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Option Pricing and Replication with Transaction Costs and Dividends

Author

Listed:
  • Stylianos PERRAKIS

    (University of Ottawa)

  • Jean LEFOLL

    (University of Geneva)

Abstract

This paper derives optimal perfect hedging portfolios in the presence of transaction costs within the binomial model of stock returns, for a market maker that establishes bid and ask prices for American call options on stocks paying dividends prior to expiration. It is shown that, while the option holder's optimal exercise policy at the ex-dividend date varies according to the stock price, there are intervals of values for such a price where the optimal policy would depend on the holder's preferences. Nonetheless, the perfect hedging assumption still allows the derivation of optimal hedging portfolios for both long and short positions of a market maker on the option.

Suggested Citation

  • Stylianos PERRAKIS & Jean LEFOLL, 1999. "Option Pricing and Replication with Transaction Costs and Dividends," FAME Research Paper Series rp8, International Center for Financial Asset Management and Engineering.
    • Handle: RePEc:fam:rpseri:rp8
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    Citations

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    Cited by:

    1. George M. Constantinides & Michal Czerwonko & Stylianos Perrakis, 2020. "Mispriced index option portfolios," Financial Management, Financial Management Association International, vol. 49(2), pages 297-330, June.
    2. Tokarz, Krzysztof & Zastawniak, Tomasz, 2006. "American contingent claims under small proportional transaction costs," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 65-85, December.
    3. Perrakis, Stylianos & Lefoll, Jean, 2004. "The American put under transactions costs," Journal of Economic Dynamics and Control, Elsevier, vol. 28(5), pages 915-935, February.
    4. Martin ZIEGELBAECK & Guenther BREUER, 2014. "The role of market makers in the Euronext milling wheat contract," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 60(4), pages 183-187.
    5. Xing Gao & Daniel Ladley, 2022. "Noise trading and market stability," The European Journal of Finance, Taylor & Francis Journals, vol. 28(13-15), pages 1283-1301, October.
    6. Pedro Polvora & Daniel Sevcovic, 2021. "Utility indifference Option Pricing Model with a Non-Constant Risk-Aversion under Transaction Costs and Its Numerical Approximation," Papers 2108.12598, arXiv.org.
    7. Alet Roux, 2007. "The fundamental theorem of asset pricing under proportional transaction costs," Papers 0710.2758, arXiv.org.
    8. 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.
    9. Nan Zhang & Alet Roux & Tomasz Zastawniak, 2011. "Parallel Binomial American Option Pricing with (and without) Transaction Costs," Papers 1110.2477, arXiv.org.

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    JEL classification:

    • G3 - Financial Economics - - Corporate Finance and Governance

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