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An intertemporal model of consumption and portfolio allocation

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  • Hans Andersson
  • Buddhavarapu Sailesh Ramamurtie
  • Bharat Ramaswami

Abstract

We develop an infinite time horizon, continuous time model of portfolio choice and consumption allocation for an investor seeking to maximize the expected utility of his life-time consumption. In this model, the investor is endowed with capital that can be invested in long-lived capital assets and has, in addition, a stochastic stream of cash flows that could be interpreted as either a wage income stream or a stochastic endowment flow. We obtain a complete and original solution to the consumption-portfolio choice problem for the negative exponential and quadratic utility functions and special case solutions for the general power and log utility functions. The results obtained in this paper have significant implications for the theory of asset prices, the theory of mutual funds, optimal portfolio strategies of investors, and so forth. The results of the model can also be easily extended to one with a finite time horizon.

Suggested Citation

  • Hans Andersson & Buddhavarapu Sailesh Ramamurtie & Bharat Ramaswami, 1995. "An intertemporal model of consumption and portfolio allocation," FRB Atlanta Working Paper 95-15, Federal Reserve Bank of Atlanta.
    • Handle: RePEc:fip:fedawp:95-15
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    References listed on IDEAS

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    1. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    2. Svensson, Lars E. O. & Werner, Ingrid M., 1993. "Nontraded assets in incomplete markets : Pricing and portfolio choice," European Economic Review, Elsevier, vol. 37(5), pages 1149-1168, June.
    3. Svensson, L.E.O., 1988. "Portfolio Choice And Asset Pricing With Nontraded Assets," Papers 417, Stockholm - International Economic Studies.
    4. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
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    Cited by:

    1. Munk, Claus, 2000. "Optimal consumption/investment policies with undiversifiable income risk and liquidity constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(9), pages 1315-1343, August.

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    Keywords

    Consumption (Economics);

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