The investment horizon problem: A resolution
AbstractIn 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.
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Bibliographic InfoPaper provided by Department of Business and Management Science, Norwegian School of Economics in its series Discussion Papers with number 2009/7.
Length: 30 pages
Date of creation: 15 Sep 2009
Date of revision:
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Postal: NHH, Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway
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Fax: +47 55 95 96 50
Web page: http://www.nhh.no/en/research-faculty/department-of-business-and-management-science.aspx
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The investment horizon problem; complete markets; life and pension insurance; dynamic programming; Kuhn-Tucker; directional derivatives; time consistency; aggregation;
Find related papers by JEL classification:
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
- G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
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- Steffensen, Mogens, 2011. "Optimal consumption and investment under time-varying relative risk aversion," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 659-667, May.
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