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Heterogeneity and Volatility Puzzles in International Finance

Published online by Cambridge University Press:  10 September 2010

Tao Li  and
Mark L. Muzere
Tao Li
Affiliation:
Department of Economics and Finance, City University of Hong Kong, 83 Tat Chee Ave., Kowloon, Hong Kong. taoli96@gmail.com
Mark L. Muzere
Affiliation:
School of Business, Langston University, PO Box 1500, Langston, OK 73050. mlmuzere@lunet.edu
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Abstract

We develop an equilibrium model in a 2-country, 2-good, pure exchange economy in which investors with logarithmic utility functions have heterogeneous beliefs about exogenously given output or endowment processes. We obtain closed-form representations of real exchange rates and of stock prices. We show that heterogeneous beliefs together with heterogeneous preferences make the volatility of real exchange rates and of stocks exhibit some properties that have been well documented in the empirical literature. These properties include the high volatility of both real exchange rates and stocks compared with that of economic fundamentals, the high correlation of stocks during periods of volatile markets. The model can also generate the clustering of the volatility of foreign exchange rates and stocks if the differences of beliefs are clustering.

Type
Research Articles
Information
Journal of Financial and Quantitative Analysis , Volume 45 , Issue 6 , December 2010 , pp. 1485 - 1516
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2010

