IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v114y2012i3p239-240.html
   My bibliography  Save this article

Optimal financial investments for non-concave utility functions

Author

Listed:
  • Rieger, Marc Oliver

Abstract

We prove a formula for the computation of optimal financial investments in an expected utility framework with arbitrary (not necessarily concave) utility functions. This extends classical results on optimal financial investments for strictly concave utility functions and is of importance particularly for applications of prospect theory where the utility function has a convex–concave shape.

Suggested Citation

  • Rieger, Marc Oliver, 2012. "Optimal financial investments for non-concave utility functions," Economics Letters, Elsevier, vol. 114(3), pages 239-240.
    • Handle: RePEc:eee:ecolet:v:114:y:2012:i:3:p:239-240
    DOI: 10.1016/j.econlet.2011.10.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176511004095
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2011.10.029?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. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    2. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    3. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    4. Stanley R. Pliska, 1984. "A Stochastic Calculus Model of Continuous Trading: Optimal Portfolios," Discussion Papers 608, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    6. Kenneth J. Arrow, 1974. "The Use of Unbounded Utility Functions in Expected-Utility Maximization: Response," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 88(1), pages 136-138.
    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. Armstrong, John & Brigo, Damiano, 2019. "Risk managing tail-risk seekers: VaR and expected shortfall vs S-shaped utility," Journal of Banking & Finance, Elsevier, vol. 101(C), pages 122-135.
    2. Alin OPREANA, 2014. "Investment Modelling at the Euro Area Level," Expert Journal of Finance, Sprint Investify, vol. 2(1), pages 26-30.
    3. Thorsten Hens & Marc Oliver Rieger, 2014. "Can utility optimization explain the demand for structured investment products?," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 673-681, April.
    4. Christian Dehm & Thai Nguyen & Mitja Stadje, 2020. "Non-concave expected utility optimization with uncertain time horizon," Papers 2005.13831, arXiv.org, revised Oct 2021.
    5. Zongxia Liang & Yang Liu & Litian Zhang, 2021. "A Framework of State-dependent Utility Optimization with General Benchmarks," Papers 2101.06675, arXiv.org, revised Dec 2023.
    6. Alain Bensoussan & Abel Cadenillas & Hyeng Keun Koo, 2015. "Entrepreneurial Decisions on Effort and Project with a Nonconcave Objective Function," Mathematics of Operations Research, INFORMS, vol. 40(4), pages 902-914, October.

    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. Thorsten Hens & Marc Oliver Rieger, 2014. "Can utility optimization explain the demand for structured investment products?," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 673-681, April.
    2. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2013. "Risk-averse and Risk-seeking Investor Preferences for Oil Spot and Futures," Documentos de Trabajo del ICAE 2013-31, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico, revised Aug 2013.
    3. Moshe Levy & Haim Levy, 2013. "Prospect Theory: Much Ado About Nothing?," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 7, pages 129-144, World Scientific Publishing Co. Pte. Ltd..
    4. Lean, Hooi Hooi & McAleer, Michael & Wong, Wing-Keung, 2015. "Preferences of risk-averse and risk-seeking investors for oil spot and futures before, during and after the Global Financial Crisis," International Review of Economics & Finance, Elsevier, vol. 40(C), pages 204-216.
    5. Rania HENTATI & Jean-Luc PRIGENT, 2010. "Structured Portfolio Analysis under SharpeOmega Ratio," EcoMod2010 259600073, EcoMod.
    6. Raquel M. Gaspar & Paulo M. Silva, 2023. "Investors’ perspective on portfolio insurance," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 22(1), pages 49-79, January.
    7. Bernard, Carole & Chen, Jit Seng & Vanduffel, Steven, 2015. "Rationalizing investors’ choices," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 10-23.
    8. Gurevich, Gregory & Kliger, Doron & Levy, Ori, 2009. "Decision-making under uncertainty - A field study of cumulative prospect theory," Journal of Banking & Finance, Elsevier, vol. 33(7), pages 1221-1229, July.
    9. Christian Seidl, 2013. "The St. Petersburg Paradox at 300," Journal of Risk and Uncertainty, Springer, vol. 46(3), pages 247-264, June.
    10. Chamorro, Jose M. & Perez de Villarreal, Jose M., 2000. "Mutual fund evaluation: a portfolio insurance approach: A heuristic application in Spain," Insurance: Mathematics and Economics, Elsevier, vol. 27(1), pages 83-104, August.
    11. Orrell, David & McSharry, Patrick, 2009. "System economics: Overcoming the pitfalls of forecasting models via a multidisciplinary approach," International Journal of Forecasting, Elsevier, vol. 25(4), pages 734-743, October.
    12. Mulligan, Karen & Baid, Drishti & Doctor, Jason N. & Phelps, Charles E. & Lakdawalla, Darius N., 2024. "Risk preferences over health: Empirical estimates and implications for medical decision-making," Journal of Health Economics, Elsevier, vol. 94(C).
    13. Ning Du & David V. Budescu, 2005. "The Effects of Imprecise Probabilities and Outcomes in Evaluating Investment Options," Management Science, INFORMS, vol. 51(12), pages 1791-1803, December.
    14. Fulga, Cristinca, 2016. "Portfolio optimization with disutility-based risk measure," European Journal of Operational Research, Elsevier, vol. 251(2), pages 541-553.
    15. Hübner, Georges & Lejeune, Thomas, 2021. "Mental accounts with horizon and asymmetry preferences," Economic Modelling, Elsevier, vol. 103(C).
    16. Dangl, Thomas & Randl, Otto & Zechner, Josef, 2016. "Risk control in asset management: Motives and concepts," CFS Working Paper Series 546, Center for Financial Studies (CFS).
    17. Willem H. Buiter, 2003. "James Tobin: An Appreciation of his Contribution to Economics," Economic Journal, Royal Economic Society, vol. 113(491), pages 585-631, November.
    18. Ko, Hyungjin & Son, Bumho & Lee, Jaewook, 2024. "Portfolio insurance strategy in the cryptocurrency market," Research in International Business and Finance, Elsevier, vol. 67(PA).
    19. Haim Levy & Enrico G. De Giorgi & Thorsten Hens, 2012. "Two Paradigms and Nobel Prizes in Economics: a Contradiction or Coexistence?," European Financial Management, European Financial Management Association, vol. 18(2), pages 163-182, March.
    20. Haim Levy, 2008. "First Degree Stochastic Dominance Violations: Decision Weights and Bounded Rationality," Economic Journal, Royal Economic Society, vol. 118(528), pages 759-774, April.

    More about this item

    Keywords

    Optimal investments; Non-concave utility function; Prospect theory;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

    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:eee:ecolet:v:114:y:2012:i:3:p:239-240. 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/ecolet .

    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.