Two empirical questions concerning the equity and housing have been studied extensively: (1) Are the price and return serially correlated, and (2) What is the optimal weight of housing in the portfolio? The answer to the second question crucially depends on the cross-correlation of assets. This paper complements the literature by building a simple dynamic general equilibrium with fully rational agents, and obtain closed form solutions for the implied auto- and cross-correlations. The length of time horizon, as well as the persistence of economic shock matter. Implications and future research directions are then discussed.
rational expectation, price and return, serial and cross correlation, market efficiency, predictability
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