= Questions 1.6 and 1.7 refer to a consumer with preferences over lotteries represented by the Bernoulli utility function u(x) √4x, who receives two job offers, X and Y, that pay wages that depend on whether the economy enters a boom (A), maintains its actual growth (B) or enters a recession (C). Specifically, X pays (A, B, C) (64, 16,0) and Y pays (YA, YB, Yc) = (36, 16, 16). The probabilities of scenarios A, B and С are pà = 1/4, PB = 1/2 and pc = 1/4, respectively. 1.6. Identify the expected utilities of X and Y for this individual. Eu(X) = 9, Eu(Y) = 10 □ Eu(X) = 8, Eu(Y) = 9 □ Eu(X) = 9, Eu(Y) = 8 □ Eu(X) = 8, Eu(Y) = 10. 1.7. Identify the certainty equivalents of X and Y for this individual. □CE(X) = 25, CE(Y) = 16 CE(X) = 16, CE(Y) = 20.25 CE(X) = 25, CE(Y) = 20.25 CE(X) = 16, CE(Y) = 25.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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=
Questions 1.6 and 1.7 refer to a consumer with preferences over lotteries represented by the Bernoulli
utility function u(x) √4x, who receives two job offers, X and Y, that pay wages that depend
on whether the economy enters a boom (A), maintains its actual growth (B) or enters a recession
(C). Specifically, X pays (A, B, x℃) = (64, 16,0) and Y pays (YA, YB, YC) = (36, 16, 16). The
probabilities of scenarios A, B and C are pA =
1/4, PB
1/2 and pc = 1/4, respectively.
=
1.6. Identify the expected utilities of X and Y for this individual.
□Eu(X) = 9, Eu(Y) = 8
□Eu(X) = 9, Eu(Y) = 10
Eu(X) = 8, Eu(Y) = 9
□Eu(X) = 8, Eu(Y) = 10.
1.7. Identify the certainty equivalents of X and Y for this individual.
□CE(X) = 25, CE(Y) = 16
□ CE(X) = 25, CE(Y) = 20.25
CE(X) = 16, CE(Y) = 25.
□ CE(X) = 16, CE(Y) =
=
20.25
20.25
Transcribed Image Text:= Questions 1.6 and 1.7 refer to a consumer with preferences over lotteries represented by the Bernoulli utility function u(x) √4x, who receives two job offers, X and Y, that pay wages that depend on whether the economy enters a boom (A), maintains its actual growth (B) or enters a recession (C). Specifically, X pays (A, B, x℃) = (64, 16,0) and Y pays (YA, YB, YC) = (36, 16, 16). The probabilities of scenarios A, B and C are pA = 1/4, PB 1/2 and pc = 1/4, respectively. = 1.6. Identify the expected utilities of X and Y for this individual. □Eu(X) = 9, Eu(Y) = 8 □Eu(X) = 9, Eu(Y) = 10 Eu(X) = 8, Eu(Y) = 9 □Eu(X) = 8, Eu(Y) = 10. 1.7. Identify the certainty equivalents of X and Y for this individual. □CE(X) = 25, CE(Y) = 16 □ CE(X) = 25, CE(Y) = 20.25 CE(X) = 16, CE(Y) = 25. □ CE(X) = 16, CE(Y) = = 20.25 20.25
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