Persistence analysis of the real estate US index and major cities

Abstract

This paper analyses the stochastic properties of the US real estate market in the long term (1987–2023). For this purpose, we rely on fractionally integrated methods to fill the gap left by studies focusing on possible cointegration that use linear unit root tests. Both original and log transformed data of house price indices have been used with and without taking inflation into account. Even though several studies mentioned mean reversion in the short term, in the long term the real estate market shows a clear pattern of high persistence and no reversion to the mean. The effect of inflation seems to add correlation to real prices and conversely, an increase in the integration factor. Structural breaks reveal that recent values of this integration factor are greater, thus prices are becoming more persistent.