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Option Put-Call Parity Relations When the Underlying Security Pays Dividends

Author

Listed:
  • Weiyu Guo

    (Department of Finance, University of Nebraska¡XOmaha, U.S.A.)

  • Tie Su

    (Department of Finance, University of Miami, U.S.A.)

Abstract

The original put-call parity relations hold under the premise that the underlying security does not pay dividends before the expiration of the options. Similar to Hull (2003), this paper relaxes the non-dividend-paying assumption. The underlying security price in the original European-style put-call parity relation is adjusted downwards by the present value of expected dividends before the option expires. The upper bound of the American-style put-call parity relation is adjusted upwards by the amount of the present value of expected dividends. The results provide theoretical boundaries of options prices and expand application of put-call parity relations to all options on currencies and dividend-paying stocks and stock indices, both European-style and American-style.

Suggested Citation

  • Weiyu Guo & Tie Su, 2006. "Option Put-Call Parity Relations When the Underlying Security Pays Dividends," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 5(3), pages 225-230, December.
    • Handle: RePEc:ijb:journl:v:5:y:2006:i:3:p:225-230
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    References listed on IDEAS

    as
    1. 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..
    2. Cox, John C & Ross, Stephen A, 1976. "A Survey of Some New Results in Financial Option Pricing Theory," Journal of Finance, American Finance Association, vol. 31(2), pages 383-402, May.
    3. 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.
    4. Smith, Clifford Jr., 1976. "Option pricing : A review," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 3-51.
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    Cited by:

    1. Ziwei Ke & Joanna Goard, 2019. "Penalty American Options," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(02), pages 1-32, March.

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    More about this item

    Keywords

    options; dividends; put-call parity;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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