Abstract
This paper extends the REIT literature on international market linkages by introducing a time scale dimension. In particular, we apply the maximum overlap discrete wavelet transform (MODWT) to seven major global REIT markets, and investigate their linkages among returns and volatilities at different time scales. Our findings suggest strong scale-dependency of the market linkages. Specifically, the linkage among returns generally increases with time scale, implying that portfolio diversification is most efficient at short time horizons. Moreover, the return linkage is found to be time varying and its dynamics varies across scales. In addition, results on the volatility linkage, which manifests itself through volatility comovements and spillover, show that volatility comovements generally strengthen as scale increases and volatility spillover varies across scales in terms of strength and direction. Our findings cast doubt on the use of the scale-free correlation coefficient as a universal measure of market linkage. Our findings can be utilized by time-scale-conscious investors to improve portfolio selection and risk management.
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Notes
Dyadic size refers to a size which is multiples of 2.
We do not estimate ρ at the sampling frequency of quarterly and yearly. The reason is that high levels of aggregation dramatically reduce the sample size: only 80 data points for quarterly and 20 for yearly. The small size prevents us from having reliable correlation estimates.
Similar to the arguments made in the static case, different factors may cause the dynamic correlations to vary across time scales. Therefore, it is worthwhile to investigate how they cause the differences. However, given the large scope of such an investigation, it is more suitable for a follow-up study. We wish to thank an anonymous reviewer for raising this comment.
References
Bala, L. (2004). Do time-varying covariances, volatility comovement and spillover matter? Pennsylvania State University, Department of Finance, Working paper.
Bond, S. A., Karolyi, G. Andrew, & Sanders, A. B. (2003). International real estate returns: a multifactor, multicountry approach. Real Estate Economics, 31, 481–500.
Boudoukh, J., Richardson, M., & Whitelaw, R. F. (2008). The myth of long-horizon predictability. Review of Financial Studies, 21, 1577–1605.
Bruce, A., & Gao, H. Y. (1996). Applied Wavelet Analysis with S-PLUS. Springer Verlag.
Cai, Y., Chou, R. Y., & Li, D. (2009). Explaining international stock correlations with CPI fluctuations and market volatility, forthcoming, Journal of Banking and Finance.
Calvet, L. E., Fisher, A. J., & Thompson, S. B. (2006). Volatility comovement: a multifrequency approach. Journal of Econometrics, 131, 179–215.
Crowley, P. M. (2007). A guide to wavelets for economists. Journal of Economic Surveys, 21, 207–267.
Duchesne, P. (2006). Testing for multivariate autoregressive conditional heteroskedasticity using wavelets. Computational Statistics & Data Analysis, 51, 2142–2163.
Dumas, B., Harvey, C., & Ruiz, P. (2003). Are correlations of stock returns justified by subsequent changes in national outputs? Journal of International Money and Finance, 22, 777–811.
Eichholtz, P., Huisman, R., Koedijk, K., & Schuin, E. L. (1998). Continental factors in international real estate returns. Real Estate Economics, 26, 493–509.
Engle, R. F. (2002). Dynamic conditional correlation: a simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business and Economic Statistics, 20, 339–350.
Erb, C. B., Harvey, C. R., & Viskanta, T. E. (1994). Forecasting international equity correlations. Financial Analyst Journal, 50, 32–45.
Forbes, K., & Chinn, M. D. (2004). A decomposition of global linkages in financial markets over time. Review of Economics and Statistics, 86, 705–722.
Forbes, K., & Rigobon, R. (2002). No contagion, only interdependence: measuring stock market comovements. Journal of Finance, 57, 2223–2261.
Gençay, R., Selçuk, F., & Whitcher, B. (2002). An introduction to wavelets and other filtering methods in finance and economics. London: Academic.
Granger, C. W. J. (1969). Investigating causal relations by econometric models and cross-spectral methods. Econometrica, 37, 424–438.
Grubel, H. (1968). Internationally diversified portfolios: welfare gains and capital flows. American Economic Review, 58, 1299–1314.
Hamilton, J. D. (1994). Time series analysis. New Jersey: Princeton University Press.
Johnson, R. A., & Wichern, D. W. (2005). Applied Multivariate Statistical Analysis. Prentice Hall.
