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Implied Index And Option Pricing Errors: Evidence From The Taiwan Option Market

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Listed:
  • Ching-Ping Wang
  • Hung-Hsi Huang
  • Chien-Chia Hung

Abstract

This study examines both restricted and unrestricted Black-Sholes models, according to Longstaff (1995). Using the Taiwan index options for each day from January 2005 to December 2008, the unrestricted model simultaneously solves the implied index value and implied volatility whereas the restricted model only solves the implied volatility. Next, this study compares the pricing performance of restricted and unrestricted Black-Scholes models. The empirical results show he implied index value is almost higher than the actual index value. Moneyness has a significant negative impact on the index pricing error for calls but negative impact for puts. Open interest has a significantly negative impact on the index pricing error for calls. Volatility for calls has no significant effect on the index pricing error. The path-dependent effect on index pricing error increases with index returns. The unrestricted model has significantly less option pricing bias for calls than the restricted model. The option pricing error for calls in the restricted model has much larger negative bias near the middle maturity. The R-square in the restricted model is always much larger than the unrestricted model for both calls and puts. Finally, the option pricing errors are significantly affected by moneyness and time to expiration for all cases; this fact is consistent with Longstaff (1995). Additionally, based on the criterion of adjusted R-square, this study investigated the optimal explanatory variables of index pricing error.

Suggested Citation

  • Ching-Ping Wang & Hung-Hsi Huang & Chien-Chia Hung, 2011. "Implied Index And Option Pricing Errors: Evidence From The Taiwan Option Market," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 5(2), pages 115-125.
  • Handle: RePEc:ibf:ijbfre:v:5:y:2011:i:2:p:115-125
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    References listed on IDEAS

    as
    1. Longstaff, Francis A, 1995. "Option Pricing and the Martingale Restriction," Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 1091-1124.
    2. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    3. Charles Corrado, 2007. "The hidden martingale restriction in Gram‐Charlier option prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(6), pages 517-534, June.
    4. Cédric de Ville de Goyet & Geert Dhaene & Piet Sercu, 2008. "Testing the martingale hypothesis for futures prices: Implications for hedgers," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(11), pages 1040-1065, November.
    5. MacBeth, James D & Merville, Larry J, 1980. "Tests of the Black-Scholes and Cox Call Option Valuation Models," Journal of Finance, American Finance Association, vol. 35(2), pages 285-301, May.
    6. Norman Strong & Xinzhong Xu, 1999. "Do S&P 500 index options violate the martingale restriction?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(5), pages 499-521, August.
    7. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    8. Calum G. Turvey & Sridar Komar, 2007. "Martingale Restrictions and the Implied Market Price of Risk," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 55(1), pages 138-158, March.
    9. Canina, Linda & Figlewski, Stephen, 1993. "The Informational Content of Implied Volatility," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 659-681.
    10. 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 637-654, May-June.
    11. Thomas Busch, 2008. "Testing the martingale restriction for option implied densities," Review of Derivatives Research, Springer, vol. 11(1), pages 61-81, March.
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    More about this item

    Keywords

    Index pricing error; option pricing error; Black-Scholes; implied volatility; implied index;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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