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Two Trees
Authors:Cochrane  John H; Longstaff  Francis A; Santa-Clara  Pedro
Institution:University of Chicago
Abstract:We solve a model with two i.i.d. Lucas trees. Although the correspondingone-tree model produces a constant price-dividend ratio andi.i.d. returns, the two-tree model produces interesting asset-pricingdynamics. Investors want to rebalance their portfolios afterany change in value. Because the size of the trees is fixed,prices must adjust to offset this desire. As a result, expectedreturns, excess returns, and return volatility all vary throughtime. Returns display serial correlation and are predictablefrom price-dividend ratios. Return volatility differs from cash-flowvolatility, and return shocks can occur without news about cashflows.
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