King, M., Sentana, E., & Sushil, W. (1994). Volatility and links between national stock markets. Econometrica, 62, 901–933.
Lin, W.-L., Engle, R., & Ito, T. (1994). Do bulls and bears move across markets? International transmission of stock returns and volatility. Review of Financial Studies, 7, 507–538.
Liow, H. K., Ho, K. H. D., Ibrahim, M. F., & Chen, Z. (2009). Correlation and volatility dynamics in international real estate securities markets. Journal of Real Estate Finance and Economics, 39, 202–223.
Longin, F., & Solnik, B. (1995). Is the correlation in international equity returns constant: 1960–1990? Journal of International Money and Finance, 14, 3–26.
Longin, F., & Solnik, B. (2001). Extreme correlation of international equity markets. Journal of Finance, 56, 649–676.
Lynch, P. E., & Zumbach, G. O. (2003). Market heterogeneities and the causal structure of volatility. Quantitative Finance, 3, 320–331.
Malkiel, B. G. (2003). A random walk down wall street. New York: Norton.
Markowitz, H. M. (1952). Portfolio selection. Journal of Finance, 7, 77–91.
Morana, C., & Beltratti, A. (2008). Comovements in international stock markets. Journal of International Financial Markets, Institutions & Money, 18, 31–45.
Muller, U. A., Dacorogna, M. M., Dave, R. D., Pictet, O. V., Olsen, R. B., & Ward, J. R. (1993). Fractals and intrinsic time—A challenge to econometricians. Olsen and Associates, Working paper, Zurich, Switzerland.
Muller, U. A., Dacorogna, M. M., Davé, R. D., Olsen, R. B., Pictet, O. V., & von Weizsäcker, J. E. (1997). Volatilities of different time resolutions—analyzing the dynamics of market components. Journal of Empirical Finance, 4, 213–239.
Percival, D. B., & Mofjeld, H. O. (1997). Analysis of subtidal coastal sea level fluctuations using wavelets. Journal of the American Statistical Association, 92, 868–880.
Percival, D. B., & Walden, A. T. (2000). Wavelet methods for time series analysis. Cambridge: Cambridge University Press.
Ramsey, J. B. (2002). Wavelets in economics and finance: past and future. Studies in Nonlinear Dynamics & Econometrics, 6, 1–27.
Ramsey, J. B., & Lampart, C. (1998a). The decomposition of economic relationships by time scale using wavelets: money and income. Macroeconomic Dynamics, 2, 49–71.
Ramsey, J. B., & Lampart, C. (1998b). The decomposition of economic relationships by time scale using wavelets: expenditure and Income. Studies in Nonlinear Dynamics and Econometrics, 3, 23–42.
Ranta, M. (2010). Wavelet Multiresolution Analysis of Financial Time Series, Ph.D. dissertation, University of Vaasa, Finland.
Rua, A., & Nunes, L. C. (2009). International comovement of stock market returns: a wavelet analysis. Journal of Empirical Finance, 16, 632–639.
Sharpe, W. F. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk. Journal of Finance, 19, 425–442.
Shiller, R. J. (2000). Irrational exuberance. New Jersey: Princeton University Press.
Whitcher, B. (1998). Assessing Nonstationary Time Series Using Wavelets. Ph.D. thesis, University of Washington.
Worzala, E., & Sirmans, C. F. (2003). Investing in international real estate stocks: a review of the literature. Urban Studies, 40, 1115–49.
Xu, P. S., & Yang, J. (2009). U.S. monetary policy surprises and international securitized real estate markets, forthcoming, Journal of Real Estate Finance and Economics.
Yang, J., Zhou, Y., & Wang, Z. (2009). The stock-bond correlation and macroeconomic conditions: one and a half centuries of evidence. Journal of Banking and Finance, 33, 670–680.
Yunus, N., & Swanson, P. E. (2007). Modeling linkages between US and Asia-Pacific securitized property markets. Journal of Property Research, 24, 95–123.
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We thank the Editor and an anonymous referee for their valuable comments and suggestions. All errors remain our own.
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Zhou, J. Multiscale Analysis of International Linkages of REIT Returns and Volatilities. J Real Estate Finan Econ 45, 1062–1087 (2012). https://doi.org/10.1007/s11146-011-9302-7
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DOI: https://doi.org/10.1007/s11146-011-9302-7