2. Warren is risk-averse, with Bernoulli utility function u(w) = Vw and initial wealth W. He has access to an investment opportunity described by the following lottery: final wealth 4W with probability 1/2, final wealth W/9 with probability 1/2. Treat W as a given number. (a) What is the expected wealth generate by the lottery? (b) What is Warren's expected utility for this lottery? (c) What is Warren's certainty equivalent of this lottery? (d) What is the difference (meaning subtraction) between the lottery's expected wealth and the certainty equivalent?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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2. Warren is risk-averse, with Bernoulli utility function u(w) = Vw and initial wealth W.
He has access to an investment opportunity described by the following lottery: final
wealth 4W with probability 1/2, final wealth W/9 with probability 1/2. Treat W as a
given number.
(a) What is the expected wealth generate by the lottery?
(b) What is Warren's expected utility for this lottery?
(c) What is Warren's certainty equivalent of this lottery?
(d) What is the difference (meaning subtraction) between the lottery's expected
wealth and the certainty equivalent?
Transcribed Image Text:2. Warren is risk-averse, with Bernoulli utility function u(w) = Vw and initial wealth W. He has access to an investment opportunity described by the following lottery: final wealth 4W with probability 1/2, final wealth W/9 with probability 1/2. Treat W as a given number. (a) What is the expected wealth generate by the lottery? (b) What is Warren's expected utility for this lottery? (c) What is Warren's certainty equivalent of this lottery? (d) What is the difference (meaning subtraction) between the lottery's expected wealth and the certainty equivalent?
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