IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2005.05310.html
   My bibliography  Save this paper

Rational Finance Approach to Behavioral Option Pricing

Author

Listed:
  • Jiexin Dai
  • Abootaleb Shirvani
  • Frank J. Fabozzi

Abstract

When pricing options, there may be different views on the instantaneous mean return of the underlying price process. According to Black (1972), where there exist heterogeneous views on the instantaneous mean return, this will result in arbitrage opportunities. Behavioral finance proponents argue that such heterogenous views are likely to occur and this will not impact option pricing models proposed by rational dynamic asset pricing theory and will not give rise to volatility smiles. To rectify this, a leading advocate of behavioral finance has proposed a behavioral option pricing model. As there may be unexplored links between the behavioral and rational approaches to option pricing, in this paper we revisit Shefrin (2008) option pricing model as an example and suggest one approach to modify this behavioral finance option pricing formula to be consistent with rational dynamic asset pricing theory by introducing arbitrage transaction costs which offset the gains from arbitrage trades.

Suggested Citation

  • Jiexin Dai & Abootaleb Shirvani & Frank J. Fabozzi, 2020. "Rational Finance Approach to Behavioral Option Pricing," Papers 2005.05310, arXiv.org.
    • Handle: RePEc:arx:papers:2005.05310
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2005.05310
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Erhan Bayraktar & Zhou Zhou, 2015. "Arbitrage, hedging and utility maximization using semi-static trading strategies with American options," Papers 1502.06681, arXiv.org, revised Feb 2016.
    2. Shefrin, Hersh, 2008. "A Behavioral Approach to Asset Pricing," Elsevier Monographs, Elsevier, edition 2, number 9780123743565.
    3. Barberis, Nicholas & Thaler, Richard, 2003. "A survey of behavioral finance," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 18, pages 1053-1128, Elsevier.
    4. David Hirshleifer, 2001. "Investor Psychology and Asset Pricing," Journal of Finance, American Finance Association, vol. 56(4), pages 1533-1597, August.
    5. Zeckhauser, Richard, 1986. "Behavioral versus Rational Economics: What You See Is What You Conquer: Comments," The Journal of Business, University of Chicago Press, vol. 59(4), pages 435-449, October.
    6. Kim, Y.S. & Stoyanov, S. & Rachev, S. & Fabozzi, F., 2016. "Multi-purpose binomial model: Fitting all moments to the underlying geometric Brownian motion," Economics Letters, Elsevier, vol. 145(C), pages 225-229.
    7. Shefrin, Hersh & Statman, Meir, 2000. "Behavioral Portfolio Theory," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(2), pages 127-151, June.
    8. Robert J. Shiller, 2003. "From Efficient Markets Theory to Behavioral Finance," Journal of Economic Perspectives, American Economic Association, vol. 17(1), pages 83-104, Winter.
    9. 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.
    10. Rockenbach, Bettina, 2004. "The behavioral relevance of mental accounting for the pricing of financial options," Journal of Economic Behavior & Organization, Elsevier, vol. 53(4), pages 513-527, April.
    11. Hersh Shefrin & Meir Statman, 1993. "Behavioral Aspects of the Design and Marketing of Financial Products," Financial Management, Financial Management Association, vol. 22(2), Summer.
    12. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
    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. Svetlozar Rachev & Stoyan Stoyanov & Frank J. Fabozzi, 2017. "Behavioral Finance Option Pricing Formulas Consistent with Rational Dynamic Asset Pricing," Papers 1710.03205, arXiv.org.
    2. Christian Wolff & Thorsten Lehnert & Cokki Versluis, 2009. "A Cumulative Prospect Theory Approach to Option Pricing," LSF Research Working Paper Series 09-03, Luxembourg School of Finance, University of Luxembourg.
    3. Thorsten Hens & Marc Oliver Rieger, 2014. "Can utility optimization explain the demand for structured investment products?," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 673-681, April.
    4. Ahmed Hamed Al-Abbadi & Adam Abdullah, 2017. "Modeling Psychology in Islamic Wealth Management," International Journal of Economics and Finance, Canadian Center of Science and Education, vol. 9(10), pages 64-85, October.
    5. Jakusch, Sven Thorsten, 2017. "On the applicability of maximum likelihood methods: From experimental to financial data," SAFE Working Paper Series 148, Leibniz Institute for Financial Research SAFE, revised 2017.
    6. Alankar, Ashwin & Blausten, Peter & Scholes, Myron S., 2013. "The Cost of Constraints: Risk Management, Agency Theory and Asset Prices," Research Papers 2135, Stanford University, Graduate School of Business.
    7. Raman Uppal & Harjoat Bhamra, 2016. "Do Individual Behavioral Biases Affect Financial Markets and the Macroeconomy?," 2016 Meeting Papers 1358, Society for Economic Dynamics.
    8. Ter Horst, J.R. & Veld, C.H., 2002. "Behavioral Preferences for Individual Securities : The Case for Call Warrants and Call Options," Discussion Paper 2002-95, Tilburg University, Center for Economic Research.
    9. Ashutosh Pradhan, 2021. "Quantitative model for impact of behavioral biases on asset allocation decisions: a case study of investors in UAE," Journal of Asset Management, Palgrave Macmillan, vol. 22(7), pages 573-580, December.
    10. Li, Yan & Yang, Liyan, 2013. "Prospect theory, the disposition effect, and asset prices," Journal of Financial Economics, Elsevier, vol. 107(3), pages 715-739.
    11. Menkhoff, Lukas & Nikiforow, Marina, 2009. "Professionals' endorsement of behavioral finance: Does it impact their perception of markets and themselves?," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 318-329, August.
    12. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 9, July-Dece.
    13. N. S. Nanayakkara & P. D. Nimal & Y. K. Weerakoon, 2019. "Behavioural Asset Pricing: A Review," International Journal of Economics and Financial Issues, Econjournals, vol. 9(4), pages 101-108.
    14. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2010, January-A.
    15. Lukas Menkhoff & Ulrich Schmidt, 2005. "The use of trading strategies by fund managers: some first survey evidence," Applied Economics, Taylor & Francis Journals, vol. 37(15), pages 1719-1730.
    16. Matthijs Lof, 2015. "Rational Speculators, Contrarians, and Excess Volatility," Management Science, INFORMS, vol. 61(8), pages 1889-1901, August.
    17. Ilomäki, Jukka & Laurila, Hannu, 2018. "Animal spirits in financial markets: Experimental evidence," Journal of Behavioral and Experimental Finance, Elsevier, vol. 20(C), pages 99-104.
    18. Jenke ter Horst & Chris Veld, 2008. "An Empirical Analysis of the Pricing of Bank Issued Options versus Options Exchange Options," European Financial Management, European Financial Management Association, vol. 14(2), pages 288-314, March.
    19. Tai-Yuen Hon & Massoud Moslehpour & Kai-Yin Woo, 2021. "Review on Behavioral Finance with Empirical Evidence," Advances in Decision Sciences, Asia University, Taiwan, vol. 25(4), pages 15-41, December.
    20. Sonntag, Dominik, 2018. "Die Theorie der fairen geometrischen Rendite [The Theory of Fair Geometric Returns]," MPRA Paper 87082, University Library of Munich, Germany.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:arx:papers:2005.05310. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.