Question

In: Economics

Suppose the function u(x) = 2x represents your taste over gambles using an expected utility function....

Suppose the function u(x) = 2x represents your taste over gambles using an expected utility function. Consider a gamble that will result in a lifetime consumption of x0 with probability p, and x1 with probability 1 – p, where x1 > x0.

(a) Are you risk averse? Explain.  

(b) Write down the expected utility function.

(c) Derive your certainty equivalent of the gamble. Interpret its meaning.

(d) What is the expected value of the gamble?

(e) What is the risk premium of the gamble?

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