Notes on Collateral Constraints in a Simple Model of Housing

FRB Richmond Working Paper No. 09-3

14 Pages Posted: 12 Dec 2012

Date Written: April 7, 2009


These notes provide the derivations of results stated without proof in Hornstein (2009). For a simple model of the demand for housing, it is shown that on a balanced growth path, the rate at which the relative price of housing changes over time is determined by the relative productivity growth rates of the housing sector and the rest of the economy. The model is then modified to include a collateral constrained consumer. We show that collateral constraints may affect the level of the housing price path, but they do not affect the growth rate of housing prices.

Keywords: house prices, owner occupied housing, collateral constraints

JEL Classification: E2, R2

Suggested Citation

Hornstein, Andreas, Notes on Collateral Constraints in a Simple Model of Housing (April 7, 2009). FRB Richmond Working Paper No. 09-3. Available at SSRN: or

Andreas Hornstein (Contact Author)

Federal Reserve Bank of Richmond ( email )

P.O. Box 27622
Richmond, VA 23261
United States
804-697-8266 (Phone)
804-697-8255 (Fax)

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