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Optimal Consumption/Investment Policies with Undiversifiable Income Risk and Borrowing Constraints

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Author Info

  • Claus Munk

    (Odense University, Denmark)

Abstract

We examine the optimal consumption and portfolio choice of an investor having an initial wealth endowment and an uncertain stream of income from non-traded assets. The income stream is not spanned by traded assets, and the investor is not allowed to borrow against future income, so the financial market is incomplete. We solve the corresponding stochastic control problem numerically with the Markov chain approximation method. In particular, we find that the implicit value, the agent attaches to an uncertain income stream, can be much smaller in this incomplete market than it is in the complete market.

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Bibliographic Info

Paper provided by EconWPA in its series Finance with number 9712003.

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Length: 24 pages
Date of creation: 15 Dec 1997
Date of revision:
Handle: RePEc:wpa:wuwpfi:9712003

Note: Type of Document - ; to print on PostScript; pages: 24 ; figures: included
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Web page: http://128.118.178.162

Related research

Keywords: optimal consumption and portfolio policies; undiversifiable income risk; borrowing constraints; wealth equivalent of income; Markov chain approximation;

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References

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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. Darrell Duffie & Thaleia Zariphopoulou, 1993. "Optimal Investment With Undiversifiable Income Risk," Mathematical Finance, Wiley Blackwell, vol. 3(2), pages 135-148.
  3. Hindy, Ayman & Huang, Chi-fu & Zhu, Steven H., 1997. "Numerical analysis of a free-boundary singular control problem in financial economics," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 297-327.
  4. Cuoco, Domenico, 1997. "Optimal Consumption and Equilibrium Prices with Portfolio Constraints and Stochastic Income," Journal of Economic Theory, Elsevier, vol. 72(1), pages 33-73, January.
  5. 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.
  6. Duffie, Darrell & Fleming, Wendell & Soner, H. Mete & Zariphopoulou, Thaleia, 1997. "Hedging in incomplete markets with HARA utility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 753-782, May.
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Cited by:
  1. Claus Munk, 1997. "No-Arbitrage Bounds on Contingent Claims Prices with Convex Constraints on the Dollar Investments of the Hedge Portfolio," Finance 9712006, EconWPA.

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