A belief rule-based (BRB) system is a generic nonlinear modelling and inference scheme. It is based on the concept of belief structures and evidential reasoning (ER), and has been shown to be capable of capturing complicated nonlinear causal relationships between antecedent attributes and...

The purpose of this paper is to apply a belief rule-based (BRB) system to solve the multiasset 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...

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...

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...

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...