Excess covariance and dynamic instability in a multi-asset model
The 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.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
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.
- 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.
- 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.
- Mikhail Anufriev & Pietro Dindo, 2009.
"Wealth-driven Selection in a Financial Market with Heterogeneous Agents,"
- 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.
- 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.
- 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.
- 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.
- C. Chiarella & X-Z. He, 2001.
"Asset price and wealth dynamics under heterogeneous expectations,"
Taylor & Francis Journals, vol. 1(5), pages 509-526.
- 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.
- 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.
- Bottazzi, Giulio & Dindo, Pietro, 2014.
"Evolution and market behavior with endogenous investment rules,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 48(C), pages 121-146.
- 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.
- Giacomo Raffaelli & Matteo Marsili, 2005. "Dynamic instability in a phenomenological model of correlated assets," Papers physics/0508159, arXiv.org, revised Apr 2006.
- 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.
- 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.
- 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;EDP Sciences, vol. 80(2), pages 243-253, March.
- Karl Schmedders, 2005.
"Two-Fund Separation in Dynamic General Equilibrium,"
2005 Meeting Papers
148, Society for Economic Dynamics.
- 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," Discussion Papers 1398, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Anufriev, Mikhail & Bottazzi, Giulio, 2010. "Market equilibria under procedural rationality," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1140-1172, November.
- 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.
- Laura Veldkamp, 2004.
"Information Markets and the Comovement of Asset Prices,"
2004 Meeting Papers
539, Society for Economic Dynamics.
- 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," Working Papers 04-18, New York University, Leonard N. Stern School of Business, Department of Economics.
- Frank Westerhoff, 2003.
"Multi-Asset Market Dynamics,"
Computing in Economics and Finance 2003
88, Society for Computational Economics.
- 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.
- 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.
- 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.
- Grandmont, Jean-Michel, 1985.
"On Endogenous Competitive Business Cycles,"
Econometric Society, vol. 53(5), pages 995-1045, September.
- Igor V. Evstigneev & Thorsten Hens & Klaus Reiner Schenk-Hoppé, 2008. "Evolutionary Finance," Swiss Finance Institute Research Paper Series 08-14, Swiss Finance Institute.
- Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
- 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.
- 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.
- 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.
- Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July.
- Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215.
- Albert S. Kyle, 2001. "Contagion as a Wealth Effect," Journal of Finance, American Finance Association, vol. 56(4), pages 1401-1440, 08.
When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:36:y:2012:i:8:p:1142-1161. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.