Piecewise continuous cumulative prospect theory and behavioral financial engineering
We extend the continuous Cumulative Prospect Theory (CPT) by considering piecewise con-tinuous distributions with a finite number of jump discontinuities. Such distributions are rele-vant in practice, for example, within the framework of financial engineering since cash flow distributions of most types of derivatives are only piecewise continuous. In addition, we ex-pand the model with a (piecewise) continuous version of hedonic framing which is, until now, only available in a discrete model setting. We show how to apply the model to a broad class of structured products. Finally, we apply Prospect Theory (PT), CPT, and expected utility theory to a set of different real-life certificates with piecewise continuous and discrete distributions in order to analyze whether there are any significant differences between the theories, and which theory is able to explain the demand behavior of a market participant best. As a result, we recommend the use of the piecewise continuous version of CPT to design products within the framework of behavioral financial engineering.
|Date of creation:||2011|
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- George Wu & Jiao Zhang & Mohammed Abdellaoui, 2005. "Testing Prospect Theories Using Probability Tradeoff Consistency," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 107-131, January.
- Breuer, Wolfgang & Hauten, Guido & Kreuz, Claudia, 2009. "Financial instruments with sports betting components: Marketing gimmick or a domain for behavioral finance?," Journal of Banking & Finance, Elsevier, vol. 33(12), pages 2241-2252, December.
- George Wu & Richard Gonzalez, 1996. "Curvature of the Probability Weighting Function," Management Science, INFORMS, vol. 42(12), pages 1676-1690, December.
- Wu, George, 1994. "An Empirical Test of Ordinal Independence," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 39-60, July.
- 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 637-54, May-June.
- Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
- Richard Thaler, 1985.
"Mental Accounting and Consumer Choice,"
INFORMS, vol. 4(3), pages 199-214.
- Marc Rieger & Mei Wang, 2008. "Prospect theory for continuous distributions," Journal of Risk and Uncertainty, Springer, vol. 36(1), pages 83-102, February.
- Mohammed Abdellaoui & Frank Vossmann & Martin Weber, 2005.
"Choice-Based Elicitation and Decomposition of Decision Weights for Gains and Losses Under Uncertainty,"
INFORMS, vol. 51(9), pages 1384-1399, September.
- Abdellaoui, Mohammed & Vossman, Frank & Weber, Martin, 2003. "Choice-Based Elicitation and Decomposition of Decision Weights for Gains and Losses Under Uncertainty," CEPR Discussion Papers 3756, C.E.P.R. Discussion Papers.
- Amos Tversky & Daniel Kahneman, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Levine's Working Paper Archive
7656, David K. Levine.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
- Luce, R Duncan, 1998. "Coalescing, Event Commutativity, and Theories of Utility," Journal of Risk and Uncertainty, Springer, vol. 16(1), pages 87-114, April.
- Camerer, Colin F & Ho, Teck-Hua, 1994. "Violations of the Betweenness Axiom and Nonlinearity in Probability," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 167-96, March.
- Nicholas Barberis & Ming Huang, 2008.
"Stocks as Lotteries: The Implications of Probability Weighting for Security Prices,"
American Economic Review,
American Economic Association, vol. 98(5), pages 2066-2100, December.
- Nicholas Barberis & Ming Huang, 2007. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," NBER Working Papers 12936, National Bureau of Economic Research, Inc.
- Michael Kilka & Martin Weber, 2001. "What Determines the Shape of the Probability Weighting Function Under Uncertainty?," Management Science, INFORMS, vol. 47(12), pages 1712-1726, December.
- 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.
- Humphrey, Steven J, 1995. "Regret Aversion or Event-Splitting Effects? More Evidence under Risk and Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 11(3), pages 263-74, December.
- Birnbaum, Michael H & Navarrete, Juan B, 1998. "Testing Descriptive Utility Theories: Violations of Stochastic Dominance and Cumulative Independence," Journal of Risk and Uncertainty, Springer, vol. 17(1), pages 49-78, October.
- Marc Rieger & Mei Wang, 2006. "Cumulative prospect theory and the St. Petersburg paradox," Economic Theory, Springer, vol. 28(3), pages 665-679, 08.
- Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
- Breuer, Wolfgang & Perst, Achim, 2007. "Retail banking and behavioral financial engineering: The case of structured products," Journal of Banking & Finance, Elsevier, vol. 31(3), pages 827-844, March.
- Michael Birnbaum, 2005. "A Comparison of Five Models that Predict Violations of First-Order Stochastic Dominance in Risky Decision Making," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 263-287, December.
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