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The Distribution of Futures Prices: A Test of the Stable Paretian and Mixture of Normals Hypotheses

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  • Hall, Joyce A.
  • Brorsen, B. Wade
  • Irwin, Scott H.

Abstract

Two alternate hypotheses, the stable Paretian and mixture of normals, have been proposed to explain the observed thick-tailed distributions of futures price movements. The two hypotheses are tested by applying the stability-under-addition test of stable distribution parameters to twenty lengthy time series of changes in daily closing futures prices. Tests are conducted on both the original data series and randomized data. The results offer support for the mixture of normals hypothesis.

Suggested Citation

  • Hall, Joyce A. & Brorsen, B. Wade & Irwin, Scott H., 1989. "The Distribution of Futures Prices: A Test of the Stable Paretian and Mixture of Normals Hypotheses," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(1), pages 105-116, March.
    • Handle: RePEc:cup:jfinqa:v:24:y:1989:i:01:p:105-116_01
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    References listed on IDEAS

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    1. Gordon, J. Douglas, 1985. "The Distribution of Daily Changes in Commodity Futures Prices," Technical Bulletins 156817, United States Department of Agriculture, Economic Research Service.
    2. Mann, Jitendar S. & Heifner, Richard G., 1976. "The Distribution of Shortrun Commodity Price Movements," Technical Bulletins 158107, United States Department of Agriculture, Economic Research Service.
    3. Tauchen, George E & Pitts, Mark, 1983. "The Price Variability-Volume Relationship on Speculative Markets," Econometrica, Econometric Society, vol. 51(2), pages 485-505, March.
    4. Epps, Thomas W & Epps, Mary Lee, 1976. "The Stochastic Dependence of Security Price Changes and Transaction Volumes: Implications for the Mixture-of-Distributions Hypothesis," Econometrica, Econometric Society, vol. 44(2), pages 305-321, March.
    5. Johnson, Herb & Shanno, David, 1987. "Option Pricing when the Variance Is Changing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(2), pages 143-151, June.
    6. Nikolaos T. Milonas, 1986. "Price variability and the maturity effect in futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 6(3), pages 443-460, September.
    7. Clark, Peter K, 1973. "A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices," Econometrica, Econometric Society, vol. 41(1), pages 135-155, January.
    8. Sarassoro, Gboroton F. & Hudson, Michael A. & Leuthold, Raymond M., 1986. "Commodity Futures Price Changes: Normality And Implications For Option Pricing," 1986 Annual Meeting, July 27-30, Reno, Nevada 278168, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
    10. Eugene F. Fama, 1963. "Mandelbrot and the Stable Paretian Hypothesis," The Journal of Business, University of Chicago Press, vol. 36, pages 420-420.
    11. Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
    12. Westerfield, Randolph, 1977. "The Distribution of Common Stock Price Changes: An Application of Transactions Time and Subordinated Stochastic Models," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(5), pages 743-765, December.
    13. Harris, Lawrence, 1987. "Transaction Data Tests of the Mixture of Distributions Hypothesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(2), pages 127-141, June.
    14. Perry, Philip R., 1983. "More Evidence on the Nature of the Distribution of Security Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(2), pages 211-221, June.
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