5,060 research outputs found
Risk-sensitive investment in a finite-factor model
A new jump diffusion regime-switching model is introduced, which allows for
linking jumps in asset prices with regime changes. We prove the existence and
uniqueness of the solution to the risk-sensitive asset management criterion
maximisation problem in this setting. We provide an ODE for the optimal value
function, which may be efficiently solved numerically. Relevant probability
measure changes are discussed in the appendix. The approach of Klebaner and
Lipster (2014) is used to prove the martingale property of the relevant density
processes.Comment: 23 pages, 1 figur
A Proposal of Portfolio Choice for Infinitely Divisible Distributions of Assets Returns
In the paper we present a proposal of augmenting portfolio analysis for the infinitely divisible distributions of returns - so that the prices of assets can follow LĂ©vy processes. In this article we propose a model in which asset prices follow multidimensional LĂ©vy process and the interdependence between assets are described by covariance and multidimensional jump measure. Then we propose to choose the optimal portfolio based on three criteria: mean return, total variance of diffusion and a measure of jump risk. We also consider augmenting this multi-criteria choice setup for the costs of possible portfolio adjustments.portfolio analysis, LĂ©vy processes, jump-diffusion models
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