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CAPM option pricing

Author

Listed:
  • Husmann, Sven
  • Todorova, Neda

Abstract

This paper extends the option pricing equations of Black and Scholes [1973. Journal of Political Economy 81, 637–654], Jarrow and Madan [1997. European Finance Review 1, 15–30] and Husmann and Stephan [2007. Journal of Futures Markets 27, 961–979]. In particular, we show that the length of the individual planning horizon is a determinant of an option’s value. The derived pricing equations can be presented in terms of the Black and Scholes [1973. Journal of Political Economy 81, 637–654] option values which ensures an easy application in practice.

Suggested Citation

  • Husmann, Sven & Todorova, Neda, 2011. "CAPM option pricing," Finance Research Letters, Elsevier, vol. 8(4), pages 213-219.
    • Handle: RePEc:eee:finlet:v:8:y:2011:i:4:p:213-219
    DOI: 10.1016/j.frl.2011.03.001
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    References listed on IDEAS

    as
    1. Robert A. Jarrow & Dilip B. Madan, 1997. "Is Mean-Variance Analysis Vacuous: Or was Beta Still Born?," Review of Finance, European Finance Association, vol. 1(1), pages 15-30.
    2. Sven Husmann & Andreas Stephan, 2007. "On estimating an asset's implicit beta," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(10), pages 961-979, October.
    3. Rubinstein, Mark, 1984. "A Simple Formula for the Expected Rate of Return of an Option over a Finite Holding Period," Journal of Finance, American Finance Association, vol. 39(5), pages 1503-1509, December.
    4. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    5. 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.
    6. Joel M. Vanden, 2004. "Options Trading and the CAPM," The Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 207-238.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Arısoy, Yakup Eser & Altay-Salih, Aslıhan & Pınar, Mustafa Ç, 2014. "Optimal multi-period consumption and investment with short-sale constraints," Finance Research Letters, Elsevier, vol. 11(1), pages 16-24.
    2. Villena, Marcelo & Villena, Mauricio, 2011. "Option Pricing in an Oligopolistic Setting," MPRA Paper 57978, University Library of Munich, Germany, revised 16 Aug 2014.
    3. Buchner, Axel, 2015. "Equilibrium option pricing: A Monte Carlo approach," Finance Research Letters, Elsevier, vol. 15(C), pages 138-145.
    4. Chen, Son-Nan & Chiang, Mi-Hsiu & Hsu, Pao-Peng & Li, Chang-Yi, 2014. "Valuation of quanto options in a Markovian regime-switching market: A Markov-modulated Gaussian HJM model," Finance Research Letters, Elsevier, vol. 11(2), pages 161-172.
    5. Buchner, Axel, 2016. "Risk-adjusting the returns of private equity using the CAPM and multi-factor extensions," Finance Research Letters, Elsevier, vol. 16(C), pages 154-161.

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    More about this item

    Keywords

    Capital asset pricing model; Option pricing; Planning horizon; Incomplete markets;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models

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