Option Pricing and Distribution Characteristics
A number of flexible distributions (generalized beta of the second kind, inverse hyperbolic sine, g-and-h, Weibull, Burr-3, Burr-12, generalized gamma) are examined in the setting of option-pricing to explore potential improvements over the standard assumption of lognormal returns. Price formulas are presented specific to each assumed distributional form. The IHS option price formula has not previously been presented in the literature. An empirical application follows where implied risk-neutral density functions for each distribution are estimated from options on the S&P 500 Index. The distributions' performance relative to one another is then evaluated, with the GB2 appearing to be the most attractive choice.
|Date of creation:||Nov 2012|
|Publication status:||Forthcoming in Computational Economics|
|Contact details of provider:|| Postal: 130 Faculty Office Building, P.O. Box 22363, Brigham Young University, Provo, Utah 84602|
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Web page: https://economics.byu.edu/Pages/MacroLab/Home.aspx
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- Kabir K. Dutta & David F. Babbel, 2005.
"Extracting Probabilistic Information from the Prices of Interest Rate Options: Tests of Distributional Assumptions,"
The Journal of Business,
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- Frank Fabozzi & Radu Tunaru & George Albota, 2009. "Estimating risk-neutral density with parametric models in interest rate markets," Quantitative Finance, Taylor & Francis Journals, vol. 9(1), pages 55-70.
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- James B. Mcdonald & Jeff Sorensen & Patrick A. Turley, 2013. "Skewness And Kurtosis Properties Of Income Distribution Models," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 59(2), pages 360-374, 06.
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- Bates, David S., 2000. "Post-'87 crash fears in the S&P 500 futures option market," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 181-238. Full references (including those not matched with items on IDEAS)
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