Optimal consumption and investment under time-varying relative risk aversion
AbstractWe consider the continuous time consumption-investment problem originally formalized and solved by Merton in case of constant relative risk aversion. We present a complete solution for the case where relative risk aversion with respect to consumption varies with time, having in mind an investor with age-dependent risk aversion. This provides a new motivation for life-cycle investment rules. We study the optimal consumption and investment rules, in particular in the case where the relative risk aversion with respect to consumption is increasing with age.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 35 (2011)
Issue (Month): 5 (May)
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Web page: http://www.elsevier.com/locate/jedc
Merton's problem Hamilton-Jacobi-Bellman equation Marginal indirect utility Life-cycle investment;
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