Stationarity and Cointegration in Systems with Real Estate and Financial Assets

This study examines the properties of wealth indices for investments in several asset classes (real estate, stocks, bonds, and Treasury bills), for several types of real estate (office, retail, research and development office, and warehouse), and by region (East, Midwest, South, and West). The series representing the value of investments in real estate and financial assets are not stationary; therefore, ordinary statistical procedures cannot be applied. Since many of the properties that are included in the real estate series have outside appraisals on an annual basis, especially in the fourth quarter, the real estate series may show seasonal influences. Hence, the appropriate test for cointegration is the Johansen's test, which is formulated in such a way as to allow for deterministic seasonality by the inclusion of seasonal dummy variables. The finding of cointegration implies that there is a long-run relationship between the series in the cointegrated system. When the CPI (or a proxy for inflation) is included in the three systems, the number of common factors increase to two, implying that inflation plays an important role in creating a linkage between these time series. These findings also have implications for developing portfolios comprising financial assets and real estate. The findings also have implications for developing a model to forecast real estate prices.