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High-Frequency Volatility Forecasting of US Housing Markets

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Abstract

We propose a logistic smooth transition autoregressive fractionally integrated [STARFI (p, d)] process for modeling and forecasting US housing price volatility. We discuss the statistical properties of the model and investigate its forecasting performance by assuming various specifications for the dynamics underlying the variance process in the model. Using a unique database of daily data on price indices from ten major US cities, and the corresponding daily Composite 10 Housing Price Index, and also a housing futures price index, we find that using the Markov-switching multifractal (MSM) and FIGARCH frameworks for modeling the variance process helps improving the gains in forecast accuracy.

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Notes

  1. See: https://www.federalreserve.gov/releases/z1/20190920/html/b101h.htm.

  2. For example, consider the following case: if low-valued houses’ values are relatively volatile, then policies that encourage low-income renter households to become homeowners should be evaluated in light of the house price risk that they would bear.

  3. It must be realized that, the features of market efficiency, long-memory, nonlinearity, and non-normality, as observed traditionally for other asset markets, are however not likely due to the usage of high-frequency data of the housing market. In fact, these features have also been reported for low- frequency (monthly, quarterly, and annual) data for the US by studies such as Canarella et al. (2012, 2019), Barros et al. (2015), Balcilar et al. (2015), Gupta and Majumdar (2015).

  4. Liu et al. (2007) find that assuming other base distributions, such as lognormal and gamma, makes little difference in empirical applications.

  5. As mentioned by Granger (1999) the issue associated with the non-differentiability may be just a technicality due to the fact that it should always be possible to find a smooth function which is arbitrarily close to the non-smooth one.

  6. We would like to thank an anonymous referee for pointing this out to us.

References

  • Ajmi, A. H., Babalos, V., Economou, F., Gupta, R. (2014). Real estate market and uncertainty shocks: a novel variance causality approach. Frontiers in Finance and Economics, 2, 56–85.

    Google Scholar 

  • André, C., Bonga-Bonga, L., Gupta, R., Mwamba, J. W. M. (2017). Economic policy uncertainty, us real housing returns and their volatility: a nonparametric approach. Journal of Real Estate Research, 39, 493–513.

    Google Scholar 

  • Andreou, E., Ghysels, E., Kourtellos, A. (2010). Regression models with mixed sampling frequencies. Journal of Econometrics, 158, 246–261.

    Article  Google Scholar 

  • Apergis, N., & Payne, J. E. (2012). Convergence in U.S. housing prices by state: Evidence from the club convergence and clustering procedure. Letters in Spatial and Resource Sciences, 5, 103–111.

    Article  Google Scholar 

  • Baillie, R. T., Bollerslev, T., Mikkelsen, H. O. (1996). Fractionally integrated generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 74, 3–30.

    Article  Google Scholar 

  • Balcilar, M., Gupta, R., Miller, S. M. (2015). The out-of-sample forecasting performance of nonlinear models of regional housing prices in the US. Applied Economics, 47, 2259–2277.

    Article  Google Scholar 

  • Banbura, M., Giannone, D., Reichlin, L. (2011). Oxford Handbook on Economic Forecasting, chap. nowcasting, (pp. 63–90). Oxford: Oxford University Press.

    Google Scholar 

  • Barros, C. P., Gil-Alana, L. A., Payne, J. E. (2014). Tests of convergence and long memory behavior in u.s. housing prices by state. Journal of Housing Research, 23, 73–88.

    Article  Google Scholar 

  • Barros, C. P., GilAlana, L. A., Payne, J. E. (2015). Modeling the long memory behavior in U.S. housing price volatility. Journal of Housing Research, 24, 87–106.

    Article  Google Scholar 

  • Barros, P. C., Gil-Alana, L. A., Payne, J. E. (2015). Modeling the long memory behavior in U.S. housing price volatility. Journal of Housing Research, 24, 87–106.

    Article  Google Scholar 

  • Beran, J. (1994). Statistics for Long-memory Processes. New York: Chapman and Hall.

    Google Scholar 

  • Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31, 307–327.

    Article  Google Scholar 

  • Bollerslev, T., Engle, R. F., Nelson, D. (1994). Handbook of econometrics, vol. 4, chap. ARCH models, (pp. 2961–3038). Amsterdam: Elsevier Science BV.

    Google Scholar 

  • Bollerslev, T., Patton, A., Wang, W. (2016). Daily house price index: Construction modelling and longer-run predictions. Journal of Applied Econometrics, 31, 1005–1025.

    Article  Google Scholar 

  • Bork, L., & Møller, S.V. (2015). Forecasting house prices in the 50 states using dynamic model averaging and dynamic model selection. International Journal of Forecasting, 31, 63–78.

    Article  Google Scholar 

  • Bougerol, P., & Picard, N. (1992). Stationarity of GARCH processes and of some nonnegative time series. Journal of Econometrics, 52, 115–127.

