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

  • Claus Munk

    (Odense University, Denmark)

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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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
Contact details of provider: Web page: http://128.118.178.162

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  1. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Darrell Duffie & Thaleia Zariphopoulou, 1993. "Optimal Investment With Undiversifiable Income Risk," Mathematical Finance, Wiley Blackwell, vol. 3(2), pages 135-148.
  3. 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.
  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. 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.
  6. Svensson, L.E. & Werner, I., 1990. "Nontraded Assets in Incomplete Markets: Pricing and Portfolio Choices," Papers 477, Stockholm - International Economic Studies.
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