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Pricing of S&P 100 Index Options Based On Garch Volatility Estimates

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  • Ayla Ogus

    ()
    (Department of Economics, Izmir University of Economics)

Abstract

This paper is a contribution to the vast literature on the inefficiency in the index options markets. Previous research has found that trading based on implied volatility forecasts do not generate positive profits for the S&P 500 index options but GARCH volatility forecasts do. Trading based on implied volatility forecasts for the S&P 100 index options also fail to generate profits in excess of transaction costs. This paper shows that trading based on GARCH volatility forecast generates profits in excess of transaction costs for the S&P 100 index options hence there is systematic mispricing in the S&P index options markets. GARCH models fair well due to their flexibility to incorporate asymmetric and nonlinear volatility effects. Improved pricing models should work as well or better.

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File URL: http://eco.ieu.edu.tr/wp-content/wp0201.pdf
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Bibliographic Info

Paper provided by Izmir University of Economics in its series Working Papers with number 0201.

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Length: 29 pages
Date of creation: Aug 2002
Date of revision:
Handle: RePEc:izm:wpaper:0201

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Web page: http://eco.ieu.edu.tr
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Keywords: GARCH; S&P100; index options;

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  1. Robert F. Engle & Alex Kane & Jaesun Noh, 1993. "Index-Option Pricing with Stochastic Volatility and the Value of Accurate Variance Forecasts," NBER Working Papers 4519, National Bureau of Economic Research, Inc.
  2. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
  3. Jorion, Philippe, 1995. " Predicting Volatility in the Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 50(2), pages 507-28, June.
  4. 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.
  5. Lucy F. Ackert & Yisong S. Tian, 1999. "Efficiency in index options markets and trading in stock baskets," Working Paper 99-5, Federal Reserve Bank of Atlanta.
  6. Evnine, Jeremy & Rudd, Andrew, 1985. " Index Options: The Early Evidence," Journal of Finance, American Finance Association, vol. 40(3), pages 743-56, July.
  7. Bent Jesper Christensen & Charlotte Strunk Hansen, 2002. "New evidence on the implied-realized volatility relation," The European Journal of Finance, Taylor & Francis Journals, vol. 8(2), pages 187-205.
  8. Galai, Dan, 1977. "Tests of Market Efficiency of the Chicago Board Options Exchange," The Journal of Business, University of Chicago Press, vol. 50(2), pages 167-97, April.
  9. Harvey, Campbell R & Whaley, Robert E, 1991. " S&P 100 Index Option Volatility," Journal of Finance, American Finance Association, vol. 46(4), pages 1251-61, September.
  10. Chou, Ray Yeutien, 1988. "Volatility Persistence and Stock Valuations: Some Empirical Evidence Using Garch," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(4), pages 279-94, October-D.
  11. Duan, Jin-Chuan & Zhang, Hua, 2001. "Pricing Hang Seng Index options around the Asian financial crisis - A GARCH approach," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 1989-2014, November.
  12. Kamara, Avraham & Miller, Thomas W., 1995. "Daily and Intradaily Tests of European Put-Call Parity," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(04), pages 519-539, December.
  13. Day, Theodore E. & Lewis, Craig M., 1988. "The behavior of the volatility implicit in the prices of stock index options," Journal of Financial Economics, Elsevier, vol. 22(1), pages 103-122, October.
  14. 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 637-54, May-June.
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