Error correction dynamics of house prices: an equilibrium benchmark

Central to recent debates on the "mis-pricing" in the housing market and the proactive policy of central bank is the determination of the "fundamental house price." This paper builds a dynamic stochastic general equilibrium (DSGE) model that produces reduced-form dynamics that are consistent with the error-correction models proposed by Malpezzi (1999) and Capozza et al (2004). The dynamics of equilibrium house prices are tied to the dynamics of the house-price-to-income ratio. This paper also shows that house prices and incomes should be co-integrated, and hence provides a justification of using co-integration tests to detect possible "mis-pricing" in the housing market.