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Extracting information on implied volatilities and discrete dividends from American options prices

Author

Listed:
  • Martina Nardon

    () (Department of Economics, University Of Venice C� Foscari)

  • Paolo Pianca

    (pianca@unive.it)

Abstract

This contribution deals with options on assets which pay cash dividends. Pricing methods which consider discrete dividends are usually computationally expensive; a first purpose of this paper is to study efficient and accurate numerical procedures which yield consistent prices for both European and American options in the presence of discrete dividends. We then analyze some methodologies to extract information on volatilities and dividends from observable option prices. Implied dividends can also be computed using a modified version of the well known put-call parity relationship. This technique is straightforward, nevertheless, its use is limited to European options and, when dealing with equities, most traded options are of American-type. As an alternative, numerical inversion of pricing methods can be used. We apply different procedures to obtain implied volatilities and dividends of listed stocks of the Italian Derivatives Market.

Suggested Citation

  • Martina Nardon & Paolo Pianca, 2012. "Extracting information on implied volatilities and discrete dividends from American options prices," Working Papers 2012_25, Department of Economics, University of Venice "Ca' Foscari".
  • Handle: RePEc:ven:wpaper:2012_25
    as

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    References listed on IDEAS

    as
    1. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    2. M. H. Vellekoop & J. W. Nieuwenhuis, 2006. "Efficient Pricing of Derivatives on Assets with Discrete Dividends," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(3), pages 265-284.
    3. Geske, Robert, 1981. "Comments on Whaley's note," Journal of Financial Economics, Elsevier, vol. 9(2), pages 213-215, June.
    4. Brooks, Raymond M., 1994. "Dividend predicting using put-call parity," International Review of Economics & Finance, Elsevier, vol. 3(4), pages 373-392.
    5. Antonella Basso & Martina Nardon & Paolo Pianca, 2004. "A two-step simulation procedure to analyze the exercise features of American options," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 27(1), pages 35-56, August.
    6. Whaley, Robert E., 1981. "On the valuation of American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 9(2), pages 207-211, June.
    7. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    8. Carlos Veiga & Uwe Wystup, 2009. "Closed Formula for Options with Discrete Dividends and Its Derivatives," Applied Mathematical Finance, Taylor & Francis Journals, vol. 16(6), pages 517-531.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Options on stocks; discrete dividends; lattice methods; implied volatilities; implied dividends.;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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