IDEAS home Printed from https://ideas.repec.org/p/fip/fedgif/541.html
   My bibliography  Save this paper

Using options prices to infer PDF'S for asset prices: an application to oil prices during the Gulf crisis

Author

Listed:
  • William R. Melick
  • Charles P. Thomas

Abstract

We develop a general method to infer martingale equivalent probability density functions (PDFs) for asset prices using American options prices. The early exercise feature of American options precludes expressing the option price in terms of the PDF of the price of the underlying asset. We derive tight bounds for the option price in terms of the PDF and demonstrate how these bounds, together with observed option prices, can be used to estimate the parameters of the PDF. We infer the distribution for the price of crude oil during the Persian Gulf crisis and find the distribution differs significantly from that recovered using standard techniques.

Suggested Citation

  • William R. Melick & Charles P. Thomas, 1996. "Using options prices to infer PDF'S for asset prices: an application to oil prices during the Gulf crisis," International Finance Discussion Papers 541, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgif:541
    as

    Download full text from publisher

    File URL: http://www.federalreserve.gov/pubs/ifdp/1996/541/default.htm
    Download Restriction: no

    File URL: http://www.federalreserve.gov/pubs/ifdp/1996/541/ifdp541.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Yacine Aït-Sahalia & Andrew W. Lo, 1998. "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," Journal of Finance, American Finance Association, vol. 53(2), pages 499-547, April.
    2. Ritchey, Robert J, 1990. "Call Option Valuation for Discrete Normal Mixtures," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 13(4), pages 285-296, Winter.
    3. Robert JARROW & Andrew RUDD, 2008. "Approximate Option Valuation For Arbitrary Stochastic Processes," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 1, pages 9-31 World Scientific Publishing Co. Pte. Ltd..
    4. MacKinnon, James G, 1992. "Model Specification Tests and Artificial Regressions," Journal of Economic Literature, American Economic Association, vol. 30(1), pages 102-146, March.
    5. Levy, Haim, 1985. " Upper and Lower Bounds of Put and Call Option Value: Stochastic Dominance Approach," Journal of Finance, American Finance Association, vol. 40(4), pages 1197-1217, September.
    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. Perrakis, Stylianos & Ryan, Peter J, 1984. " Option Pricing Bounds in Discrete Time," Journal of Finance, American Finance Association, vol. 39(2), pages 519-525, June.
    8. William R. Melick & Charles P. Thomas, 1992. "War and peace: recovering the market's probability distribution of crude oil futures prices during the Gulf crisis," International Finance Discussion Papers 437, Board of Governors of the Federal Reserve System (U.S.).
    9. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    10. James A. Overdahl & H. Lee Matthews, 1988. "The Use of NYMEX Options to Forecast Crude Oil Prices," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4).
    11. Lo, Andrew W., 1987. "Semi-parametric upper bounds for option prices and expected payoffs," Journal of Financial Economics, Elsevier, vol. 19(2), pages 373-387, 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. Campa, Jose Manuel & Chang, P. H. Kevin, 1998. "The forecasting ability of correlations implied in foreign exchange options," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 855-880, December.
    2. Bank for International Settlements, 2002. "Central bank intervention and market expectations," BIS Papers, Bank for International Settlements, number 10, November.
    3. Sheri Markose & Amadeo Alentorn, 2005. "Option Pricing and the Implied Tail Index with the Generalized Extreme Value (GEV) Distribution," Computing in Economics and Finance 2005 397, Society for Computational Economics.
    4. Bronka Rzepkowski, 2001. "Heterogeneous Expectations, Currency Options and the Euro / Dollar Exchange Rate," Working Papers 2001-03, CEPII research center.
    5. Michael P. Leahy & Charles P. Thomas, 1996. "The sovereignty option: the Quebec referendum and market views on the Canadian dollar," International Finance Discussion Papers 555, Board of Governors of the Federal Reserve System (U.S.).
    6. Bronka Rzepkowski, 2000. "The Expectations of Hong Kong Dollar Devaluation and Their Determinants," Working Papers 2000-04, CEPII research center.

    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:541. 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.