BRB) system to solve the multi-asset class portfolio optimisation problems. The BRB system, was developed on the basis of the concept of belief structures and the evidential reasoning (ER) approach, is a generic non-linear modelling and...

The purpose of this paper is to apply a belief rule-based (BRB) system to solve the multi-asset class portfolio optimisation problems. The BRB system, was developed on the basis of the concept of belief structures and the evidential reasoning (ER) approach, is a generic non-linear modelling and...

Abstract In this paper, we apply importance sampling to Heston's stochastic volatility model and Bates's stochastic volatility model with jumps. We propose an effective numerical scheme that dramatically improves the speed of importance sampling. We show how the Greeks can be computed using the...

In this paper, we adopt a partial differential equation (PDE) approach to calculate price and risk measures for mortgage backed securities (MBS). The interest rate path-dependency is handled by an augmented state variable with discrete updating. Compared with the Monte Carlo method, valuation...

This paper provides a strategy for portfolio risk management by inferring extreme movements in financial markets. The core of the provided strategy is a statistical model for the joint tail distribution that attempts to capture accurately the data generating process through an extremal modelling...