ABCDEFGHIJKLMNOPQRSTUVWXYZ
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Estimation Error
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True distribution of annual excess returns
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r ~ N(m,s)
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m =0.24
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s =0.3
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Summary
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90% confidence
95% confidence
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meanstdminmax0.050.950.0250.975
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True Distribution
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mean0.24
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std0.3
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10 years of annual data (10 observations)
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mean0.2380.087-0.0040.4510.0950.3850.0370.416
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std0.3020.0670.1240.4890.1940.4130.1590.443
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100 years of annual data (100 observations)
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mean0.2370.0280.1690.3110.1810.2890.1770.302
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std0.2970.0240.2410.3530.2480.3330.2440.344
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1000 years of annual data (100 observations)
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mean0.2400.0090.2090.2630.2220.2560.2180.259
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std0.2990.0060.2810.3170.2880.3090.2860.311
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10 years of monthly data (120 observations)
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mean0.2270.0930.0010.4440.0500.3820.0320.403
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std0.2970.0200.2550.3430.2660.3300.2630.339
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10 years of monthly data (520 observations)
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mean0.2310.0850.0470.4560.0760.3730.0560.384
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std0.2990.0090.2750.3280.2850.3130.2800.320
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