Skip to main content
Log in

Multiscale Analysis of International Linkages of REIT Returns and Volatilities

  • Published:
The Journal of Real Estate Finance and Economics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Notes

  1. Dyadic size refers to a size which is multiples of 2.

  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.

  3. 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.

    Article  Google Scholar 

  • Boudoukh, J., Richardson, M., & Whitelaw, R. F. (2008). The myth of long-horizon predictability. Review of Financial Studies, 21, 1577–1605.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Crowley, P. M. (2007). A guide to wavelets for economists. Journal of Economic Surveys, 21, 207–267.

    Article  Google Scholar 

  • Duchesne, P. (2006). Testing for multivariate autoregressive conditional heteroskedasticity using wavelets. Computational Statistics & Data Analysis, 51, 2142–2163.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Eichholtz, P., Huisman, R., Koedijk, K., & Schuin, E. L. (1998). Continental factors in international real estate returns. Real Estate Economics, 26, 493–509.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Erb, C. B., Harvey, C. R., & Viskanta, T. E. (1994). Forecasting international equity correlations. Financial Analyst Journal, 50, 32–45.

    Article  Google Scholar 

  • Forbes, K., & Chinn, M. D. (2004). A decomposition of global linkages in financial markets over time. Review of Economics and Statistics, 86, 705–722.

    Article  Google Scholar 

  • Forbes, K., & Rigobon, R. (2002). No contagion, only interdependence: measuring stock market comovements. Journal of Finance, 57, 2223–2261.

    Article  Google Scholar 

  • Gençay, R., Selçuk, F., & Whitcher, B. (2002). An introduction to wavelets and other filtering methods in finance and economics. London: Academic.

    Google Scholar 

  • Granger, C. W. J. (1969). Investigating causal relations by econometric models and cross-spectral methods. Econometrica, 37, 424–438.

    Article  Google Scholar 

  • Grubel, H. (1968). Internationally diversified portfolios: welfare gains and capital flows. American Economic Review, 58, 1299–1314.

    Google Scholar 

  • Hamilton, J. D. (1994). Time series analysis. New Jersey: Princeton University Press.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Longin, F., & Solnik, B. (1995). Is the correlation in international equity returns constant: 1960–1990? Journal of International Money and Finance, 14, 3–26.

    Article  Google Scholar 

  • Longin, F., & Solnik, B. (2001). Extreme correlation of international equity markets. Journal of Finance, 56, 649–676.

    Article  Google Scholar 

  • Lynch, P. E., & Zumbach, G. O. (2003). Market heterogeneities and the causal structure of volatility. Quantitative Finance, 3, 320–331.

    Article  Google Scholar 

  • Malkiel, B. G. (2003). A random walk down wall street. New York: Norton.

    Google Scholar 

  • Markowitz, H. M. (1952). Portfolio selection. Journal of Finance, 7, 77–91.

    Google Scholar 

  • Morana, C., & Beltratti, A. (2008). Comovements in international stock markets. Journal of International Financial Markets, Institutions & Money, 18, 31–45.

    Article  Google Scholar 

  • Muller, U. A., Dacorogna, M. M., Dave, R. D., Pictet, O. V., Olsen, R. B., & Ward, J. R. (1993). Fractals and intrinsic timeA 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Percival, D. B., & Walden, A. T. (2000). Wavelet methods for time series analysis. Cambridge: Cambridge University Press.

    Google Scholar 

  • Ramsey, J. B. (2002). Wavelets in economics and finance: past and future. Studies in Nonlinear Dynamics & Econometrics, 6, 1–27.

    Article  Google Scholar 

  • Ramsey, J. B., & Lampart, C. (1998a). The decomposition of economic relationships by time scale using wavelets: money and income. Macroeconomic Dynamics, 2, 49–71.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Sharpe, W. F. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk. Journal of Finance, 19, 425–442.

    Google Scholar 

  • Shiller, R. J. (2000). Irrational exuberance. New Jersey: Princeton University Press.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Yunus, N., & Swanson, P. E. (2007). Modeling linkages between US and Asia-Pacific securitized property markets. Journal of Property Research, 24, 95–123.

    Article  Google Scholar 

Download references

Acknowledgements

We thank the Editor and an anonymous referee for their valuable comments and suggestions. All errors remain our own.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian Zhou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11146-011-9302-7

Keywords

Navigation