Asset return and wealth dynamics with reference dependent preferences and heterogeneous beliefs
AbstractWe study a model of a financial market populated with heterogenous agents whose preferences exhibit dependence on some reference level of wealth. Investment decisions of the agents are myopic and are based upon the demand for the risky asset derived from an S-shaped utility maximization. The specific demand form allows to model both heterogeneity of the system relative to the reference points of the agents and heterogeneity with respect to their beliefs about the future asset return. We analyze the impact of the former layer of heterogeneity on the asset return and wealth dynamics.
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Bibliographic InfoPaper provided by Department of Applied Mathematics, Università Ca' Foscari Venezia in its series Working Papers with number 160.
Length: 18 pages
Date of creation: Jan 2008
Date of revision:
Find related papers by JEL classification:
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
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- repec:wop:humbsf:2000-96 is not listed on IDEAS
- Duffy, John, 2001. "Learning to speculate: Experiments with artificial and real agents," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 295-319, March.
- Brock, William A. & Hommes, Cars H. & Wagener, Florian O. O., 2005.
"Evolutionary dynamics in markets with many trader types,"
Journal of Mathematical Economics,
Elsevier, vol. 41(1-2), pages 7-42, February.
- Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2002. "Evolutionary dynamics in markets with many trader types," CeNDEF Working Papers 02-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Sergiy Gerasymchuk, 2007. "Mean-Variance Portfolio Selection with Reference Dependent Preferences," Working Papers 150, Department of Applied Mathematics, Università Ca' Foscari Venezia.
- Mikhail Anufriev & Giulio Bottazzi, 2004. "Asset Pricing Model with Heterogeneous Investment Horizons," LEM Papers Series 2004/22, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- repec:att:wimass:9621 is not listed on IDEAS
- Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
- Carl Chiarella & Xue-Zhong He, 2001.
"Asset Price and Wealth Dynamics Under Heterogeneous Expectations,"
Research Paper Series
56, Quantitative Finance Research Centre, University of Technology, Sydney.
- C. Chiarella & X-Z. He, 2001. "Asset price and wealth dynamics under heterogeneous expectations," Quantitative Finance, Taylor & Francis Journals, vol. 1(5), pages 509-526.
- Xue-Zhong (Tony) He & Carl Chiarella, 2001. "Asset Price and Wealth Dynamics under Heterogeneous Expectations," CeNDEF Workshop Papers, January 2001 5A.2, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Brock, William A. & Hommes, Cars H., 1998.
"Heterogeneous beliefs and routes to chaos in a simple asset pricing model,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 22(8-9), pages 1235-1274, August.
- Großklags, Jens & Schmidt, Carsten & Siegel, Jonathan, 2000. "Dumb software agents on an experimental asset market," SFB 373 Discussion Papers 2000,96, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Chen, Shu-Heng & Yeh, Chia-Hsuan, 2001. "Evolving traders and the business school with genetic programming: A new architecture of the agent-based artificial stock market," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 363-393, March.
- Day, R. & Huang, W., 1988.
"Bulls, Bears And Market Sheep,"
m8822, Southern California - Department of Economics.
- Shu-Heng Chen & Thomas Lux & Michele Marchesi, 1999.
"Testing for Non-Linear Structure in an Artificial Financial Market,"
Discussion Paper Serie B
447, University of Bonn, Germany.
- Chen, Shu-Heng & Lux, Thomas & Marchesi, Michele, 2001. "Testing for non-linear structure in an artificial financial market," Journal of Economic Behavior & Organization, Elsevier, vol. 46(3), pages 327-342, November.
- Florian Wagener & Cars Hommes & William Brock, 2006.
"More hedging instruments may destabilize markets,"
wp06-11, Warwick Business School, Finance Group.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, .
"Noise Trader Risk in Financial Markets,"
J. Bradford De Long's Working Papers
_124, University of California at Berkeley, Economics Department.
- Valentyn Panchenko & Sergiy Gerasymchuk & Oleg V. Pavlov, 2007. "Asset price dynamics with small world interactions under hetereogeneous beliefs," Working Papers 149, Department of Applied Mathematics, Università Ca' Foscari Venezia.
- repec:att:wimass:9625 is not listed on IDEAS
- repec:att:wimass:9530 is not listed on IDEAS
- W. Brian Arthur & John H. Holland & Blake LeBaron & Richard Palmer & Paul Taylor, 1996.
"Asset Pricing Under Endogenous Expectation in an Artificial Stock Market,"
96-12-093, Santa Fe Institute.
- Kahneman, Daniel & Tversky, Amos, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Econometric Society, vol. 47(2), pages 263-91, March.
- Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
- Hommes, Cars & Huang, Hai & Wang, Duo, 2005. "A robust rational route to randomness in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 29(6), pages 1043-1072, June.
- Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
- William Brock & Cars Hommes & Florian Wagener, 2006. "More Hedging Instruments may destablize Markets," Tinbergen Institute Discussion Papers 06-080/1, Tinbergen Institute, revised 30 Apr 2008.
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- Cars H. Hommes, 2005. "Heterogeneous Agent Models in Economics and Finance," Tinbergen Institute Discussion Papers 05-056/1, Tinbergen Institute.
- Anufriev, Mikhail & Bottazzi, Giulio & Pancotto, Francesca, 2006. "Equilibria, stability and asymptotic dominance in a speculative market with heterogeneous traders," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1787-1835.
- Kirman, Alan, 1993. "Ants, Rationality, and Recruitment," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 137-56, February.
- J. Doyne Farmer & Shareen Joshi, 2000.
"The price dynamics of common trading strategies,"
- de Farias Neto, Joao Jose, 2008. "S-shaped utility, subprime crash and the black swan," MPRA Paper 12122, University Library of Munich, Germany.
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