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OPTIMAL INVESTMENT FOR A DEFINED-CONTRIBUTION PENSION SCHEME UNDER A REGIME SWITCHING MODEL

Published online by Cambridge University Press:  20 January 2015

An Chen  and
Łukasz Delong
An Chen
Affiliation:
Institute of Insurance Science, University of Ulm, Helmholtzstrasse 20, 89069 Ulm, Germany E-Mail: an.chen@uni-ulm.de
Łukasz Delong*
Affiliation:
Department of Probabilistic Methods, Institute of Econometrics, Warsaw School of Economics, Niepodleglosci 162, Warsaw 02-554, Poland
*
E-Mail: lukasz.delong@sgh.waw.pl
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Abstract

We study an asset allocation problem for a defined-contribution (DC) pension scheme in its accumulation phase. We assume that the amount contributed to the pension fund by a pension plan member is coupled with the salary income which fluctuates randomly over time and contains both a hedgeable and non-hedgeable risk component. We consider an economy in which macroeconomic risks are existent. We assume that the economy can be in one of I states (regimes) and switches randomly between those states. The state of the economy affects the dynamics of the tradeable risky asset and the contribution process (the salary income of a pension plan member). To model the switching behavior of the economy we use a counting process with stochastic intensities. We find the investment strategy which maximizes the expected exponential utility of the discounted excess wealth over a target payment, e.g. a target lifetime annuity.

Keywords

Exponential utility maximizationmacroeconomic riskscertainty equivalentbackward stochastic differential equations
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 45 , Issue 2 , May 2015 , pp. 397 - 419
Copyright
Copyright © ASTIN Bulletin 2015 

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