    Article  Google Scholar 

  • Calvet, L., & Fisher, A. (2001). Forecasting multifractal volatility. Journal of Econometrics, 105, 27–58.

    Article  Google Scholar 

  • Calvet, L., & Fisher, A. (2004). Regime-switching and the estimation of multifractal processes. Journal of Financial Econometrics, 2, 44–83.

    Article  Google Scholar 

  • Canarella, G., Gil-Alana, L.A., Payne, R., Miller, S.M. (2019). Persistence and cyclical dynamics of US and UK house prices: Evidence from over 150 years of data. Urban Studies. https://doi.org/10.1177/0042098019872691.

  • Canarella, G., Miller, S. M., Pollard, S. K. (2012). Unit roots and structural change: an application to US house-price indices. Urban Studies, 49, 757–776.

    Article  Google Scholar 

  • Case, K. E., Quigley, J. M., Shiller, R. J. (2013). Wealth effects revisited 1975-2012. Critical Finance Review, 2, 101–128.

    Article  Google Scholar 

  • Chan, F., & McAleer, M. (2002). Maximum likelihood estimation of STAR and STAR-GARCH models: Theory and monthe carlo evidence. Journal of Applied Econometrics, 17, 509–534.

    Article  Google Scholar 

  • Chen, H. (2017). Real estate transfer taxes and housing price volatility in the United States. International real Estate Review, 20, 207–219.

    Google Scholar 

  • Conrad, C., & Haag, B. R. (2006). Inequality constraints in the fractionally integrated GARCH model. Journal of Financial Econometrics, 4, 413–449.

    Article  Google Scholar 

  • Crawford, F. W., & Fratantoni, M. C. (2003). Assessing the forecasting performance of regime switching ARIMA and GARCH models of home prices. Real Estate Economics, 31, 223–243.

    Article  Google Scholar 

  • Dickey, D. A., & Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74, 427–431.

    Google Scholar 

  • Ding, Z., Granger, C., Engle, R. (1993). A long memory property of stock market returns and a new model. Journal of Empirical Finance, 1, 83–106.

    Article  Google Scholar 

  • Dolde, W., & Tirtiroglu, D. (2002). House price volatility changes and their effects. Real Estate Economics, 30, 41–66.

    Article  Google Scholar 

  • Douc, R., Roueff, F., Soulier, P. (2008). On the existence of some ARCH\((\infty )\) processes. Stochastic Processes and Applications, 118, 755–761.

    Article  Google Scholar 

  • Elder, J., & Villupuram, S. (2012). Persistence in the return and volatility of home price indices. Applied Financial Economics, 22, 1855–1868.

    Article  Google Scholar 

  • Engsted, T., & Pedersen, T. Q. (2014). Housing market volatility in the OECD area: Evidence from VAR based return decompositions. Journal of Macroeconomics, 42, 91–103.

    Article  Google Scholar 

  • Fairchild, J., Ma, J., Wu, S. (2015). Understanding housing market volatility. Journal of Money Credit and Banking, 47, 1309–1337.

    Article  Google Scholar 

  • Giraitis, L., Kokoszka, P., Leipus, R. (2000). Stationarity ARCH models: Dependence structure and central limit theorem. Econometric Theory, 16, 3–22.

    Article  Google Scholar 

  • Glosten, L., Jagannathan, R., Runkle, D. E. (1993). On the relation between the expected value and volatility of the nominal excess return on stocks. Journal of Finance, 46, 1779–1801.

    Article  Google Scholar 

  • Granger, C. W. (1999). Outline of forecast theory using generalized cost functions. Spanish Economic Review, 1, 161–173.

    Article  Google Scholar 

  • Gupta, R., & Majumdar, A. (2015). Forecasting US real house price returns over 1831-2013: evidence from copula models. Applied Economics, 47, 5204–5213.

    Article  Google Scholar 

  • Hansen, P. R., Lunde, A., Nason, J. M. (2011). The model confidence set. Econometrica, 79, 453–497.

    Article  Google Scholar 

  • Henderson, J. V., & Ioannides, Y. (1987). Owner occupancy: Consumption vs. investment demand. Journal of Urban Economics, 21, 228–241.

    Article  Google Scholar 

  • Hentschel, L. (1995). All in the family nesting symmetric and asymmetric GARCH models. Journal of Financial Economics, 39, 71–104.

    Article  Google Scholar 

  • Hill, B. M. (1975). A simple general approach to inference the tail of a distribution. Annals of Statistics, 3, 1163–1174.

    Article  Google Scholar 

  • Hosking, J. R. (1981). Fractional differencing. Biometrika, 68, 165–176.

    Article  Google Scholar 

  • Kazakevicius, V., & Leipus, R. (2002). On stationarity in the ARCH\((\infty )\) model. Econometric Theory, 18, 1–16.

    Article  Google Scholar 

  • Lee, T. H., White, H., Granger, C. W. J. (1993). Testing for neglected nonlinearity in time series models. Journal of Econometrics, 56, 269–290.

