An Intertemporal Capital Asset Pricing Model with Owner-Occupied Housing

This article studies portfolio choice and asset pricing in the presence of owner-occupied housing in a continuous time framework. The unique feature of the model is that housing is a consumption good as well as a risky asset. Under general conditions, that is, when the utility function is not Cobb-Douglas and the covariance matrix is not block-diagonal, the model shows that the market portfolio is not mean-variance efficient, and the traditional capital asset pricing model fails. Nonetheless, a conditional linear factor pricing model holds with housing return and market portfolio return as two risk factors. The model also predicts that the nondurable consumption-to-housing ratio (ch) can forecast financial asset returns. The two factor pricing model conditioning on ch yields a good cross-sectional fit for Fama-French 25 portfolios.