IDEAS home Printed from https://ideas.repec.org/p/zbw/cofedp/0508.html
   My bibliography  Save this paper

Incremental risk vulnerability

Author

Listed:
  • Franke, Günter
  • Stapleton, Richard C.
  • Subrahmanyam, Marti G.

Abstract

We present a necessary and sufficient condition on an agent's utility function for a simple mean preserving spread in an independent background risk to increase the agent's risk aversion (incremental risk vulnerability). Gollier and Pratt (1996) have shown that declining and convex risk aversion as well as standard risk aversion are sufficient for risk vulnerability. We show that these conditions are also sufficient for incremental risk vulnerability. In addition, we present sufficient conditions for a restricted set of stochastic increases in an independent background risk to increase risk aversion.

Suggested Citation

  • Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 2005. "Incremental risk vulnerability," CoFE Discussion Papers 05/08, University of Konstanz, Center of Finance and Econometrics (CoFE).
    • Handle: RePEc:zbw:cofedp:0508
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/32163/1/50446809X.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Donald J. Meyer & Jack Meyer, 1998. "Changes in Background Risk and the Demand for Insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 23(1), pages 29-40, June.
    2. Franke, Gunter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1998. "Who Buys and Who Sells Options: The Role of Options in an Economy with Background Risk," Journal of Economic Theory, Elsevier, vol. 82(1), pages 89-109, September.
    3. Donald C. Keenan & Arthur Snow, 2003. "Locally Greater Vulnerability to Background Risk," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 28(2), pages 161-172, December.
    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. Sookhtanlo, Mojtaba & Gholami, Hesamedin & Es’haghi, Seyyed Reza, 2013. "Drought Risk Vulnerability Parameters among Wheat Farmers in Mashhad County, Iran," International Journal of Agricultural Management and Development (IJAMAD), Iranian Association of Agricultural Economics, vol. 3(4), pages 1-10, December.
    2. Malevergne, Y. & Rey, B., 2009. "On cross-risk vulnerability," Insurance: Mathematics and Economics, Elsevier, vol. 45(2), pages 224-229, 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. Mickael Beaud & Marc Willinger, 2015. "Are People Risk Vulnerable?," Management Science, INFORMS, vol. 61(3), pages 624-636, March.
    2. Bertrand, Philippe & Prigent, Jean-luc, 2016. "Equilibrium of financial derivative markets under portfolio insurance constraints," Economic Modelling, Elsevier, vol. 52(PA), pages 278-291.
    3. François Grand & Xavier Ragot, 2016. "Incomplete markets and derivative assets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 517-545, August.
    4. Andrei Semenov, 2017. "Background risk in consumption and the equity risk premium," Review of Quantitative Finance and Accounting, Springer, vol. 48(2), pages 407-439, February.
    5. Donald C., Rudow, 2005. "Preferences and Increased Risk Aversion under a General Framework of Stochastic Dominance," MPRA Paper 41191, University Library of Munich, Germany, revised 07 Jun 2005.
    6. Lu, Zhiyi & Meng, Shengwang & Liu, Leping & Han, Ziqi, 2018. "Optimal insurance design under background risk with dependence," Insurance: Mathematics and Economics, Elsevier, vol. 80(C), pages 15-28.
    7. repec:dau:papers:123456789/698 is not listed on IDEAS
    8. Sonali Jain & Jayanth R. Varma & Sobhesh Kumar Agarwalla, 2019. "Indian equity options: Smile, risk premiums, and efficiency," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(2), pages 150-163, February.
    9. Bakshi, Gurdip & Madan, Dilip & Panayotov, George, 2010. "Returns of claims on the upside and the viability of U-shaped pricing kernels," Journal of Financial Economics, Elsevier, vol. 97(1), pages 130-154, July.
    10. Mnasri, Mohamed & Dionne, Georges & Gueyie, Jean-Pierre, 2017. "The use of nonlinear hedging strategies by US oil producers: Motivations and implications," Energy Economics, Elsevier, vol. 63(C), pages 348-364.
    11. Adam, Tim, 2009. "Capital expenditures, financial constraints, and the use of options," Journal of Financial Economics, Elsevier, vol. 92(2), pages 238-251, May.
    12. Adam-Muller, Axel F. A., 2000. "Hedging price risk when real wealth matters," Journal of International Money and Finance, Elsevier, vol. 19(4), pages 549-560, August.
    13. Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2011. "Effects of background risks on cautiousness with an application to a portfolio choice problem," Journal of Economic Theory, Elsevier, vol. 146(1), pages 346-358, January.
    14. Guenter Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterisations of the Pricing Kernel," Finance 9904004, University Library of Munich, Germany.
    15. Dana, Rose-Anne & Scarsini, Marco, 2007. "Optimal risk sharing with background risk," Journal of Economic Theory, Elsevier, vol. 133(1), pages 152-176, March.
    16. Das, Sanjiv R. & Statman, Meir, 2013. "Options and structured products in behavioral portfolios," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 137-153.
    17. Sohnke M. Bartram & Frank R. Fehle, 2003. "Competition among Alternative Option Market Structures: Evidence from Eurex vs. Euwax," Finance 0307005, University Library of Munich, Germany, revised 06 Nov 2003.
    18. Frank Niehaus, 2001. "The Influence of Heterogeneous Preferences on Asset Prices in an Incomplete Market Model," CeNDEF Workshop Papers, January 2001 2A.2, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    19. M M Segovia-Gonzalez & I Contreras & C Mar-Molinero, 2009. "A DEA analysis of risk, cost, and revenues in insurance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(11), pages 1483-1494, November.
    20. Reyno SEYMORE & Margaret MABUGU & Jan VAN HEERDEN, 2010. "Border Tax Adjustments to Negate the Economic Impact of an Electricity Generation Tax," EcoMod2010 259600155, EcoMod.
    21. Sudarshan Kumar & Sobhesh Kumar Agarwalla & Jayanth R. Varma & Vineet Virmani, 2023. "Harvesting the volatility smile in a large emerging market: A Dynamic Nelson–Siegel approach," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(11), pages 1615-1644, November.

    More about this item

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:zbw:cofedp:0508. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/zfkonde.html .

    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.