A generalization of Dybvig’s result on portfolio selection with intolerance for decline in consumption
AbstractIn this note we show the following result of Dybvig (1995) is valid for a general von Neumann–Morgenstern utility function: for an agent who does not tolerate a decline in consumption, the optimal investment out of discretionary wealth (in excess of the perpetuity value of current consumption) in the risky asset does not depend on the risk aversion coefficient of her felicity function locally when she does not adjust her consumption. The homotheticity assumption is not required. An implication of our result is that if an economic agent exhibits non-time-separable preference due to intertemporal linkage of consumption, her risk-taking over a short time period can be independent of her felicity function.
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Bibliographic InfoArticle provided by Elsevier in its journal Economics Letters.
Volume (Year): 117 (2012)
Issue (Month): 3 ()
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Web page: http://www.elsevier.com/locate/ecolet
Portfolio selection; Intolerance for decline in consumption; Risk taking; Felicity function;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D91 - Microeconomics - - Intertemporal Choice - - - Intertemporal Household Choice; Life Cycle Models and Saving
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Dybvig, Philip H, 1995. "Dusenberry's Ratcheting of Consumption: Optimal Dynamic Consumption and Investment Given Intolerance for Any Decline in Standard of Living," Review of Economic Studies, Wiley Blackwell, vol. 62(2), pages 287-313, April.
- Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
- Riedel, Frank, 2009.
"Optimal consumption choice with intolerance for declining standard of living,"
Journal of Mathematical Economics,
Elsevier, vol. 45(7-8), pages 449-464, July.
- Frank Riedel, 2007. "Optimal consumption choice with intolerance for declining standard of living," Working Papers 394, Bielefeld University, Center for Mathematical Economics.
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