Excess covariance and dynamic instability in a multi-asset model
AbstractThe presence of excess covariance in financial price returns is an accepted empirical fact: the price dynamics of financial assets tend to be more correlated than their fundamentals would justify. We advance an explanation of this fact based on an intertemporal equilibrium multi-assets model of financial markets with an explicit and endogenous price dynamics. The market is driven by an exogenous stochastic process of dividend yields paid by the assets that we identify as market fundamentals. The model is rather flexible and allows for the coexistence of different trading strategies. The evolution of assets price and traders' wealth is described by a high-dimensional stochastic dynamical system. We identify the equilibria of the model consistent with a baseline assumption of procedural rationality. We show that these equilibria are characterized by excess covariance in prices with respect to the dividend process. Moreover, we show that in equilibrium there is a positive expected marginal profit in choosing more risky portfolios. As a consequence, the evolutionary pressure generates a trend towards more remunerative strategies, which, in turn, increase the variance of prices and the dynamic instability of the system.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 36 (2012)
Issue (Month): 8 ()
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Web page: http://www.elsevier.com/locate/jedc
Excess covariance; Capital asset pricing model; Efficient market hypothesis; Heterogeneous agents; Procedurally consistent equilibrium;
Other versions of this item:
- Anufriev, M. & Bottazzi, G. & Marsili, M. & Pin, P., 2011. "Excess Covariance and Dynamic Instability in a Multi-Asset Model," CeNDEF Working Papers 11-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Robert J. Shiller, 1989.
"Comovements in Stock Prices and Comovements in Dividends,"
NBER Working Papers
2846, National Bureau of Economic Research, Inc.
- Shiller, Robert J, 1989. " Comovements in Stock Prices and Comovements in Dividends," Journal of Finance, American Finance Association, vol. 44(3), pages 719-29, July.
- Froot, Kenneth A. & Dabora, Emil M., 1999.
"How are stock prices affected by the location of trade?,"
Journal of Financial Economics,
Elsevier, vol. 53(2), pages 189-216, August.
- Kenneth A. Froot & Emil Dabora, 1998. "How are Stock Prices Affected by the Location of Trade?," NBER Working Papers 6572, National Bureau of Economic Research, Inc.
- Kallberg, Jarl & Pasquariello, Paolo, 2008. "Time-series and cross-sectional excess comovement in stock indexes," Journal of Empirical Finance, Elsevier, vol. 15(3), pages 481-502, June.
- Anufriev, Mikhail & Bottazzi, Giulio, 2010. "Market equilibria under procedural rationality," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1140-1172, November.
- Karl Schmedders, 2005.
"Two-Fund Separation in Dynamic General Equilibrium,"
1398, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Schmedders, Karl, 2007. "Two-fund separation in dynamic general equilibrium," Theoretical Economics, Econometric Society, vol. 2(2), June.
- Karl Schmedders, 2005. "Two-Fund Separation in Dynamic General Equilibrium," 2005 Meeting Papers 148, Society for Economic Dynamics.
- Laura Veldkamp, 2004.
"Information Markets and the Comovement of Asset Prices,"
04-18, New York University, Leonard N. Stern School of Business, Department of Economics.
- Laura L. Veldkamp, 2006. "Information Markets and the Comovement of Asset Prices," Review of Economic Studies, Oxford University Press, vol. 73(3), pages 823-845.
- Laura Veldkamp, 2004. "Information Markets and the Comovement of Asset Prices," 2004 Meeting Papers 539, Society for Economic Dynamics.
- Cars H. Hommes, 2005.
"Heterogeneous Agent Models in Economics and Finance,"
Tinbergen Institute Discussion Papers
05-056/1, Tinbergen Institute.
- 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.
- Anufriev, Mikhail & Dindo, Pietro, 2010.
"Wealth-driven selection in a financial market with heterogeneous agents,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 73(3), pages 327-358, March.
- Mikhail Anufriev & Pietro Dindo, 2007. "Wealth-driven Selection in a Financial Market with Heterogeneous Agents," LEM Papers Series 2007/27, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Battiston, Stefano & Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012.
"Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 36(8), pages 1121-1141.
- Stefano Battiston & Domenico Delli Gatti & Mauro Gallegati & Bruce C. Greenwald & Joseph E. Stiglitz, 2009. "Liaisons Dangereuses: Increasing Connectivity, Risk Sharing, and Systemic Risk," NBER Working Papers 15611, National Bureau of Economic Research, Inc.
- Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2013.
"Time-varying beta: a boundedly rational equilibrium approach,"
Journal of Evolutionary Economics,
Springer, vol. 23(3), pages 609-639, July.
- Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2010. "Time-Varying Beta: A Boundedly Rational Equilibrium Approach," Research Paper Series 275, Quantitative Finance Research Centre, University of Technology, Sydney.
- 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.
- Carl Chiarella & Roberto Dieci & Laura Gardini, 2005. "The Dynamic Interaction of Speculation and Diversification," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(1), pages 17-52.
- Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2008. "Evolutionary Finance," Swiss Finance Institute Research Paper Series 08-14, Swiss Finance Institute.
- Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
- 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.
- Kathy Yuan, 2005. "Asymmetric Price Movements and Borrowing Constraints: A Rational Expectations Equilibrium Model of Crises, Contagion, and Confusion," Journal of Finance, American Finance Association, vol. 60(1), pages 379-411, 02.
- Grandmont, Jean-Michel, 1985.
"On Endogenous Competitive Business Cycles,"
Econometric Society, vol. 53(5), pages 995-1045, September.
- Richard A. Brealey & Ian A. Cooper & Evi Kaplanis, 2010. "Excess Comovement in International Equity Markets: Evidence from Cross-border Mergers," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1718-1740, April.
- Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
- Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July.
- I. Mastromatteo & M. Marsili & P. Zoi, 2011. "Financial correlations at ultra-high frequency: theoretical models and empirical estimation," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 80(2), pages 243-253, March.
- 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.
- Brock, W.A. & Hommes, C.H., 1996. "Hetergeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model," Working papers 9621, Wisconsin Madison - Social Systems.
- Follmer, Hans & Horst, Ulrich & Kirman, Alan, 2005. "Equilibria in financial markets with heterogeneous agents: a probabilistic perspective," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 123-155, February.
- Laura E. Kodres & Matthew Pritsker, 2002. "A Rational Expectations Model of Financial Contagion," Journal of Finance, American Finance Association, vol. 57(2), pages 769-799, 04.
- Albert S. Kyle, 2001. "Contagion as a Wealth Effect," Journal of Finance, American Finance Association, vol. 56(4), pages 1401-1440, 08.
- Frank Westerhoff, 2003.
"Multi-Asset Market Dynamics,"
Computing in Economics and Finance 2003
88, Society for Computational Economics.
- Giulio Bottazzi & Pietro Dindo, 2010. "Evolution and market behavior with endogenous investment rules," LEM Papers Series 2010/20, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Iacopo Mastromatteo & Matteo Marsili & Patrick Zoi, 2010. "Financial correlations at ultra-high frequency: theoretical models and empirical estimation," Papers 1011.1011, arXiv.org, revised Feb 2011.
- Giacomo Raffaelli & Matteo Marsili, 2005. "Dynamic instability in a phenomenological model of correlated assets," Papers physics/0508159, arXiv.org, revised Apr 2006.
- Schmitt, Noemi & Westerhoff, Frank, 2013. "Speculative behavior and the dynamics of interacting stock markets," BERG Working Paper Series 90, Bamberg University, Bamberg Economic Research Group.
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