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Regime dependent volatilities and correlation in international securitized real estate markets

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Abstract

This paper studies the role of regime shifts and time-varying volatilities in market integration in a Markov-switching volatility regime environment among the US, European and Asian developed securitized real estate markets. With a two-state volatility model, the study finds the co-dependence, co-movement and synchronization of volatility regime at the high volatility state are stronger between the US and European securitized real estate markets. Although correlations among the markets are higher in a high volatility regime than in a low volatility regime, there is limited evidence of contagious effects during the high volatility periods between some markets. Moreover, the unsecuritized real estate markets are different from their securitized equivalent in the volatility regime characteristics, correlation pattern and level, as well as the extent of correlation change and contagion effect in high volatility state. Thus, the regime-switching results from stock markets may not be automatically extended to the corresponding public real estate markets, and requires rigorous empirical scrutiny.

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Notes

  1. There are two forms of real estate investment: private real estate investment and public (securitized) real estate investment. The former refers to physical real estate assets with steady cash flows. The latter is a more liquid and low-cost channel to gain real estate exposure such as listed property companies and Real Estate Investment Trusts (known as REITs). Securitized real estate is also referred as “public real estate”. From this point onward, the terms “securitized real estate”, “public real estate”, “listed real estate” and “real estate” will be used interchangeably throughout the paper.

  2. There is growing recognition on the important role of real estate such as its contribution to lower overall portfolio risk, providing high absolute returns and hedging against unexpected inflation or deflation (Hudson-Wilson et al. 2003).

  3. EPRA stands for European Public Real Estate Association; INREV is the European Association for Investors in Non-listed Real Estate Vehicles.

  4. The EPRA and National Association of Real Estate Investment Trusts NAREIT) estimate the market capitalization of these eight markets is at least about 90% of the global public real estate market.

  5. As in Edwards and Susmel (2001), since our interest is on bivariate switching and three states (k− = 3) considerably complicate the estimation, we focus our attention on a two-state system (k − 2), although we recognise that in some public real estate markets, a three-state SWARCH model may be more appropriate (Liow and Ye 2014). Ramchand and Susmel (1998) also find a two-state (k = 2) formulation is a parsimonious way to capture the shift in variance, “In fact a two-state formulation is able to capture in a statistical and economic sense, the changes in variance regimes, while a three-state regime is rejected (page 399).” Finally, there are two states/regimes which are widely discussed and analysed in the literature: bullish and bearish. A bullish market corresponds to a state of high return and low volatility, while a bearish market indicates low return and high volatility.

  6. As a first step in our analysis of public real estate market volatility, we find high volatility persistence and evidence of structural change in the volatility process for all series. After rejecting the null hypothesis of no regime switch, we propose a bivariate SWARCH model that links correlations to the volatility regime.

  7. For the purpose of this study and for parsimonious reason, we will only investigate across nine market-pairs (out of 28 pairs):

    1. (a)

      US and AU, US and HK, US and JP, US and SG

    2. (b)

      US and FR, US and GE, US and UK

    3. (c)

      UK and FR, UK and GE

    In (a) and (b) above, US is the “originator” (defined as a market whose change in the volatility state causes a change in the correlation coefficient with a recipient market) of each pair. Hence the correlation coefficients are state-dependent. Moreover, the covariance matrix is specified as a constant correlation matrix with the diagonal elements follow a SWARCH process. Finally, given the leading position of the US securitized real estate market in the global setting and considered plausible. For (c), the UK market (the largest in Europe) is specified as the volatility “originator” among the three European real estate markets.

  8. The optimal lag length (p) of the eight-variable MS-VAR (p) is chosen as p = 2 based on the minimized AIC criterion (AIC at lag 2 = 38175.436). The model is estimated by BFGS and with a function value of 20264.9221.

  9. The mean volatility values in regime 1 (low volatility) are 0.000316 (US), 0.000521 (UK), 0.000516 (FR), 0.000640(GE), 0.000425 (AU), 0.00109 (HK), 0.00130 (JP) and 0.000914 (SG). They are: 0.00330 (US), 0.00328 (UK), 0.00230 (FR), 0.00434 (GE), 0.00317 (AU), 0.00483 (HK), 0.00414 (JP) and 0.00550 (SG) in regime 2 (high volatility).

  10. Please consult Forbes and Rigobon (2002) for a detailed description of contagion test methodology.

  11. We first specify the GFC period to cover the period from August 1, 2007 to March 31, 2009 following the timeline provided by the Fed Reserve Board of St. Louis. From this, a pre-crisis period (before August 1, 2007) of equal duration is specified. For the eight markets, we then estimate their respective conditional volatilities [based on a GARCH (1,1) model] for both the pre-GFC and GFC period, conditional volatility correlation during the GFC period, and finally the unconditional return correlation during the pre-GFC and GFC periods. The results are not presented for brevity reason.

  12. The bivariate SWARCH results are not presented for brevity reason.

  13. The optimal lag length (p) of the eight-variable unsecuritized MS-VAR (1) is chosen as p = 1 based on the minimized AIC criterion (AIC at lag 1 = −39.379958). The model is estimated by BFGS and converges in 13 iterations with a function value of 23612.7511.

  14. The detailed MS-VAR (1) results for the eight unsecuritized real estate markets are not reported for brevity.

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Acknowledgements

The first author wishes to acknowledge the funding support given by the Ministry of Education, Singapore, in respect of the research project R-297-000-119-112 to which this paper is related to. The funding agency had no involvement in study design, data collection and analysis, development of results and final preparation of report, as well as decision to submit the article for publication.

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Correspondence to Kim Hiang Liow.

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Liow, K.H., Ye, Q. Regime dependent volatilities and correlation in international securitized real estate markets. Empirica 45, 457–487 (2018). https://doi.org/10.1007/s10663-017-9368-4

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