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Power Utility and Persistence in Consumption Growth 20 Circles: phi = 1, 2, 3, 4, 5, 10, 15, 20, 25, 30, 35 Equity Premium (AR%) 15 10 Mehra-Prescott, c growth autocorr = -0.14 5% 1% Power utility, c growth autocorr = -0.34 5 U.S. data 0 Power utility, c growth autocorr = 0.3 -5 Mehra-Prescott, c growth autocorr = 0.14 -10 -10 0 10 20 30 40 50 60 Risk Free Rate (AR%) 63 70 80 90 Figure 2. Impact of habit persistence parameters, h and b 25 h=0.0 Equity Premium (AR%) 20 x = b/(exp(theta)-h) theta = 0.0045 x = 0.85 h=0.1 15 h=0.2 x = 0.83 1% 10 Optimum (b=0.58, h=0.3, J=0.38) h=0.8 5% 5 0 -2 U.S. Data -1 0 x = 0.81 x = 0.30 1 2 3 4 Risk Free Rate (AR%) 64 5 6