IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v12y2015icp58-66.html
   My bibliography  Save this article

Weakening the Gain–Loss-Ratio measure to make it stronger

Author

Listed:
  • Voelzke, Jan

Abstract

The Gain–Loss-Ratio, proposed by Bernardo and Ledoit (2000), can either be used as a performance measure on a market with known prices or to derive price intervals in incomplete markets. For both applications, there is a considerable theoretical drawback: it reaches infinity for nontrivial cases in many standard models with continuous probability space. In this paper, a more general ratio is proposed, which includes the original Gain–Loss-Ratio as a limit case. This “Substantial Gain–Loss-Ratio” is applicable in case of continuous probabilities. Additionally, in its function as a performance measure it helps illuminate the source of out-performance that a portfolio reveals.

Suggested Citation

  • Voelzke, Jan, 2015. "Weakening the Gain–Loss-Ratio measure to make it stronger," Finance Research Letters, Elsevier, vol. 12(C), pages 58-66.
    • Handle: RePEc:eee:finlet:v:12:y:2015:i:c:p:58-66
    DOI: 10.1016/j.frl.2014.11.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612314000816
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.frl.2014.11.007?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. John H. Cochrane & Jesus Saa-Requejo, 2000. "Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 79-119, February.
    2. Massimiliano Caporin & Grégory M. Jannin & Francesco Lisi & Bertrand B. Maillet, 2014. "A Survey On The Four Families Of Performance Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 28(5), pages 917-942, December.
    3. Antonio E. Bernardo & Olivier Ledoit, 2000. "Gain, Loss, and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 144-172, February.
    4. Rodríguez Longarela Iñaki, 2003. "A Simple Linear Programming Approach to Gain, Loss and Asset Pricing," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-10, January.
    5. Alexander Cherny & Dilip Madan, 2009. "New Measures for Performance Evaluation," The Review of Financial Studies, Society for Financial Studies, vol. 22(7), pages 2371-2406, July.
    6. Dybvig, Philip H & Ingersoll, Jonathan E, Jr, 1982. "Mean-Variance Theory in Complete Markets," The Journal of Business, University of Chicago Press, vol. 55(2), pages 233-251, April.
    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. Caporin, Massimiliano & Costola, Michele & Jannin, Gregory & Maillet, Bertrand, 2018. "“On the (Ab)use of Omega?”," Journal of Empirical Finance, Elsevier, vol. 46(C), pages 11-33.
    2. Jan Voelzke & Jeanne Diesteldorf & Fabian Goessling & Till Weigt, 2017. "Investors' favourite - A different look at valuing individual labour income," CQE Working Papers 6017, Center for Quantitative Economics (CQE), University of Muenster.
    3. Jan Voelzke & Fabian Goessling, 2016. "Should We Like it? - A Social Welfare Based Quantification of Policy Attractiveness," CQE Working Papers 5716, Center for Quantitative Economics (CQE), University of Muenster.
    4. Jan Voelzke & Sebastian Mentemeier, 2017. "Computing the Substantial-Gain-Loss-Ratio," CQE Working Papers 5917, Center for Quantitative Economics (CQE), University of Muenster.
    5. Voelzke, Jan & Gößling, Fabian & Diesteldorf, Jeanne & Weigt, Till, 2017. "Investors' favourite - A different look at valuing individual labour income," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168065, Verein für Socialpolitik / German Economic Association.
    6. J. Voelzke, 2016. "Individual labour income, stock prices and whom it may concern," Applied Economics Letters, Taylor & Francis Journals, vol. 23(13), pages 965-968, September.
    7. Righi, Marcelo Brutti, 2024. "Star-shaped acceptability indexes," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 170-181.
    8. Jan Voelzke & Sebastian Mentemeier, 2019. "Computing the Substantial-Gain–Loss-Ratio," Computational Economics, Springer;Society for Computational Economics, vol. 54(2), pages 613-624, August.