    Article  Google Scholar 

  • Li, K. W. (2012). A study on the volatility forecast of the US housing market in the 2008 crisis. Applied Financial Economics, 22, 1869–1880.

    Article  Google Scholar 

  • Ling, S., & McAleer, M. (2002). Necessary and sufficient moment conditions for the GARCH(r,s) and asymmetric power GARCH(r,s) models. Econometric Theory, 18, 722–729.

    Article  Google Scholar 

  • Liu, R., di Matteo, T., Lux, T. (2007). True and apparent scaling: The proximity of the Markov-switching multifractal model to long-range dependence. Physica A, 383, 35–42.

    Article  Google Scholar 

  • Lundbergh, S., & Terasvirta, T. (1999). Modelling economic high frequency time series with STAR-STGARCH models. SSE/EFI Working Paper Series in Economics and Finance, No. 291.

  • Lux, T. (2008). The Markov-switching multifractal model of asset returns: GMM estimation and linear forecasting of volatility. Journal of Business and Economic Statistics, 26, 194–210.

    Article  Google Scholar 

  • Lux, T., & Ausloos, M. (2002). Market fluctuations I: scaling, multi-scaling and their possible origins. In Bunde, A., Kropp, J., Schellnhuber, H. J. (Eds.) Science of disasters: Climate disruptions, heart attacks and market crashes (pp. 372–409). Berlin: Springer.

  • Mandelbrot, B. B., Fisher, A., Calvet, L. (1997). A multifractal model of asset returns. Cowles Foundation Discussion Papers 1164, Cowles Foundation for Research in Economics, Yale University.

  • Miles, W. (2008a). Boom-bust cycles and the forecasting performance of linear and non-linear models of house prices. Journal of Real Estate Finance and Economics, 36, 249–264.

    Article  Google Scholar 

  • Miles, W. (2008b). Volatility clustering in U.S. home prices. Journal of Real Estate Research, 30, 73–90.

    Google Scholar 

  • Miles, W. (2011). Long range dependence in U.S. house prices volatility. Journal of Real Estate Finance and Economics, 42, 214–240.

    Article  Google Scholar 

  • Miles, W. (2015). Regional house price segmentation and convergence in the US: a new approach. Journal of Real Estate Finance and Economics, 50, 113–128.

    Article  Google Scholar 

  • Miller, N. G., & Peng, L. (2006). Exploring metropolitan price volatility. Journal of Real Estate Finance and Economics, 33, 5–18.

    Article  Google Scholar 

  • Montañés, A., & Olmos, L. (2013). Convergence in US house prices. Economics Letters, 121, 152–155.

    Article  Google Scholar 

  • Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: a new approach. Econometrica, 59, 347–370.

    Article  Google Scholar 

  • Nyakabawo, W., Gupta, R., Marfatia, H. A. (2018). High frequency impact of monetary policy and macroeconomic surprises on US MSAs, aggregate US housing returns and asymmetric volatility. Advances in Decision Sciences, 22, 1–26.

    Article  Google Scholar 

  • Phillips, P., & Perron, P. (1988). Testing for a unit root in time series regression. Biometrika, 75, 335–346.

    Article  Google Scholar 

  • Shiller, R. (1998). Macro markets: Creating institutions for managing society’s largest economic risks. New York: Oxford University Press.

    Book  Google Scholar 

  • Shiryaev, A. (1995). Probability (Graduate Texts in Mathematics), 2nd edn. Berlin: Springer.

    Google Scholar 

  • Teraesvirta, T., Liu, C. F., Granger, C. W. J. (1993). Power of the neural network linearity test. Journal of Time Series Analysis, 14, 209–220.

    Article  Google Scholar 

  • Wang, W. (2014). Daily house price indexes: Volatility dynamics and longer-run predictions. Ph.D. thesis, Duke University. Available for download from: https://dukespace.lib.duke.edu/dspace/handle/10161/8694.

  • Weron, R. (2002). Estimating long-range dependence: finite sample properties and confidence intervals. Physica A: Statistical Mechanics and its Applications, 312, 285–299.

    Article  Google Scholar 

  • White, H. (2000). A reality check for data snooping. Econometrica, 68, 1097–1126.

    Article  Google Scholar 

  • Wooldridge, J. (1994). Aspects of modelling nonlinear time series, chap. estimation and inference for dependent processes, (pp. 2639–2738). Amsterdam: Elsevier Science.

    Google Scholar 

  • Zhou, Y., & Haurin, D. R. (2010). On the determinants of house value volatility. The Journal of Real Estate Research, 32, 377–396.

    Google Scholar 

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Acknowledgments

We would like to thank an anonymous referee for many helpful comments. However, any remaining errors are solely ours.

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Correspondence to Mawuli Segnon.

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Segnon, M., Gupta, R., Lesame, K. et al. High-Frequency Volatility Forecasting of US Housing Markets. J Real Estate Finan Econ 62, 283–317 (2021). https://doi.org/10.1007/s11146-020-09745-w

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