Financial market equilibria with heterogeneous agents: CAPM and market segmentation
We consider a single-period financial market model with normally distributed returns and the presence of heterogeneous agents. Specifically, some investors are classical Expected Utility Maximizers whereas some others follow Cumulative Prospect Theory. Using well-known functional forms for the preferences, we analytically prove that a Security Market Line Theorem holds. This implies that Capital Asset Pricing Model is a necessary (though not sufficient) requirement in equilibria with positive prices. We correct some erroneous results about existence of equilibria with Cumulative Prospect Theory investors which had appeared in the last few years and we give sufficient conditions for an equilibrium to exist. To circumvent the complexity arising from the interaction of heterogeneous agents, we propose a segmented-market equilibrium model where segmentation is endogenously determined.
|Date of creation:||Sep 2011|
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- 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.
- Merton, Robert C., 1987.
"A simple model of capital market equilibrium with incomplete information,"
1869-87., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Merton, Robert C, 1987. " A Simple Model of Capital Market Equilibrium with Incomplete Information," Journal of Finance, American Finance Association, vol. 42(3), pages 483-510, July.
- Levy, Moshe, 2007. "Conditions for a CAPM equilibrium with positive prices," Journal of Economic Theory, Elsevier, vol. 137(1), pages 404-415, November.
- Dimmock, Stephen G. & Kouwenberg, Roy, 2010. "Loss-aversion and household portfolio choice," Journal of Empirical Finance, Elsevier, vol. 17(3), pages 441-459, June.
- Nielsen, Lars Tyge, 1992. " Positive Prices in CAPM," Journal of Finance, American Finance Association, vol. 47(2), pages 791-808, June.
- U Schmidt & H Zank, 2002.
"What is Loss Aversion?,"
The School of Economics Discussion Paper Series
0209, Economics, The University of Manchester.
- Botond Koszegi & Matthew Rabin, 2004.
"A Model of Reference-Dependent Preferences,"
Method and Hist of Econ Thought
- Koszegi, Botond & Rabin, Matthew, 2004. "A Model of Reference-Dependent Preferences," Department of Economics, Working Paper Series qt0w82b6nm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Botond Koszegi & Matthew Rabin, 2005. "A Model of Reference-Dependent Preferences," Levine's Bibliography 784828000000000341, UCLA Department of Economics.
- Haliassos, Michael & Bertaut, Carol C, 1995. "Why Do So Few Hold Stocks?," Economic Journal, Royal Economic Society, vol. 105(432), pages 1110-29, September.
- Fortin, Ines & Hlouskova, Jaroslava, 2011.
"Optimal asset allocation under linear loss aversion,"
Journal of Banking & Finance,
Elsevier, vol. 35(11), pages 2974-2990, November.
- Fortin, Ines & Hlouskova, Jaroslava, 2010. "Optimal Asset Allocation Under Linear Loss Aversion," Economics Series 257, Institute for Advanced Studies.
- 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.
- Bernard, Carole & Ghossoub, Mario, 2009. "Static Portfolio Choice under Cumulative Prospect Theory," MPRA Paper 15446, University Library of Munich, Germany.
- De Giorgi, Enrico & Hens, Thorsten & Rieger, Marc Oliver, 2010.
"Financial market equilibria with cumulative prospect theory,"
Journal of Mathematical Economics,
Elsevier, vol. 46(5), pages 633-651, September.
- Enrico De Giorgi & Thorsten Hens & Marc Oliver Rieger, 2007. "Financial Market Equilibria With Cumulative Prospect Therory," Swiss Finance Institute Research Paper Series 07-21, Swiss Finance Institute, revised Aug 2007.
- Sharpe, William F, 1991.
" Capital Asset Prices with and without Negative Holdings,"
Journal of Finance,
American Finance Association, vol. 46(2), pages 489-509, June.
- Sharpe, William F., 1990. "Capital Asset Prices With and Without Negative Holding," Nobel Prize in Economics documents 1990-3, Nobel Prize Committee.
- David A. Chapman & Valery Polkovnichenko, 2009. "First-Order Risk Aversion, Heterogeneity, and Asset Market Outcomes," Journal of Finance, American Finance Association, vol. 64(4), pages 1863-1887, 08.
- Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, Oxford University Press, vol. 116(1), pages 1-53.
- Hanqing Jin & Xun Yu Zhou, 2008. "Behavioral Portfolio Selection In Continuous Time," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 385-426.
- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- Xue Dong He & Xun Yu Zhou, 2011. "Portfolio Choice Under Cumulative Prospect Theory: An Analytical Treatment," Management Science, INFORMS, vol. 57(2), pages 315-331, February.
- Levy, Haim, 1978. "Equilibrium in an Imperfect Market: A Constraint on the Number of Securities in the Portfolio," American Economic Review, American Economic Association, vol. 68(4), pages 643-58, September.
- Hwang, Soosung & Satchell, Steve E., 2010. "How loss averse are investors in financial markets?," Journal of Banking & Finance, Elsevier, vol. 34(10), pages 2425-2438, October.
- Mehra, Rajnish & Prescott, Edward C., 1985.
"The equity premium: A puzzle,"
Journal of Monetary Economics,
Elsevier, vol. 15(2), pages 145-161, March.
- 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.
- Allingham, Michael, 1991. "Existence Theorems in the Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 59(4), pages 1169-74, July.
- Jonathan Ingersoll, 2008. "Non-Monotonicity of the Tversky-Kahneman Probability-Weighting Function: A Cautionary Note," European Financial Management, European Financial Management Association, vol. 14(3), pages 385-390.
- Nielsen, Lars Tyge, 1988. "Uniqueness of Equilibrium in the Classical Capital Asset Pricing Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(03), pages 329-336, September.
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