IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1311.1715.html
   My bibliography  Save this paper

Portfolio Choice with Stochastic Investment Opportunities: a User's Guide

Author

Listed:
  • Ren Liu
  • Johannes Muhle-Karbe

Abstract

This survey reviews portfolio choice in settings where investment opportunities are stochastic due to, e.g., stochastic volatility or return predictability. It is explained how to heuristically compute candidate optimal portfolios using tools from stochastic control, and how to rigorously verify their optimality by means of convex duality. Special emphasis is placed on long-horizon asymptotics, that lead to particularly tractable results.

Suggested Citation

  • Ren Liu & Johannes Muhle-Karbe, 2013. "Portfolio Choice with Stochastic Investment Opportunities: a User's Guide," Papers 1311.1715, arXiv.org.
    • Handle: RePEc:arx:papers:1311.1715
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1311.1715
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Imen Ben Tahar & Nizar Touzi & Mete H. Soner, 2010. "Merton Problem with Taxes: Characterization, computation and Approximation," Post-Print hal-00703102, HAL.
    2. Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, February.
    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. René Carmona & Kevin Webster, 2019. "The self-financing equation in limit order book markets," Finance and Stochastics, Springer, vol. 23(3), pages 729-759, July.
    2. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2018. "Dynamic derivative strategies with stochastic interest rates and model uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 86(C), pages 49-71.
    3. Huyen Pham, 2014. "Long time asymptotics for optimal investment," Working Papers hal-01058657, HAL.

    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. Yaoting Lei & Ya Li & Jing Xu, 2020. "Two Birds, One Stone: Joint Timing of Returns and Capital Gains Taxes," Management Science, INFORMS, vol. 66(2), pages 823-843, February.
    2. Owadally, Iqbal & Jang, Chul & Clare, Andrew, 2021. "Optimal investment for a retirement plan with deferred annuities," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 51-62.
    3. Josh Lerner, 2002. "Where Does State Street Lead? A First Look at Finance Patents, 1971 to 2000," Journal of Finance, American Finance Association, vol. 57(2), pages 901-930, April.
    4. Davide Pettenuzzo & Francesco Ravazzolo, 2016. "Optimal Portfolio Choice Under Decision‐Based Model Combinations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(7), pages 1312-1332, November.
    5. Kárpáti, D.;, 2022. "Household Finance and Life-Cycle Economic Decisions under the Shadow of Cancer," Health, Econometrics and Data Group (HEDG) Working Papers 22/16, HEDG, c/o Department of Economics, University of York.
    6. Andrew F. Siegel & Artemiza Woodgate, 2007. "Performance of Portfolios Optimized with Estimation Error," Management Science, INFORMS, vol. 53(6), pages 1005-1015, June.
    7. Dirk Ulbricht, 2014. "John Doe's Old-Age Provision: Dollar Cost Averaging and Time Diversification," Discussion Papers of DIW Berlin 1376, DIW Berlin, German Institute for Economic Research.
    8. Christophe Boucher & Benjamin Hamidi & Patrick Kouontchou & Bertrand Maillet, 2012. "Une évaluation économique du risque de modèle pour les investisseurs de long terme," Revue économique, Presses de Sciences-Po, vol. 63(3), pages 591-600.
    9. John Y. Campbell & Luis M. Viceira & Joshua S. White, 2003. "Foreign Currency for Long-Term Investors," Economic Journal, Royal Economic Society, vol. 113(486), pages 1-25, March.
    10. Hong, Yanran & Cao, Shijiao & Xu, Pengfei & Pan, Zhigang, 2024. "Interpreting the effect of global economic risks on crude oil market: A supply-demand perspective," International Review of Financial Analysis, Elsevier, vol. 91(C).
    11. repec:esx:essedp:770 is not listed on IDEAS
    12. Philippe Bacchetta & Eric van Wincoop, 2010. "Infrequent Portfolio Decisions: A Solution to the Forward Discount Puzzle," American Economic Review, American Economic Association, vol. 100(3), pages 870-904, June.
    13. Berkelaar, Arjan & Kouwenberg, Roy, 2003. "Retirement saving with contribution payments and labor income as a benchmark for investments," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 1069-1097, April.
    14. Qian Lin & Frank Riedel, 2021. "Optimal consumption and portfolio choice with ambiguous interest rates and volatility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1189-1202, April.
    15. Pelizzon, Loriana & Weber, Guglielmo, 2009. "Efficient portfolios when housing needs change over the life cycle," Journal of Banking & Finance, Elsevier, vol. 33(11), pages 2110-2121, November.
    16. Monica Billio & Roberto Casarin & Francesco Ravazzolo & Herman K. van Dijk, 2010. "Combining predictive densities using Bayesian filtering with applications to US economics data," Working Paper 2010/29, Norges Bank.
    17. John Y. Campbell & Yeung Lewis Chanb & M. Viceira, 2013. "A multivariate model of strategic asset allocation," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part II, chapter 39, pages 809-848, World Scientific Publishing Co. Pte. Ltd..
    18. Gomes, Francisco J., 2007. "Exploiting short-run predictability," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1427-1440, May.
    19. Michis, Antonis A., 2014. "Investing in gold: Individual asset risk in the long run," Finance Research Letters, Elsevier, vol. 11(4), pages 369-374.
    20. Horneff, Wolfram J. & Maurer, Raimond H. & Stamos, Michael Z., 2008. "Life-cycle asset allocation with annuity markets," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3590-3612, November.
    21. Prat, Georges, 2013. "Equity risk premium and time horizon: What do the U.S. secular data say?," Economic Modelling, Elsevier, vol. 34(C), pages 76-88.

    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:1311.1715. 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.