Title: Choosing an investment strategy by stochastic control

Authors: Amaresh Das

Addresses: College of Business, Southern University at New Orleans, New Orleans, LA 70126, USA; Department of Mathematics, University of New Orleans, New Orleans, LA 70148, USA

Abstract: A portfolio optimisation problem on an infinite time horizon is considered. Risky asset price obeys a logarithmic Brownian motion, and the interest rate varies according to a Markov diffusion process. This paper obtains an investment strategy considering one stock, one bond where the risk-free interest rate, the appreciation and the volatility of the stock depend on an external finite state Markov chain. We investigate the problem of maximising the expected utility from terminal wealth and solve it explicitly by stochastic control methods for a specific utility function U (x ) = logx.

Keywords: Markov chain; Brownian motion; portfolio strategy; investment strategy; stochastic control; portfolio optimisation; infinite time horizon.

DOI: 10.1504/IJCEE.2011.043249

International Journal of Computational Economics and Econometrics, 2011 Vol.2 No.2, pp.95 - 104

Published online: 22 Oct 2011 *

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