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CRRA Lottery Calculator (up to 3 outcomes)
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Inputs (yellow)Outputs (green)
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OutcomeAmount (x)Probability (p)MetricValue
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1$10.0050.0%Expected value (EV)$5.50
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2$1.0050.0%Expected utility (EU)1.151293
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3$1.000.0%Certainty equivalent (CE)$3.16
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Expected amount$5.50Risk premium (EV − CE)$2.34
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Eta (η): relative risk aversion
1.0 57.50%
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Sum of probabilities1.000
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Check (should be 1)OK
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Tip:
Set unused outcomes' probability to 0.
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Utility definition used
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If η ≠ 1: u(x) = x^(1−η) / (1−η)
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If η = 1: u(x) = ln(x)
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