Portfolio choice with jumps: A closed-form solution
Probability
2009-06-15 v1
Abstract
We analyze the consumption-portfolio selection problem of an investor facing both Brownian and jump risks. We bring new tools, in the form of orthogonal decompositions, to bear on the problem in order to determine the optimal portfolio in closed form. We show that the optimal policy is for the investor to focus on controlling his exposure to the jump risk, while exploiting differences in the Brownian risk of the asset returns that lies in the orthogonal space.
Keywords
Cite
@article{arxiv.0906.2324,
title = {Portfolio choice with jumps: A closed-form solution},
author = {Yacine Aït-Sahalia and Julio Cacho-Diaz and T. R. Hurd},
journal= {arXiv preprint arXiv:0906.2324},
year = {2009}
}
Comments
Published in at http://dx.doi.org/10.1214/08-AAP552 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)