The aim of this paper is to show, within the mean-variance framework, how the market belief can be constructed as the result of the aggregation of heterogeneous beliefs and how the market equilibrium prices of risky assets can thus be determined. The heterogeneous beliefs are defined in terms of...

This paper provides an extension of McKean’s (1965) incomplete Fourier transform method to solve the two-factor partial differential equation for the price and early exercise surface of an American call option, in the case where the volatility of the underlying evolves randomly. The...

Here I consider the dynamics of interest rate processes in the multi-factor model specified in Heath, Jarrow and Morton (1992). Despite its flexibility and theoretical advances, the number of empirical studies using the HJM model remains inadequate, principally because of the difficulty...

This paper examines two numerical methods for pricing of American spread options in the case where both underlying assets follow the jump-diffusion process of Merton (1976). We extend the integral equation representation for the American spread option presented by Broadie and Detemple (1997) to...

This paper considers a discrete-time model of a financial market with one risky asset and one risk-free asset, where the asset price and wealth dynamics is determined by the interaction of two groups of agents, fundamentalists and trend extrapolators. In each period each group allocates its...

Recently, Campbell and Viceira (2002) have introduced a framework that allows for dynamic decisions in asset allocation. This paper follows up their work by showing how uncertainties and expectations may affect consumption and portfolio decisions in an intertemporal dynamic framework. We use the...