Extracting Probabilistic Information from the Prices of Interest Rate Options: Tests of Distributional Assumptions
Return distributions in general and interest rates in particular have been observed to exhibit skewness and kurtosis that cannot be explained by the (log)normal distribution. Using g-and-h distribution we derived a closed-form option pricing formula for pricing European options. We measured its performance using interest rate cap data and compared it with the option prices based on the lognormal, Burr-3, Weibull, and GB2 distributions. We observed that the g-and-h distribution exhibited a high degree of accuracy in pricing options, much better than those other distributions in extracting probabilistic information from the option market.
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- Kabir K. Dutta & David F. Babbel, 2002. "On Measuring Skewness and Kurtosis in Short Rate Distributions: The Case of the US Dollar London Inter Bank Offer Rates," Center for Financial Institutions Working Papers 02-25, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Jackwerth, Jens Carsten, 1999. "Option Implied Risk-Neutral Distributions and Implied Binomial Trees: A Literature Review," MPRA Paper 11634, University Library of Munich, Germany.
- Rubinstein, Mark, 1994. " Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
- McDonald, James B. & Xu, Yexiao J., 1995.
"A generalization of the beta distribution with applications,"
Journal of Econometrics,
Elsevier, vol. 69(2), pages 427-428, October.
- McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 133-152.
- Jondeau, Eric & Rockinger, Michael, 1998.
"Reading the Smile: The Message Conveyed by Methods which Infer Risk Neutral Densities,"
CEPR Discussion Papers
2009, C.E.P.R. Discussion Papers.
- Jondeau, Eric & Rockinger, Michael, 2000. "Reading the smile: the message conveyed by methods which infer risk neutral densities," Journal of International Money and Finance, Elsevier, vol. 19(6), pages 885-915, December.
- Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
- Bookstaber, Richard M & McDonald, James B, 1987. "A General Distribution for Describing Security Price Returns," The Journal of Business, University of Chicago Press, vol. 60(3), pages 401-24, July.
- Wolfgang Bühler & Marliese Uhrig-Homburg & Ulrich Walter & Thomas Weber, 1999. "An Empirical Comparison of Forward-Rate and Spot-Rate Models for Valuing Interest-Rate Options," Journal of Finance, American Finance Association, vol. 54(1), pages 269-305, 02.
- Driessen, Joost & Klaassen, Pieter & Melenberg, Bertrand, 2003.
"The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions,"
Journal of Financial and Quantitative Analysis,
Cambridge University Press, vol. 38(03), pages 635-672, September.
- Driessen, J.J.A.G. & Klaassen, P. & Melenberg, B., 2000. "The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions," Discussion Paper 2000-93, Tilburg University, Center for Economic Research.
- Badrinath, S G & Chatterjee, Sangit, 1991. "A Data-Analytic Look at Skewness and Elongation in Common-Stock-Return Distributions," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(2), pages 223-33, April.
- Badrinath, S G & Chatterjee, Sangit, 1988. "On Measuring Skewness and Elongation in Common Stock Return Distributions: The Case of the Market Index," The Journal of Business, University of Chicago Press, vol. 61(4), pages 451-72, October.
- Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
- Patrick Navatte & Christophe Villa, 2000. "The information content of implied volatility, skewness and kurtosis: empirical evidence from long-term CAC 40 options," European Financial Management, European Financial Management Association, vol. 6(1), pages 41-56.
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