Robust maximization of asymptotic growth

Kardaras, Constantinos ORCID: 0000-0001-6903-4506 and Robertson, Scott (2012) Robust maximization of asymptotic growth. Annals of Applied Probability, 22 (4). pp. 1576-1610. ISSN 1050-5164

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Abstract

This paper addresses the question of how to invest in a robust growth-optimal way in a market where the instantaneous expected return of the underlying process is unknown. The optimal investment strategy is identified using a generalized version of the principal eigenfunction for an elliptic second-order differential operator which depends on the covariance structure of the underlying process used for investing. The robust growth-optimal strategy can also be seen as a limit, as the terminal date goes to infinity, of optimal arbitrages in the terminology of Fernholz and Karatzas.

Item Type:	Article
Official URL:	http://www.imstat.org/aap/
Additional Information:	© 2012 Institute of Mathematical Statistics
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics H Social Sciences > HB Economic Theory
JEL classification:	G - Financial Economics > G1 - General Financial Markets > G10 - General
Date Deposited:	30 Jul 2012 13:27
Last Modified:	06 Jan 2024 03:09
URI:	http://eprints.lse.ac.uk/id/eprint/44994

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