    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. Jan Voelzke, 2014. "Weakening the Gain-Loss-Ratio measure to make it stronger," CQE Working Papers 3114, Center for Quantitative Economics (CQE), University of Muenster.
    2. Wayne King Ming Chan, 2015. "RAROC-Based Contingent Claim Valuation," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2015, January-A.
    3. Caporin, Massimiliano & Costola, Michele & Jannin, Gregory & Maillet, Bertrand, 2018. "“On the (Ab)use of Omega?”," Journal of Empirical Finance, Elsevier, vol. 46(C), pages 11-33.
    4. Wayne King Ming Chan, 2015. "RAROC-Based Contingent Claim Valuation," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 21, July-Dece.
    5. Carole Bernard & Massimiliano Caporin & Bertrand Maillet & Xiang Zhang, 2023. "Omega Compatibility: A Meta-analysis," Computational Economics, Springer;Society for Computational Economics, vol. 62(2), pages 493-526, August.
    6. Liang Zou, 2005. "Dichotomous Asset Pricing Model," Annals of Economics and Finance, Society for AEF, vol. 6(1), pages 185-207, May.
    7. Akuzawa, Toshinao & Nishiyama, Yoshihiko, 2013. "Implied Sharpe ratios of portfolios with options: Application to Nikkei futures and listed options," The North American Journal of Economics and Finance, Elsevier, vol. 25(C), pages 335-357.
    8. Ibáñez, Alfredo, 2008. "Factorization of European and American option prices under complete and incomplete markets," Journal of Banking & Finance, Elsevier, vol. 32(2), pages 311-325, February.
    9. Fong, Wai Mun, 2010. "A stochastic dominance analysis of yen carry trades," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1237-1246, June.
    10. Hanno Lustig & Stijn Van Nieuwerburgh & Adrien Verdelhan, 2013. "The Wealth-Consumption Ratio," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 3(1), pages 38-94.
    11. Dong‐Hyun Ahn & H. Henry Cao & Stéphane Chrétien, 2009. "Portfolio Performance Measurement: a No Arbitrage Bounds Approach," European Financial Management, European Financial Management Association, vol. 15(2), pages 298-339, March.
    12. Bakshi, Gurdip & Chabi-Yo, Fousseni, 2011. "Variance Bounds on the Permanent and Transitory Components of Stochastic Discount Factors," Working Paper Series 2011-11, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    13. Takuji Arai, 2016. "Good deal bounds with convex constraints: --- examples and proofs ---," Keio-IES Discussion Paper Series 2016-017, Institute for Economics Studies, Keio University.
    14. Jocelyne Bion-Nadal, 2007. "Bid-Ask Dynamic Pricing in Financial Markets with Transaction Costs and Liquidity Risk," Papers math/0703074, arXiv.org.
    15. Valeri Zakamouline, 2014. "Portfolio performance evaluation with loss aversion," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 699-710, April.
    16. Takuji Arai & Masaaki Fukasawa, 2011. "Convex risk measures for good deal bounds," Papers 1108.1273, arXiv.org.
    17. Ortas, Eduardo & Moneva, José M. & Salvador, Manuel, 2012. "Does socially responsible investment equity indexes in emerging markets pay off? Evidence from Brazil," Emerging Markets Review, Elsevier, vol. 13(4), pages 581-597.
    18. Maria Arduca & Cosimo Munari, 2021. "Risk measures beyond frictionless markets," Papers 2111.08294, arXiv.org.
    19. Joao Amaro de Matos & Ana Lacerda, 2004. "Dry markets and superreplication bounds of American derivatives," Nova SBE Working Paper Series wp461, Universidade Nova de Lisboa, Nova School of Business and Economics.
    20. León, Angel & Navarro, Lluís & Nieto, Belén, 2019. "Screening rules and portfolio performance," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 642-662.

    More about this item

    Keywords

    Gain–Loss-Ratio; Acceptability index; Incomplete markets; Good-Deal bounds;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G19 - Financial Economics - - General Financial Markets - - - Other

    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:finlet:v:12:y:2015:i:c:p:58-66. 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.