We propose a framework for constructing diversified portfolios with multiple pairs trading strategies. In our approach, several pairs of co-moving assets are traded simultaneously, and capital is dynamically allocated among different pairs based on the statistical characteristics of the...

We study a discrete time hedging and pricing problem in a market with the liquidity risk. We consider a discrete version of the constant elasticity of variance (CEV) model by applying Leland's discrete time replication scheme. The pricing equation becomes a nonlinear partial differential...

A traditional model for financial asset prices is that of a solution of a stochastic differential equation, driven by Brownian motion and Lebesgue measure; that is, a standard diffusion. The classic Black-Scholes model is a special case of this rubric. In some situations, however, such a model is...

We present a generalization of the two sample t-test for the equality of means to the case where the sample values have unequal weights. This is a natural situation in financial risk modelling where some samples are considered more reliable than others in predicting a common mean. We describe...

Numerous empirical studies have shown that certain exponential Levy models are able to fit the empirical distribution of daily financial returns quite well. By contrast, very few papers have considered intraday data in spite of their growing importance. In this paper, we fill this gap by...

Purpose – The purpose of this paper is to describe a generalization of the familiar two-sample t-test for equality of means to the case where the sample values are to be given unequal weights. This is a natural situation in financial risk modeling when some samples are considered more reliable...