The Investment Horizon Problem: A Resolution

31 Pages Posted: 1 Nov 2009

See all articles by Knut K. Aase

Knut K. Aase

Norwegian School of Economics (NHH) - Department of Business and Management Science

Date Written: September 15, 2009

Abstract

In the canonical model of investments, the optimal fractions in the risky assets do not depend on the time horizon. This is against empirical evidence, and against the typical recommendations of portfolio managers. We demonstrate that if the intertemporal coefficient of relative risk aversion is allowed to depend on time, or the age of the investor, the investment horizon problem can be resolved. Accordingly, the only standard assumption in applied economics/finance that we relax in order to obtain our conclusion, is the state and time separability of the intertemporal felicity index in the investor’s utility function. We include life and pension insurance, and we also demonstrate that preferences aggregate.

Keywords: investment horizon problem, complete markets, life and pension insurance, dynamic programming, Kuhn-Tucker, directional derivatives, time consistency, aggregation

Suggested Citation

Aase, Knut K., The Investment Horizon Problem: A Resolution (September 15, 2009). NHH Dept. of Finance & Management Science Discussion Paper No. 2009/7. Available at SSRN: https://ssrn.com/abstract=1496846 or http://dx.doi.org/10.2139/ssrn.1496846

Knut K. Aase (Contact Author)

Norwegian School of Economics (NHH) - Department of Business and Management Science ( email )

Helleveien 30
Bergen, NO-5045
Norway

Register to save articles to
your library

Register

Paper statistics

Downloads
92
Abstract Views
575
rank
286,539
PlumX Metrics