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We evaluate whether the introduction of pessimistic homogeneous beliefs in the frictionless Lucas-Mehra-Prescott model and the Kehoe-Levine-Alvarez-Jermann model with endogenous borrowing constraints, helps explain the equity premium, the risk-free rate and the equity volatility puzzles as well as the short-term momentum and long-term reversal of excess returns. We calibrate the model to U.S. d...