IDEAS home Printed from https://ideas.repec.org/a/bla/mathfi/v10y2000i2p197-213.html
   My bibliography  Save this article

Risk‐Sensitive Control and an Optimal Investment Model

Author

Listed:
  • W. H. Fleming
  • S. J. Sheu

Abstract

We consider an optimal investment model in which the goal is to maximize the long‐term growth rate of expected utility of wealth. In the model, the mean returns of the securities are explicitly affected by the underlying economic factors. The utility function is HARA. The problem is reformulated as an infinite time horizon risk‐sensitive control problem. We study the dynamic programming equation associated with this control problem and derive some consequences of the investment problem.

Suggested Citation

  • W. H. Fleming & S. J. Sheu, 2000. "Risk‐Sensitive Control and an Optimal Investment Model," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 197-213, April.
    • Handle: RePEc:bla:mathfi:v:10:y:2000:i:2:p:197-213
    DOI: 10.1111/1467-9965.00089
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/1467-9965.00089
    Download Restriction: no
    File URL: https://libkey.io/10.1111/1467-9965.00089?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
    ---><---

    References listed on IDEAS

    as
    1. Eckhard Platen & Rolando Rebolledo, 1996. "Principles for modelling financial markets," Published Paper Series 1996-3, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    Full references (including those not matched with items on IDEAS)

    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. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
    2. Huyên Pham, 2003. "A large deviations approach to optimal long term investment," Finance and Stochastics, Springer, vol. 7(2), pages 169-195.
    3. Jerome L. Stein, 2010. "A Critique of the Literature on the US Financial Debt Crisis," CESifo Working Paper Series 2924, CESifo.
    4. repec:ebl:ecbull:v:4:y:2003:i:11:p:1-12 is not listed on IDEAS
    5. Chiarella, Carl & Gao, Shenhuai, 2004. "The value of the S&P 500--A macro view of the stock market adjustment process," Global Finance Journal, Elsevier, vol. 15(2), pages 171-196, August.
    6. Eckhard Platen & Martin Schweizer, 1998. "On Feedback Effects from Hedging Derivatives," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 67-84, January.
    7. Marco Scarsini & Yossi Feinberg, 2003. "Rate of Arbitrage and Reconciled Beliefs," Economics Bulletin, AccessEcon, vol. 4(11), pages 1-12.
    8. Joao Amaro de Matos & Joao Sobral do Rosario, 2000. "The equilibrium dynamics for an endogeneous bid-ask spread in a monopolistic financial market," Nova SBE Working Paper Series wp389, Universidade Nova de Lisboa, Nova School of Business and Economics.
    9. Stein Jerome L., 2011. "US Financial Debt Crisis: A Stochastic Optimal Control Approach," Review of Economics, De Gruyter, vol. 62(3), pages 197-217, December.
    10. Marco Avellaneda, 1998. "Minimum-Relative-Entropy Calibration of Asset-Pricing Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 1(04), pages 447-472.
    11. Eckhard Platen, 1999. "Axiomatic principles for a market model," Published Paper Series 1999-3, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    12. Wolfgang Hardle & Torsten Kleinow & Alexander Korostelev & Camille Logeay & Eckhard Platen, 2008. "Semiparametric diffusion estimation and application to a stock market index," Quantitative Finance, Taylor & Francis Journals, vol. 8(1), pages 81-92.
    13. Chen, Bin & Hong, Yongmiao, 2012. "Testing For The Markov Property In Time Series," Econometric Theory, Cambridge University Press, vol. 28(1), pages 130-178, February.
    14. Stein, Jerome L., 2010. "Alan Greenspan, the quants and stochastic optimal control," Economics Discussion Papers 2010-17, Kiel Institute for the World Economy (IfW Kiel).
    15. Jerome L. Stein, 2009. "Application of Stochastic Optimal Control to Financial Market Debt Crises," CESifo Working Paper Series 2539, CESifo.
    16. Schweizer, Martin, 1999. "A minimality property of the minimal martingale measure," Statistics & Probability Letters, Elsevier, vol. 42(1), pages 27-31, March.
    17. Augusto Felício, J. & Rodrigues, Ricardo, 2015. "Organizational factors and customers' motivation effect on insurance companies' performance," Journal of Business Research, Elsevier, vol. 68(7), pages 1622-1629.
    18. João Amaro De Matos & João Sobral Do Rosário, 2002. "Market Power And Feedback Effects From Hedging Derivatives," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(08), pages 845-875.

    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:bla:mathfi:v:10:y:2000:i:2:p:197-213. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0960-1627 .

    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.