An investor has a base (10 log) utility function: (U(x)=log _{10}(x)). Investment 1 has payoff ((1,100)) with

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An investor has a base \(10 \log\) utility function: \(U(x)=\log _{10}(x)\). Investment 1 has payoff \((1,100)\) with probabilities \((0.8,0.2)\). Investment 2 has payoff \((10,1000)\) with probabilities \((0.99,0.01)\).

(a) Which investment is mean-variance dominant?

(b) Which investment has higher expected utility?

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