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Portfolio Turnpikes

Author

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  • Dybvig, Philip H
  • Rogers, L C G
  • Back, Kerry

Abstract

Portfolio turnpike theorems show that if preferences at large wealth levels are similar to power utility, then the investment strategy converges to the power utility strategy as the horizon increases. We state and prove two simple and general portfolio turnpike theorems. Unlike existing literature, our main result does not assume independence of returns and depends only on discounting of future cash flows. We also provide a critique of portfolio turnpike results, based on the observations that (1) the time required for convergence is often too large to be relevant, and (2) there is no convergence for consumption withdrawal problems. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

Suggested Citation

  • Dybvig, Philip H & Rogers, L C G & Back, Kerry, 1999. "Portfolio Turnpikes," The Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 165-195.
    • Handle: RePEc:oup:rfinst:v:12:y:1999:i:1:p:165-95
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    Citations

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    Cited by:

    1. Bian, Baojun & Zheng, Harry, 2015. "Turnpike property and convergence rate for an investment model with general utility functions," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 28-49.
    2. Jessica A. Wachter, 2010. "Asset Allocation," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 175-206, December.
    3. Paolo Guasoni & Constantinos Kardaras & Scott Robertson & Hao Xing, 2014. "Abstract, classic, and explicit turnpikes," Finance and Stochastics, Springer, vol. 18(1), pages 75-114, January.
    4. Vladimir Cherny & Jan Obloj, 2013. "Optimal portfolios of a long-term investor with floor or drawdown constraints," Papers 1305.6831, arXiv.org.
    5. Stefan Gerhold & Paolo Guasoni & Johannes Muhle-Karbe & Walter Schachermayer, 2014. "Transaction costs, trading volume, and the liquidity premium," Finance and Stochastics, Springer, vol. 18(1), pages 1-37, January.
    6. Paolo Guasoni & Gu Wang, 2015. "Hedge and mutual funds’ fees and the separation of private investments," Finance and Stochastics, Springer, vol. 19(3), pages 473-507, July.
    7. Paolo Guasoni & Scott Robertson, 2012. "Portfolios and risk premia for the long run," Papers 1203.1399, arXiv.org.
    8. Kasper Larsen & Hang Yu, 2012. "Horizon dependence of utility optimizers in incomplete models," Finance and Stochastics, Springer, vol. 16(4), pages 779-801, October.
    9. Stefan Gerhold & Paolo Guasoni & Johannes Muhle-Karbe & Walter Schachermayer, 2011. "Transaction Costs, Trading Volume, and the Liquidity Premium," Papers 1108.1167, arXiv.org, revised Jan 2013.
    10. Hening Liu, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Post-Print hal-00781344, HAL.
    11. Bahman Angoshtari, 2016. "On the Market-Neutrality of Optimal Pairs-Trading Strategies," Papers 1608.08268, arXiv.org.
    12. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    13. Erik Aurell & Paolo Muratore-Ginanneschi, 2005. "Optimal hedging of Derivatives with transaction costs," Papers physics/0509150, arXiv.org, revised Dec 2005.
    14. Guasoni, Paolo & Muhle-Karbe, Johannes & Xing, Hao, 2017. "Robust portfolios and weak incentives in long-run investments," LSE Research Online Documents on Economics 60577, London School of Economics and Political Science, LSE Library.
    15. Hammarlid, Ola, 2005. "When to accept a sequence of gambles," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 974-982, December.
    16. Scott Robertson & Hao Xing, 2014. "Long Term Optimal Investment in Matrix Valued Factor Models," Papers 1408.7010, arXiv.org.
    17. Paolo Guasoni & Johannes Muhle-Karbe & Hao Xing, 2013. "Robust Portfolios and Weak Incentives in Long-Run Investments," Papers 1306.2751, arXiv.org, revised Aug 2014.
    18. Boyle, Phelim & Tian, Weidong, 2008. "The design of equity-indexed annuities," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 303-315, December.
    19. Baojun Bian & Harry Zheng, 2014. "Turnpike Property and Convergence Rate for an Investment Model with General Utility Functions," Papers 1409.7802, arXiv.org.
    20. Liu, Hening, 2011. "Dynamic portfolio choice under ambiguity and regime switching mean returns," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 623-640, April.
    21. Wachter, Jessica A., 2003. "Risk aversion and allocation to long-term bonds," Journal of Economic Theory, Elsevier, vol. 112(2), pages 325-333, October.

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