Consider three individuals whose futility functions are: U₁= wa (where 0 < a < 1), U₂ = log(w) and U₁ = log (w'). Let the three individuals' measures of absolute risk aversion be R₁, R2 and R3. Which of the following statements is correct? (a) R₁ R₂ R3 (b) R₁ R2 R3 (c) R3 > R₁ > R2 (d) R₁ < R₂ = R3 (e) R₂ > R₁ R3

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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course: advanced microeconomics

Consider three individuals whose futility functions are: U₁ = wª (where 0 < a < 1), U₂ = log(w) and
U₁ = log(w'). Let the three individuals' measures of absolute risk aversion be R₁, R₂ and R3. Which of
the following statements is correct?
(a) R₁ > R₂ > R3
(b) R₁ < R₂ < R3
(c) R3 > R₁ > R₂
(d) R₁ < R₂ = R3
(e) R₂ > R₁ > R3
Transcribed Image Text:Consider three individuals whose futility functions are: U₁ = wª (where 0 < a < 1), U₂ = log(w) and U₁ = log(w'). Let the three individuals' measures of absolute risk aversion be R₁, R₂ and R3. Which of the following statements is correct? (a) R₁ > R₂ > R3 (b) R₁ < R₂ < R3 (c) R3 > R₁ > R₂ (d) R₁ < R₂ = R3 (e) R₂ > R₁ > R3
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