[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v18y2016icp342-352.html
   My bibliography  Save this article

Robust consumption and portfolio rules with time-varying model confidence

Author

Listed:
  • Jang, Bong-Gyu
  • Lee, Seungkyu
  • Lim, Byung Hwa
Abstract
This paper investigates robust optimal consumption and portfolio rules for an Epstein-Zin type investor who is concerned about model misspecification. We propose a semi-explicit solution for the generalized problem of [Hansen, L., Sargent, T., 2001. Robust control and model uncertainty. The American Economic Review 91 (2), 60–66.]. Numerical results show that the optimal behaviors change dramatically according to the investor’s confidence level on the estimated model and that the elasticity of intertemporal substitution in consumption can affect investment ratio. In addition, we show how the investor decides her optimal behaviors for the worst-case scenario.

Suggested Citation

  • Jang, Bong-Gyu & Lee, Seungkyu & Lim, Byung Hwa, 2016. "Robust consumption and portfolio rules with time-varying model confidence," Finance Research Letters, Elsevier, vol. 18(C), pages 342-352.
  • Handle: RePEc:eee:finlet:v:18:y:2016:i:c:p:342-352
    DOI: 10.1016/j.frl.2016.05.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612316300976
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.frl.2016.05.012?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    2. ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(4), pages 691-705, August.
    3. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Misspecification," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 6, pages 155-216, World Scientific Publishing Co. Pte. Ltd..
    4. Lars Peter Hansen & Thomas J Sargent, 2014. "Doubts or Variability?," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 7, pages 217-256, World Scientific Publishing Co. Pte. Ltd..
    5. ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(1), pages 225-228, February.
    6. Larry G. Epstein & Martin Schneider, 2008. "Ambiguity, Information Quality, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 197-228, February.
    7. Hui Chen & Scott Joslin & Ngoc-Khanh Tran, 2012. "Rare Disasters and Risk Sharing with Heterogeneous Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 25(7), pages 2189-2224.
    8. Hansen, Lars Peter & Sargent, Thomas J., 2011. "Robustness and ambiguity in continuous time," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1195-1223, May.
    9. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    10. Raman Uppal & Tan Wang, 2003. "Model Misspecification and Underdiversification," Journal of Finance, American Finance Association, vol. 58(6), pages 2465-2486, December.
    11. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    12. Svensson, Lars E. O., 1989. "Portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 30(4), pages 313-317, October.
    13. 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.
    14. ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(5), pages 879-883, October.
    15. Croce, Mariano M. & Nguyen, Thien T. & Schmid, Lukas, 2012. "The market price of fiscal uncertainty," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 401-416.
    16. David Easley & Maureen O'Hara, 2010. "Microstructure and Ambiguity," Journal of Finance, American Finance Association, vol. 65(5), pages 1817-1846, October.
    17. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
    18. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    19. Lorenzo Garlappi & Raman Uppal & Tan Wang, 2007. "Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach," The Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 41-81, January.
    20. ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(2), pages 411-413, April.
    21. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    22. Bhamra, Harjoat S. & Uppal, Raman, 2006. "The role of risk aversion and intertemporal substitution in dynamic consumption-portfolio choice with recursive utility," Journal of Economic Dynamics and Control, Elsevier, vol. 30(6), pages 967-991, June.
    23. Anderson, Evan W. & Ghysels, Eric & Juergens, Jennifer L., 2009. "The impact of risk and uncertainty on expected returns," Journal of Financial Economics, Elsevier, vol. 94(2), pages 233-263, November.
    24. Jun Liu, 2005. "An Equilibrium Model of Rare-Event Premia and Its Implication for Option Smirks," The Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 131-164.
    25. Liu, Hening & Miao, Jianjun, 2015. "Growth uncertainty, generalized disappointment aversion and production-based asset pricing," Journal of Monetary Economics, Elsevier, vol. 69(C), pages 70-89.
    26. Paul Glasserman & Xingbo Xu, 2013. "Robust Portfolio Control with Stochastic Factor Dynamics," Operations Research, INFORMS, vol. 61(4), pages 874-893, August.
    27. Howard Kung & Lukas Schmid, 2015. "Innovation, Growth, and Asset Prices," Journal of Finance, American Finance Association, vol. 70(3), pages 1001-1037, June.
    28. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
    29. David Easley & Maureen O'Hara & Liyan Yang, 2014. "Opaque Trading, Disclosure, and Asset Prices: Implications for Hedge Fund Regulation," The Review of Financial Studies, Society for Financial Studies, vol. 27(4), pages 1190-1237.
    30. Lars Peter Hansen & Thomas J Sargent, 2014. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 4, pages 83-143, World Scientific Publishing Co. Pte. Ltd..
    31. ,, 2003. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 19(6), pages 1195-1198, December.
    32. Philipp Karl Illeditsch, 2011. "Ambiguous Information, Portfolio Inertia, and Excess Volatility," Journal of Finance, American Finance Association, vol. 66(6), pages 2213-2247, December.
    33. A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
    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. Wang, Haijun, 2017. "Robust asset pricing with stochastic hyperbolic discounting," Finance Research Letters, Elsevier, vol. 21(C), pages 178-185.
    2. Castañeda, Pablo & Reus, Lorenzo, 2019. "Suboptimal investment behavior and welfare costs: A simulation based approach," Finance Research Letters, Elsevier, vol. 30(C), pages 170-180.

