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

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. Krasa, Stefan, 1989. "Existence of competitive equilibria for option markets," Journal of Economic Theory, Elsevier, vol. 47(2), pages 413-421, April.
    2. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
    3. Friesen, Peter H, 1979. "The Arrow-Debreu Model Extended to Financial Markets," Econometrica, Econometric Society, vol. 47(3), pages 689-707, May.
    4. 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.
    5. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    6. Polemarchakis, H. M. & Ku, Bon-Il, 1990. "Options and equilibrium," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 107-112.
    7. 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.
    8. 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.
    9. Krasa, Stefan & Werner, Jan, 1991. "Equilibria with options: Existence and indeterminacy," Journal of Economic Theory, Elsevier, vol. 54(2), pages 305-320, August.
    10. 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.
    11. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
    12. 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.
    13. 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.
    14. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    15. 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.
    16. David Cass, 1989. "Sunspots and Incomplete Financial Markets: The Leading Example," Palgrave Macmillan Books, in: George R. Feiwel (ed.), The Economics of Imperfect Competition and Employment, chapter 25, pages 677-693, Palgrave Macmillan.
    17. 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.
    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. 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.
    2. Galvani, Valentina & Plourde, André, 2010. "Portfolio diversification in energy markets," Energy Economics, Elsevier, vol. 32(2), pages 257-268, March.
    3. Gunther Capelle-Blancard, 2010. "Are derivatives dangerous?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00605908, HAL.
    4. 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.
    5. 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.
    6. Sushant Acharya & Keshav Dogra & Sanjay R. Singh, 2021. "The financial origins of non-fundamental risk," Working Papers 345, University of California, Davis, Department of Economics.
    7. Xavier Ragot & Francois Le Grand, 2010. "Prices and volumes of options: A simple theory of risk sharing when markets are incomplete," 2010 Meeting Papers 300, Society for Economic Dynamics.
    8. repec:hal:spmain:info:hdl:2441/1p7ctioc2n80gp0icks5dssdsa is not listed on IDEAS
    9. Galvani, Valentina, 2007. "A note on spanning with options," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 106-114, July.

    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. Alexandre Baptista, 2000. "Options and Efficiency in Multiperiod Security Markets," Econometric Society World Congress 2000 Contributed Papers 0299, Econometric Society.
    2. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    3. Jean-Marc Tallon, 1995. "Théorie de l'équilibre général avec marchés financiers incomplets," Revue Économique, Programme National Persée, vol. 46(5), pages 1207-1239.
    4. Balasko, Yves & Geanakoplos, John, 2012. "Introduction to general equilibrium," Journal of Economic Theory, Elsevier, vol. 147(2), pages 400-406.
    5. Bisin, Alberto, 1998. "General Equilibrium with Endogenously Incomplete Financial Markets," Journal of Economic Theory, Elsevier, vol. 82(1), pages 19-45, September.
    6. Cass, David & Pavlova, Anna, 2004. "On trees and logs," Journal of Economic Theory, Elsevier, vol. 116(1), pages 41-83, May.
    7. Kang, Minwook, 2015. "Price-level volatility and welfare in incomplete markets with sunspots," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 58-66.
    8. Yves Balasko & Enrique Kawamura, 2013. "Is risk good for saving? Message from the general equilibrium model," Textos para discussão 615, Department of Economics PUC-Rio (Brazil).
    9. Mas-Colell, Andreu & Zame, William R., 1996. "The existence of security market equilibrium with a non-atomic state space," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 63-84.
    10. M. Salto & T. Pietra, 2013. "Welfare and excess volatility of exchange rates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 501-529, March.
    11. Timothy Johnson, 2015. "Reciprocity as a Foundation of Financial Economics," Journal of Business Ethics, Springer, vol. 131(1), pages 43-67, September.
    12. Alexandre M. Baptista, 2005. "Options And Efficiency In Multidate Security Markets," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 569-587, October.
    13. Levine, David K., 1989. "Infinite horizon equilibrium with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 357-376, September.
    14. Baptista, Alexandre M., 2003. "Spanning with American options," Journal of Economic Theory, Elsevier, vol. 110(2), pages 264-289, June.
    15. David Bowman, 1995. "Constrained suboptimality in economies with limited communication," International Finance Discussion Papers 497, Board of Governors of the Federal Reserve System (U.S.).
    16. Rüdiger Frey & Alexander Stremme, 1997. "Market Volatility and Feedback Effects from Dynamic Hedging," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 351-374, October.
    17. Magill, Michael & Quinzii, Martine, 2014. "Anchoring expectations of inflation," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 86-105.
    18. Bottazzi, Jean-Marc & Luque, Jaime & Páscoa, Mário R., 2012. "Securities market theory: Possession, repo and rehypothecation," Journal of Economic Theory, Elsevier, vol. 147(2), pages 477-500.
    19. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    20. Drèze, Jacques H. & Herings, P. Jean-Jacques, 2008. "Sequentially complete markets remain incomplete," Economics Letters, Elsevier, vol. 100(3), pages 445-447, September.

    More about this item

    Keywords

    Derivative securities; options;

    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.

    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: Ryan Wolfslayer ; Keisha Fournillier (email available below). General contact details of provider: https://edirc.repec.org/data/frbgvus.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.