A WEALTH-DEPENDENT INVESTMENT OPPORTUNITY SET: ITS EFFECT ON OPTIMAL CONSUMPTION AND PORTFOLIO DECISIONS

  • 발행 : 2003.05.23

초록

We consider a consumption and investment problem where an investor's investment opportunity gets enlarged when she becomes rich enough, i.e., when her wealth touches a critical level. We derive optimal consumption and investment rules assuming that the investor has a time-separable von Neumann-Morgenstern utility function. An interesting feature of optimal rules is that the investor consumes less and takes more risk in risky assets if the investor expects that she will have a better investment opportunity when her wealth reaches a critical level.

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