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Optimal Portfolio Selection with Transaction Costs and Finite Horizons


  • Hong Liu
  • Mark Loewenstein


We examine the optimal trading strategy for a CRRA investor who maximizes the expected utility of wealth on a finite date and faces transaction costs. Closed-form solutions are obtained when this date is uncertain. We then show a sequence of analytical solutions converge to the solution to the problem with a deterministic finite horizon. Consistent with the common life-cycle investment advice, the optimal trading strategy is found to be horizon dependent and largely buy and hold. Moreover, it might be optimal for the investor in our model not to buy any stock, even when the risk premium is positive. Further analysis of the optimal policy is also provided. Copyright 2002, Oxford University Press.

Suggested Citation

  • Hong Liu & Mark Loewenstein, 2002. "Optimal Portfolio Selection with Transaction Costs and Finite Horizons," Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 805-835.
  • Handle: RePEc:oup:rfinst:v:15:y:2002:i:3:p:805-835

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    References listed on IDEAS

    1. Chan, Louis K C & Hamao, Yasushi & Lakonishok, Josef, 1991. " Fundamentals and Stock Returns in Japan," Journal of Finance, American Finance Association, vol. 46(5), pages 1739-1764, December.
    2. Ikenberry, David & Lakonishok, Josef & Vermaelen, Theo, 1995. "Market underreaction to open market share repurchases," Journal of Financial Economics, Elsevier, vol. 39(2-3), pages 181-208.
    3. Kang, Jun-Koo & Kim, Yong-Cheol & Park, Kyung-Joo & Stulz, René M., 1995. "An Analysis of the Wealth Effects of Japanese Offshore Dollar-Denominated Convertible and Warrant Bond Issues," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(02), pages 257-270, June.
    4. Loughran, Tim & Ritter, Jay R, 1995. " The New Issues Puzzle," Journal of Finance, American Finance Association, vol. 50(1), pages 23-51, March.
    5. De Bondt, Werner F M & Thaler, Richard, 1985. " Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
    6. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
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