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Transaction Data Tests of S&P 100 Call Option Pricing

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  • Sheikh, Aamir M.

Abstract

This paper examines the pricing of S&P 100 calls using 14 months of transactions data. We find that market prices of S&P 100 calls differ systematically from Black-Scholes values. The biases in Black-Scholes model prices are both statistically and economically significant and correspond to biases that arise if market prices incorporate a stochastically changing volatility of the index.

Suggested Citation

  • Sheikh, Aamir M., 1991. "Transaction Data Tests of S&P 100 Call Option Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(4), pages 459-475, December.
  • Handle: RePEc:cup:jfinqa:v:26:y:1991:i:04:p:459-475_00
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    Cited by:

    1. Paul Brockman & Mustafa Chowdhury, 1997. "Deterministic versus stochastic volatility: implications for option pricing models," Applied Financial Economics, Taylor & Francis Journals, vol. 7(5), pages 499-505.
    2. Belssing Taruvinga, 2019. "Solving Selected Problems on American Option Pricing with the Method of Lines," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 4-2019, January-A.
    3. David S. Bates, 1995. "Testing Option Pricing Models," NBER Working Papers 5129, National Bureau of Economic Research, Inc.
    4. Zhu, Ke & Ling, Shiqing, 2015. "Model-based pricing for financial derivatives," Journal of Econometrics, Elsevier, vol. 187(2), pages 447-457.
    5. Narain & Narander Kumar Nigam & Piyush Pandey, 2016. "Behaviour and determinants of implied volatility in Indian market," Journal of Advances in Management Research, Emerald Group Publishing Limited, vol. 13(3), pages 271-291, November.
    6. Poon, Winnie P. H. & Duett, Edwin H., 1998. "An empirical examination of currency futures options under stochastic interest rates," Global Finance Journal, Elsevier, vol. 9(1), pages 29-50.
    7. Samet Gunay & Audil Rashid Khaki, 2018. "Best Fitting Fat Tail Distribution for the Volatilities of Energy Futures: Gev, Gat and Stable Distributions in GARCH and APARCH Models," JRFM, MDPI, vol. 11(2), pages 1-19, June.
    8. Nikkinen, Jussi, 2003. "Normality tests of option-implied risk-neutral densities: evidence from the small Finnish market," International Review of Financial Analysis, Elsevier, vol. 12(2), pages 99-116.
    9. Hui, Eddie Chi-man, 2006. "An enhanced implied tree model for option pricing: A study on Hong Kong property stock options," International Review of Economics & Finance, Elsevier, vol. 15(3), pages 324-345.
    10. Schmitt, Christian, 1996. "Option pricing using EGARCH models," ZEW Discussion Papers 96-20, ZEW - Leibniz Centre for European Economic Research.
    11. Lasser, Dennis J. & Spizman, Joshua D., 2016. "The value of the wildcard option in cash-settled American index options," Journal of Financial Markets, Elsevier, vol. 28(C), pages 116-131.
    12. Xu, Xinzhong & Taylor, Stephen J., 1995. "Conditional volatility and the informational efficiency of the PHLX currency options market," Journal of Banking & Finance, Elsevier, vol. 19(5), pages 803-821, August.
    13. Sergii Kuchuk-Iatsenko & Yuliya Mishura, 2016. "Option pricing in the model with stochastic volatility driven by Ornstein--Uhlenbeck process. Simulation," Papers 1601.01128, arXiv.org.
    14. Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1995. "Who buys and who sells options: The role and pricing of options in an economy with background risk," Discussion Papers, Series II 253, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    15. Boda Kang & Christina Nikitopoulos Sklibosios & Erik Schlogl & Blessing Taruvinga, 2019. "The Impact of Jumps on American Option Pricing: The S&P 100 Options Case," Research Paper Series 397, Quantitative Finance Research Centre, University of Technology, Sydney.
    16. Wu, Guojun & Xiao, Zhijie, 2002. "A generalized partially linear model of asymmetric volatility," Journal of Empirical Finance, Elsevier, vol. 9(3), pages 287-319, August.
    17. Jussi Nikkinen & Petri Sahlstrom, 2001. "Impact of Scheduled U.S. Macroeconomic News on Stock Market Uncertainty: A Multinational Perspecive," Multinational Finance Journal, Multinational Finance Journal, vol. 5(2), pages 129-148, June.
    18. Christine A. Brown, 1999. "The Volatility Structure Implied by Options on the SPI Futures Contract," Australian Journal of Management, Australian School of Business, vol. 24(2), pages 115-130, December.
    19. Li, Pengshi & Xian, Aichuan & Lin, Yan, 2021. "What determines volatility smile in China?," Economic Modelling, Elsevier, vol. 96(C), pages 326-335.
    20. Don Chance & Raman Kumar & Don Rich, 2000. "Dividend Forecast Biases in Index Option Valuation," Review of Derivatives Research, Springer, vol. 4(3), pages 285-303, October.
    21. Li, Minqiang, 2008. "Price Deviations of S&P 500 Index Options from the Black-Scholes Formula Follow a Simple Pattern," MPRA Paper 11530, University Library of Munich, Germany.
    22. 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.
    23. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.

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