IDEAS home Printed from https://ideas.repec.org/a/wsi/ijfexx/v03y2016i04ns2424786316500249.html
   My bibliography  Save this article

On the impact of a scrip dividend on an equity forward

Author

Listed:
  • German Bernhart

    (Technische Universität München, Parkring 11, 85748 Garching-Hochbrück, Germany)

  • Jan-Frederik Mai

    (XAIA Investment GmbH, Sonnenstraße 19, 80331 München, Germany)

Abstract

We consider an equity forward contract on a stock which pays a dividend during the forward’s lifetime. Furthermore, the stock owner is assumed to have the right to opt for either cash or scrip dividend. In the latter case, the stock owner receives the dividend in the form of additional shares and the number of shares to be received depends on the average stock price in a certain averaging time period. The decision between scrip or cash must be made by the stock owner at some time point during the averaging period. Within a Black–Scholes-type setup we derive a closed formula for the fair strike price of such an equity forward contract in dependence on the stock volatility parameter. If the decision between scrip or cash can be delayed until close to the end of the averaging period, it is demonstrated how the optionality for the stock owner has a non-negligible value which lowers the forward equity strike.

Suggested Citation

  • German Bernhart & Jan-Frederik Mai, 2016. "On the impact of a scrip dividend on an equity forward," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(04), pages 1-16, December.
    • Handle: RePEc:wsi:ijfexx:v:03:y:2016:i:04:n:s2424786316500249
    DOI: 10.1142/S2424786316500249
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S2424786316500249
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S2424786316500249?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Roll, Richard, 1977. "An analytic valuation formula for unprotected American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 5(2), pages 251-258, November.
    2. Reimer Beneder & Ton Vorst, 2001. "Options on Dividend Paying Stocks," World Scientific Book Chapters, in: Jiongmin Yong (ed.), Recent Developments In Mathematical Finance, chapter 17, pages 204-217, World Scientific Publishing Co. Pte. Ltd..
    3. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    4. Green, Richard C. & Jarrow, Robert A., 1987. "Spanning and completeness in markets with contingent claims," Journal of Economic Theory, Elsevier, vol. 41(1), pages 202-210, February.
    5. 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.
    6. Geske, Robert, 1979. "A note on an analytical valuation formula for unprotected American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 7(4), pages 375-380, December.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Paolo Angelis & Roberto Marchis & Antonio L. Martire & Emilio Russo, 2022. "A flexible lattice framework for valuing options on assets paying discrete dividends and variable annuities embedding GMWB riders," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 415-446, June.
    2. Cosma, Antonio & Galluccio, Stefano & Pederzoli, Paola & Scaillet, Olivier, 2020. "Early Exercise Decision in American Options with Dividends, Stochastic Volatility, and Jumps," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 55(1), pages 331-356, February.
    3. Martin Wallmeier, 2024. "Quality issues of implied volatilities of index and stock options in the OptionMetrics IvyDB database," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(5), pages 854-875, May.
    4. Antonio Cosma & Stefano Galluccio & Paola Pederzoli & O. Scaillet, 2012. "Valuing American Options Using Fast Recursive Projections," Swiss Finance Institute Research Paper Series 12-26, Swiss Finance Institute.
    5. Martina Nardon & Paolo Pianca, 2008. "An efficient binomial approach to the pricing of options on stocks with cash dividends," Working Papers 178, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    6. Ma, Jingtang & Fan, Jiacheng, 2016. "Convergence rates of recombining trees for pricing options on stocks under GBM and regime-switching models with known cash dividends," The North American Journal of Economics and Finance, Elsevier, vol. 37(C), pages 128-147.
    7. Weihan Li & Jin E. Zhang & Xinfeng Ruan & Pakorn Aschakulporn, 2024. "An empirical study on the early exercise premium of American options: Evidence from OEX and XEO options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(7), pages 1117-1153, July.
    8. Chung, Y. Peter & Johnson, Herb, 2011. "Extendible options: The general case," Finance Research Letters, Elsevier, vol. 8(1), pages 15-20, March.
    9. Linda S. Klein & David R. Peterson, 1988. "Investor Expectations Of Volatility Increases Around Large Stock Splits As Implied In Call Option Premia," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 11(1), pages 71-80, March.
    10. 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.
    11. Robert L. Brown & Dominique Achour, 1984. "The Pricing of Land Options," Urban Studies, Urban Studies Journal Limited, vol. 21(3), pages 317-323, August.
    12. Chen, Yu-Fu & Zoega, Gylfi, 2010. "An essay on the generational effect of employment protection," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 349-359, May.
    13. Dan W. French & Edwin D. Maberly, 1992. "Early Exercise Of American Index Options," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 15(2), pages 127-137, June.
    14. Battauz, A. & Pratelli, M., 2004. "Optimal stopping and American options with discrete dividends and exogenous risk," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 255-265, October.
    15. Cassimon, D. & Engelen, P.J. & Thomassen, L. & Van Wouwe, M., 2007. "Closed-form valuation of American call options on stocks paying multiple dividends," Finance Research Letters, Elsevier, vol. 4(1), pages 33-48, March.
    16. Perrakis, Stylianos & Lefoll, Jean, 2000. "Option pricing and replication with transaction costs and dividends," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1527-1561, October.
    17. Karen Alpert, 2010. "Taxation and the Early Exercise of Call Options," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 37(5-6), pages 715-736.
    18. Broughton, John B. & Chance, Don M. & Smith, David M., 1995. "The impact of equity option expirations on the prices of non-expiring options," Review of Financial Economics, Elsevier, vol. 4(2), pages 109-123.
    19. Manuel Moreno & Javier Navas, 2003. "On the Robustness of Least-Squares Monte Carlo (LSM) for Pricing American Derivatives," Review of Derivatives Research, Springer, vol. 6(2), pages 107-128, May.
    20. Claudio Fontana & Markus Pelger & Eckhard Platen, 2017. "Sure Profits via Flash Strategies and the Impossibility of Predictable Jumps," Research Paper Series 385, Quantitative Finance Research Centre, University of Technology, Sydney.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijfexx:v:03:y:2016:i:04:n:s2424786316500249. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscientific.com/worldscinet/ijfe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.