IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1702.05649.html
   My bibliography  Save this paper

Temporal and Spatial Turnpike-Type Results Under Forward Time-Monotone Performance Criteria

Author

Listed:
  • Tianran Geng
  • Thaleia Zariphopoulou

Abstract

We present turnpike-type results for the risk tolerance function in an incomplete market setting under time-monotone forward performance criteria. We show that, contrary to the classical case, the temporal and spatial limits do not coincide. We also show that they depend directly on the left- and right-end of the support of an underlying measure, which is used to construct the forward performance criterion. We provide examples with discrete and continuous measures, and discuss the asymptotic behavior of the risk tolerance for each case.

Suggested Citation

  • Tianran Geng & Thaleia Zariphopoulou, 2017. "Temporal and Spatial Turnpike-Type Results Under Forward Time-Monotone Performance Criteria," Papers 1702.05649, arXiv.org.
    • Handle: RePEc:arx:papers:1702.05649
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1702.05649
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. M. Musiela & T. Zariphopoulou, 2009. "Portfolio choice under dynamic investment performance criteria," Quantitative Finance, Taylor & Francis Journals, vol. 9(2), pages 161-170.
    2. Cox, John C. & Huang, Chi-fu, 1992. "A continuous-time portfolio turnpike theorem," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 491-507.
    3. Jin, Xing, 1998. "Consumption and portfolio turnpike theorems in a continuous-time finance model1," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1001-1026, May.
    4. 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.
    5. Huberman, Gur & Ross, Stephen, 1983. "Portfolio Turnpike Theorems, Risk Aversion, and Regularly Varying Utility Functions," Econometrica, Econometric Society, vol. 51(5), pages 1345-1361, September.
    6. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Moris S. Strub & Xun Yu Zhou, 2021. "Evolution of the Arrow–Pratt measure of risk-tolerance for predictable forward utility processes," Finance and Stochastics, Springer, vol. 25(2), pages 331-358, April.
    2. Xue Dong He & Moris S. Strub & Thaleia Zariphopoulou, 2021. "Forward rank‐dependent performance criteria: Time‐consistent investment under probability distortion," Mathematical Finance, Wiley Blackwell, vol. 31(2), pages 683-721, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Baojun Bian & Harry Zheng, 2018. "Turnpike Property and Convergence Rate for an Investment and Consumption Model," Papers 1808.04265, arXiv.org.
    2. Scott Robertson & Hao Xing, 2014. "Long Term Optimal Investment in Matrix Valued Factor Models," Papers 1408.7010, arXiv.org.
    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. Paolo Guasoni & Scott Robertson, 2012. "Portfolios and risk premia for the long run," Papers 1203.1399, arXiv.org.
    5. 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.
    6. 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.
    7. Jin, Xing, 1998. "Consumption and portfolio turnpike theorems in a continuous-time finance model1," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1001-1026, May.
    8. Darong Dai, 2014. "The Long-Run Behavior of Consumption and Wealth Dynamics in Complete Financial Market with Heterogeneous Investors," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-16, July.
    9. Baojun Bian & Harry Zheng, 2014. "Turnpike Property and Convergence Rate for an Investment Model with General Utility Functions," Papers 1409.7802, arXiv.org.
    10. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    11. Sergey Nadtochiy & Michael Tehranchi, 2013. "Optimal investment for all time horizons and Martin boundary of space-time diffusions," Papers 1308.2254, arXiv.org, revised Jan 2014.
    12. Dong, Yinghui & Zheng, Harry, 2019. "Optimal investment of DC pension plan under short-selling constraints and portfolio insurance," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 47-59.
    13. Wenyuan Wang & Kaixin Yan & Xiang Yu, 2023. "Optimal Portfolio with Ratio Type Periodic Evaluation under Short-Selling Prohibition," Papers 2311.12517, arXiv.org, revised Dec 2023.
    14. Sigrid Kallblad & Thaleia Zariphopoulou, 2017. "On the Black's equation for the risk tolerance function," Papers 1705.07472, arXiv.org.
    15. Vladimir Cherny & Jan Obloj, 2013. "Optimal portfolios of a long-term investor with floor or drawdown constraints," Papers 1305.6831, arXiv.org.
    16. Vladimir Cherny & Jan Obłój, 2013. "Portfolio optimisation under non-linear drawdown constraints in a semimartingale financial model," Finance and Stochastics, Springer, vol. 17(4), pages 771-800, October.
    17. Ashley Davey & Michael Monoyios & Harry Zheng, 2020. "Duality for optimal consumption with randomly terminating income," Papers 2011.00732, arXiv.org, revised May 2021.
    18. Goncalo dos Reis & Vadim Platonov, 2020. "Forward utility and market adjustments in relative investment-consumption games of many players," Papers 2012.01235, arXiv.org, revised Mar 2022.
    19. Paolo Guasoni & Gu Wang, 2020. "Consumption in incomplete markets," Finance and Stochastics, Springer, vol. 24(2), pages 383-422, April.
    20. Wing Fung Chong & Ying Hu & Gechun Liang & Thaleia Zariphopoulou, 2019. "An ergodic BSDE approach to forward entropic risk measures: representation and large-maturity behavior," Finance and Stochastics, Springer, vol. 23(1), pages 239-273, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1702.05649. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.