IDEAS home Printed from https://ideas.repec.org/p/fip/fedgif/510.html
   My bibliography  Save this paper

Options, sunspots, and the creation of uncertainty

Author

Listed:
  • David Bowman
  • Jon Faust

Abstract

We present a model in which the addition of an option market leads to sunspot equilibria in an economy which has no sunspot equilibrium before the market is introduced. This phenomenon occurs because the payoff of an option contract is contingent upon market prices, and while prices are taken as exogenous by individuals within the economy they are endogenous to the economy as a whole. Our results provide robust counterexamples to the two most prevalent views of options markets in finance. Following Ross [1976], it is often assumed that the addition of option contracts to an incomplete markets economy can help complete markets. We demonstrate that the addition of option markets can instead increase the number of events which agents need to insure against. Following Black-Scholes [1973], it is often assumed that the economy is such that options are redundant. We demonstrate equilibria in which an added option market is not redundant even when markets were complete before its introduction.

Suggested Citation

  • David Bowman & Jon Faust, 1995. "Options, sunspots, and the creation of uncertainty," International Finance Discussion Papers 510, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgif:510
    as

    Download full text from publisher

    File URL: http://www.federalreserve.gov/pubs/ifdp/1995/510/default.htm
    Download Restriction: no

    File URL: http://www.federalreserve.gov/pubs/ifdp/1995/510/ifdp510.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
    2. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
    3. Krasa, Stefan, 1989. "Existence of competitive equilibria for option markets," Journal of Economic Theory, Elsevier, vol. 47(2), pages 413-421, April.
    4. Polemarchakis, H. M. & Ku, Bon-Il, 1990. "Options and equilibrium," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 107-112.
    5. Cass, David, 1992. "Sunspots and Incomplete Financial Markets: The General Case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(3), pages 341-358, July.
    6. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    7. Friesen, Peter H, 1979. "The Arrow-Debreu Model Extended to Financial Markets," Econometrica, Econometric Society, vol. 47(3), pages 689-707, May.
    8. Brown, Donald J & Ross, Stephen A, 1991. "Spanning, Valuation and Options," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 3-12, January.
    9. Steinar Ekern & Robert Wilson, 1974. "On the Theory of the Firm in an Economy with Incomplete Markets," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 171-180, Spring.
    10. Balasko, Yves & Cass, David, 1989. "The Structure of Financial Equilibrium with Exogenous Yields: The Case of Incomplete Markets," Econometrica, Econometric Society, vol. 57(1), pages 135-162, January.
    11. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    12. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    13. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    14. Krasa, Stefan & Werner, Jan, 1991. "Equilibria with options: Existence and indeterminacy," Journal of Economic Theory, Elsevier, vol. 54(2), pages 305-320, August.
    15. Green, Richard C. & Jarrow, Robert A., 1987. "Spanning and completeness in markets with contingent claims," Journal of Economic Theory, Elsevier, vol. 41(1), pages 202-210, 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. Galvani, Valentina & Plourde, André, 2010. "Portfolio diversification in energy markets," Energy Economics, Elsevier, vol. 32(2), pages 257-268, March.
    2. J. Barkley Rosser, 2001. "Alternative Keynesian and Post Keynesian Perspective on Uncertainty and Expectations," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 23(4), pages 545-566, July.
    3. Oehmke, Martin & Zawadowski, Adam, 2015. "Synthetic or real? The equilibrium effects of credit default swaps on bond markets," LSE Research Online Documents on Economics 84511, London School of Economics and Political Science, LSE Library.
    4. 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.
    5. Galvani, Valentina, 2007. "A note on spanning with options," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 106-114, July.
    6. Gunther Capelle-Blancard, 2010. "Are derivatives dangerous?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00605908, HAL.

    More about this item

    Keywords

    Derivative securities ; Options (Finance);

    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:fip:fedgif:510. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Franz Osorio). General contact details of provider: http://edirc.repec.org/data/frbgvus.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.