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Two Trees

John H. Cochrane; Francis A. Longstaff; Pedro Santa-Clara

Review of Financial Studies 2008

We solve a model with two i.i.d. Lucas trees. Although the corresponding one-tree model produces a constant price-dividend ratio and i.i.d. returns, the two-tree model produces interesting asset-pricing dynamics. Investors want to rebalance their portfolios after any change in value. Because the size of the trees is fixed, prices must adjust to offset this desire. As a result, expected returns, excess returns, and return volatility all vary through time. Returns display serial correlation and are predictable from price-dividend ratios. Return volatility differs from cash-flow volatility, and return shocks can occur without news about cash flows.

DOI
10.1093/rfs/hhm059
Volume
21 (1)
Pages
347-385
Language
en
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