    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. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
    2. Agarwal, Vikas & Arisoy, Y. Eser & Naik, Narayan Y., 2017. "Volatility of aggregate volatility and hedge fund returns," Journal of Financial Economics, Elsevier, vol. 125(3), pages 491-510.
    3. Nengjiu Ju & Jianjun Miao, 2012. "Ambiguity, Learning, and Asset Returns," Econometrica, Econometric Society, vol. 80(2), pages 559-591, March.
    4. Jang, Bong-Gyu & Park, Seyoung, 2016. "Ambiguity and optimal portfolio choice with Value-at-Risk constraint," Finance Research Letters, Elsevier, vol. 18(C), pages 158-176.
    5. Hui Chen & Nengjiu Ju & Jianjun Miao, 2014. "Dynamic Asset Allocation with Ambiguous Return Predictability," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 799-823, October.
    6. Shi, Zhan, 2019. "Time-varying ambiguity, credit spreads, and the levered equity premium," Journal of Financial Economics, Elsevier, vol. 134(3), pages 617-646.
    7. Isaac Kleshchelski & Nicolas Vincent, 2007. "Robust Equilibrium Yield Curves," Cahiers de recherche 08-02, HEC Montréal, Institut d'économie appliquée.
    8. Nina Boyarchenko & Mario Cerrato & John Crosby & Stewart Hodges, 2012. "No good deals—no bad models," Staff Reports 589, Federal Reserve Bank of New York.
    9. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    10. Aït-Sahalia, Yacine & Matthys, Felix, 2019. "Robust consumption and portfolio policies when asset prices can jump," Journal of Economic Theory, Elsevier, vol. 179(C), pages 1-56.
    11. Zhang, Jinqing & Jin, Zeyu & An, Yunbi, 2017. "Dynamic portfolio optimization with ambiguity aversion," Journal of Banking & Finance, Elsevier, vol. 79(C), pages 95-109.
    12. Yacine Aït-Sahalia & Felix Matthys & Emilio Osambela & Ronnie Sircar, 2021. "When Uncertainty and Volatility Are Disconnected: Implications for Asset Pricing and Portfolio Performance," NBER Working Papers 29195, National Bureau of Economic Research, Inc.
    13. Meyer, Steffen & Uhr, Charline, 2024. "Ambiguity and private investors’ behavior after forced fund liquidations," Journal of Financial Economics, Elsevier, vol. 156(C).
    14. Jun-Ya Gotoh & Michael Jong Kim & Andrew E. B. Lim, 2017. "Calibration of Distributionally Robust Empirical Optimization Models," Papers 1711.06565, arXiv.org, revised May 2020.
    15. Martin Schneider, 2010. "The Research Agenda: Martin Schneider on Multiple Priors Preferences and Financial Markets," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 11(2), April.
    16. Flor, Christian Riis & Hesel, Søren, 2015. "Uncertain dynamics, correlation effects, and robust investment decisions," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 278-298.
    17. Ulrich, Maxim, 2013. "Inflation ambiguity and the term structure of U.S. Government bonds," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 295-309.
    18. Christian Flor & Linda Larsen, 2014. "Robust portfolio choice with stochastic interest rates," Annals of Finance, Springer, vol. 10(2), pages 243-265, May.
    19. Wei, Pengyu & Yang, Charles & Zhuang, Yi, 2023. "Robust consumption and portfolio choice with derivatives trading," European Journal of Operational Research, Elsevier, vol. 304(2), pages 832-850.
    20. Sujoy Mukerji & Han N. Ozsoylev & Jean‐Marc Tallon, 2023. "Trading Ambiguity: A Tale Of Two Heterogeneities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(3), pages 1127-1164, August.

    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:eee:finlet:v:18:y:2016:i:c:p:342-352. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/frl .

    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.