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References

Backus, D. K.; Kehoe, P. J.; and Kydland, F. E.. “Dynamics of the Trade Balance and the Terms of Trade: The J-Curve?” American Economic Review, 84 (1994), 84–103.Google Scholar
Basak, S. “A Model of Dynamic Equilibrium Asset Pricing with Heterogeneous Beliefs and Extraneous Risk.” Journal of Economic Dynamics and Control, 24 (2000), 63–95.CrossRefGoogle Scholar
Baxter, M., and Stockman, A. C.. “Business Cycles and the Exchange Rate Regime: Some International Evidence.” Journal of Monetary Economics, 23 (1989), 377–400.CrossRefGoogle Scholar
Bollerslev, T.; Chou, R. Y.; and Kroner, K. F.. “ARCH Modeling in Finance: A Review of the Theory and Empirical Evidence.” Journal of Econometrics, 52 (1992), 5–59.CrossRefGoogle Scholar
Boyer, B. H.; Kumagai, T.; and Yuan, K.. “How Do Crises Spread? Evidence from Accessible and Inaccessible Stock Indices.” Journal of Finance, 61 (2006), 957–1003.CrossRefGoogle Scholar
Campbell, J. Y., and Cochrane, J. H.. “By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior.” Journal of Political Economy, 107 (1999), 205–251.CrossRefGoogle Scholar
Cole, H. L., and Obstfeld, M.. “Commodity Trade and International Risk Sharing: How Much Do Financial Markets Matter?” Journal of Monetary Economics, 28 (1991), 3–24.CrossRefGoogle Scholar
Cox, J. C., and Huang, C.-F.. “Optimal Consumption and Portfolio Policies When Asset Prices Follow a Diffusion Process.” Journal of Economic Theory, 49 (1989), 33–83.CrossRefGoogle Scholar
Detemple, J., and Murthy, S.. “Intertemporal Asset Pricing with Heterogeneous Beliefs.” Journal of Economic Theory, 62 (1994), 294–320.CrossRefGoogle Scholar
Diebold, F. X., and Nerlove, M.. “The Dynamics of Exchange Rate Volatility: A Multivariate Latent Factor ARCH Model.” Journal of Applied Econometrics, 4 (1989), 1–21.CrossRefGoogle Scholar
Dornbusch, R. “Expectations and Exchange Rate Dynamics.” Journal of Political Economy, 84 (1976), 1161–1176.CrossRefGoogle Scholar
Dumas, B. “Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World.” Review of Financial Studies, 5 (1992), 153–180.CrossRefGoogle Scholar
Dumas, B.; Harvey, C. R.; and Ruiz, P.. “Are Correlations of Stock Returns Justified by Subsequent Changes in National Outputs.” Journal of International Money and Finance, 22 (2003), 777–811.CrossRefGoogle Scholar
Dybvig, P. H., and Huang, C.-F.. “Nonnegative Wealth, Absence of Arbitrage, and Feasible Consumption Plans.” Review of Financial Studies, 4 (1988), 377–401.CrossRefGoogle Scholar
Flood, R. P., and Rose, A. K.. “Fixing Exchange Rates: A Virtual Quest for Fundamentals.” Journal of Monetary Economics, 36 (1995), 3–37.CrossRefGoogle Scholar
Frankel, J. On Exchange Rates. Cambridge, MA: MIT Press (1993).Google Scholar
Gros, D. “On the Volatility of Exchange Rates: Tests of Monetary and Portfolio Balance Models of Exchange Rate Determination.” Weltwirtschaftliches Archiv, 125 (1989), 273–295.CrossRefGoogle Scholar
Hamao, Y.; Masulis, R. W.; and Ng, V.. “Correlations in Price Changes and Volatility across International Stock Markets.” Review of Financial Studies, 3 (1990), 281–307.CrossRefGoogle Scholar
Huang, R. D. “The Monetary Approach to Exchange Rate in an Efficient Foreign Exchange Market: Tests Based on Volatility.” Journal of Finance, 36 (1981), 31–41.CrossRefGoogle Scholar
Ito, T.; Engle, R. F.; and Lin, W.-L.. “Where Does the Meteor Shower Come From? The Role of Stochastic Policy Coordination.” Journal of International Economics, 32 (1992), 221–240.CrossRefGoogle Scholar
Karatzas, I.; Lehoczky, J. P.; and Shreve, S. E.. “Optimal Portfolio and Consumption Decisions for Small Investor on a Finite Horizon.” Siam Journal of Control and Optimization, 25 (1987), 1557–1586.CrossRefGoogle Scholar
Karatzas, I., and Shreve, S. E.. Brownian Motion and Stochastic Calculus. New York, NY: Springer-Verlag (1991).Google Scholar
Karolyi, G. A., and Stulz, R. M.. “Are Financial Assets Priced Locally or Globally?” In Handbook of the Economics of Finance, Vol. 1B, Constantinides, G., Harris, M., and Stulz, R. M., eds. Amsterdam, The Netherlands: North-Holland (2003),975–1020.Google Scholar
King, M.; Sentana, E.; and Wadhwani, S.. “Volatility and Links between National Stock Markets.” Econometrica, 62 (1994), 901–933.CrossRefGoogle Scholar
King, M. A., and Wadhwani, S.. “Transmission of Volatility between Stock Markets.” Review of Financial Studies, 3 (1990), 5–33.CrossRefGoogle Scholar
Kollmann, R. “A Dynamic Equilibrium Model of International Portfolio Holdings: Comment.” Econometrica, 74 (2006), 269–273.CrossRefGoogle Scholar
Li, T. “Heterogeneous Beliefs, Asset Prices, and Volatility in a Pure Exchange Economy.” Journal of Economic Dynamics and Control, 31 (2007), 1697–1727.CrossRefGoogle Scholar
Li, T. “Margin Requirements and Stock Price Volatility When Agents’ Beliefs Are Heterogeneous.” Working Paper, City University of Hong Kong (2008).CrossRefGoogle Scholar
Lin, W.-L.; Engle, R. F.; and Ito, T.. “Do Bulls and Bears Move across Borders? International Transmission of Stock Returns and Volatility.” Review of Financial Studies, 7 (1994), 507–538.CrossRefGoogle Scholar
Liptser, R. S., and Shiryayev, A. N.. Statistics of Random Processes I: General Theory. New York, NY: Springer-Verlag (1977).CrossRefGoogle Scholar
Longin, F., and Solnik, B.. “Extreme Correlation of International Equity Markets.” Journal of Finance, 56 (2001), 649–676.CrossRefGoogle Scholar
Lucas, R. E. Jr. “Interest Rates and Currency Prices in a Two-Country World.” Journal of Monetary Economics, 10 (1982), 335–359.CrossRefGoogle Scholar
Mayshar, J. “On Divergence of Opinion and Imperfections in Capital Markets.” American Economic Review, 73 (1983), 114–128.Google Scholar
Obstfeld, M., and Rogoff, K. S.. Foundations of International Macroeconomics. Cambridge, MA: MIT Press (1996).Google Scholar
Obstfeld, M., and Rogoff, K.. “The Six Major Puzzles in International Macroeconomics: Is There a Common Cause?” NBER Macroeconomic Annual, 15 (2000), 339–390.CrossRefGoogle Scholar
Pavlova, A., and Cass, D.. “On Trees and Logs.” Journal of Economic Theory, 116 (2004), 41–83.Google Scholar
Pavlova, A., and Rigobon, R.. “Asset Prices and Exchange Rates.” Review of Financial Studies, 20 (2007), 1139–1181.CrossRefGoogle Scholar
Pavlova, A., and Rigobon, R.. “The Role of Portfolio Constraints in the International Propagation of Shocks.” Review of Economic Studies, 75 (2008), 1215–1256.CrossRefGoogle Scholar
Radner, R. “Existence of Equilibrium Plans, Prices, and Price Expectations in a Sequence of Markets.” Econometrica, 40 (1972), 289–303.CrossRefGoogle Scholar
Schwert, G. W. “Why Does Stock Market Volatility Change Over Time?” Journal of Finance, 44 (1989), 1115–1153.CrossRefGoogle Scholar
Serrat, A. “A Dynamic Equilibrium Model of International Portfolio Holdings.” Econometrica, 69 (2001), 1467–1489.CrossRefGoogle Scholar
Shiller, R. J. “Do Stock Prices Move Too Much to Be Justified by Subsequent Changes in Dividends?” American Economic Review, 71 (1981), 421–436.Google Scholar
Solnik, B.; Boucrelle, C.; and Le Fur, Y.. “International Market Correlation and Volatility.” Financial Analysts Journal, 52 (1996), 17–34.CrossRefGoogle Scholar
Stockman, A. C., and Dellas, H.. “International Portfolio Nondiversification and Exchange Rate Variability.” Journal of International Economics, 26 (1989), 271–289.CrossRefGoogle Scholar
Stulz, R. M. “An Equilibrium Model of Exchange Rate Determination and Asset Pricing with Nontraded Goods and Imperfect Information.” Journal of Political Economy, 95 (1987), 1024–1040.CrossRefGoogle Scholar
Varian, H. R. “Divergence of Opinion in Complete Markets: A Note.” Journal of Finance, 40 (1985), 309–317.CrossRefGoogle Scholar
West, K. D. “Dividend Innovations and Stock Price Volatility.” Econometrica, 56 (1988), 37–61.CrossRefGoogle Scholar
Zapatero, F. “Equilibrium Asset Prices and Exchange Rates.” Journal of Economic Dynamics and Control, 19 (1995), 787–811.CrossRefGoogle Scholar
Zapatero, F. “Effects of Financial Innovations on Market Volatility When Beliefs Are Heterogeneous.” Journal of Economic Dynamics and Control, 22 (1998), 597–626.CrossRefGoogle Scholar