Abstract
Empirical studies on quoted options highlight deviations from the theoretical model of Black and Scholes; this is due to different causes, such as assumptions regarding the price dynamics, markets frictions and investors’ attitude toward risk. In this contribution, we focus on this latter issue and study how to value options within the continuous cumulative prospect theory. According to prospect theory, individuals do not always take their decisions consistently with the maximization of expected utility. Decision makers have biased probability estimates; they tend to underweight high probabilities and overweight low probabilities. Risk attitude, loss aversion and subjective probabilities are described by two functions: a value function and a weighting function, respectively. As in Versluis et al. [15], we evaluate European options; we consider the pricing problem both from the writer’s and holder’s perspective, and extend the model to the put option. We also use alternative probability weighting functions.
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References
Abbink, K., Rockenbach, B.: Option pricing by students and professional traders: A behavioral investigation. Managerial and Decision Economics 27(6), 497–510 (2006)
Abdellaoui, M., L’Haridon, O., Zank, H.: Separating curvature and elevation: A parametric probability weighting function. Journal of Risk and Uncertainty 41, 39–65 (2010)
Black, F., Scholes, M.: The pricing of options and corporate liabilities. Journal of Political Economy 81(3), 637–654 (1973)
Breuer, W., Perst, A.: Retail banking and behavioral financial engineering: The case of structured products. Journal of Banking and Finance 31(3), 827–844 (2007)
Barberis, N., Thaler, R.: A survey of behavioral finance. In: Constantinides, G.M., Harris, M., Stulz, R. (eds) Handbook of Economics and Finance, Elsevier Science, pp. 1052–1121(2003)
Davies, G.B., Satchell, S.E.: The behavioural components of risk aversion. Journal of Mathematical Psychology 51(1), 1–13 (2007)
Kahneman, D., Tversky, A.: Prospect theory: An analysis of decision under risk. Econometrica 47(2), 263–292 (1979)
Poteshman, A.M., Serbin, V.: Clearly irrational financial market behavior: Evidence from the early exercise of exchange traded stock options. Journal of Finance 58(1), 37–70 (2003)
Prelec, D.: The probability weighting function. Econometrica 66(3), 497–527 (1998)
Shefrin, H., Statman, M.: Behavioral aspects of the design and marketing of financial products. Financial Management 22(2), 123–134 (1993)
Shiller, R.J.: Human behavior and the efficiency of the financial system. In: Taylor, J.B., Woodford, M. (eds.) Handbook of Macroeconomics, vol. 1C, pp. 1305–1340. Elsevier, Amsterdam (1999)
Thaler, R.H.: Mental accounting and consumer choice. Marketing Science 4, 199–214 (1985)
Thaler, R.H.: Mental accounting matters. Journal of Behavioral Decision Making 12, 183–206 (1999)
Tversky, A., Kahneman, D.: Advances in prospect theory: cumulative representation of the uncertainty. Journal of risk and uncertainty 5, 297–323 (1992)
Versluis, C., Lehnert, T., Wolff, C.C.P.: A cumulative prospect theory approach to option pricing. Working paper (2010). Available at SSRN: http://ssrn.com/abstract=1717015
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Nardon, M., Pianca, P. (2014). A Behavioural Approach to the Pricing of European Options. In: Corazza, M., Pizzi, C. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. Springer, Cham. https://doi.org/10.1007/978-3-319-02499-8_20
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DOI: https://doi.org/10.1007/978-3-319-02499-8_20
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02498-1
Online ISBN: 978-3-319-02499-8
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