2.- Recall the model of an investor whose investment income is taxed at rate t. The investor has §w in cash and chooses an amount æ to invest in a risky project (so 0 0. If the project is "bad" its net return per dollar is $r;, where –1 < r; << 0. The investor's contingent consumption is (Cg, Ca) = (w+ (1 – t) ær,, w + (1 – t)2ærs) %3D where c, is consumption if the project is "good" and , is consumption if the project is “bad". Let p denote the probability that the project is "good". Suppose that the investor (whose name is Avril) is risk loving with utility-of-money function v (c) = c². Let p =t=r, = }, n = - and w = 10. (a) What is Avril's contingent consumption if x = 0? (b) What is Avril's contingent consumption if x = 10? (Express the consumption level in each state as a fraction, not a decimal.)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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2.- Recall the model of an investor whose investment income is taxed at
rate t. The investor has §w in cash and chooses an amount x to invest
in a risky project (so 0 <æ < w). If the project is “good" it generates
a net return of $r, per dollar invested, where r, > 0. If the project
is "bad" its net return per dollar is $r;, where -1 < r, < 0. The
investor's contingent consumption is
(Cg. Cs) = (w+ (1 – t) ær,, w + (1 – t)ærs)
where c, is consumption if the project is “good" and c is consumption
if the project is “bad". Let p denote the probability that the project is
"good".
Suppose that the investor (whose name is Avril) is risk loving with
utility-of-money function v (c) = c². Let p = },t = r, = }, r = -
and w = 10.
(a) What is Avril's contingent consumption if æ = 0?
(b) What is Avril's contingent consumption if æ = 10? (Express the
consumption level in each state as a fraction, not a decimal.)
Transcribed Image Text:please reply as all hand wiriting with calculation thanks- 2.- Recall the model of an investor whose investment income is taxed at rate t. The investor has §w in cash and chooses an amount x to invest in a risky project (so 0 <æ < w). If the project is “good" it generates a net return of $r, per dollar invested, where r, > 0. If the project is "bad" its net return per dollar is $r;, where -1 < r, < 0. The investor's contingent consumption is (Cg. Cs) = (w+ (1 – t) ær,, w + (1 – t)ærs) where c, is consumption if the project is “good" and c is consumption if the project is “bad". Let p denote the probability that the project is "good". Suppose that the investor (whose name is Avril) is risk loving with utility-of-money function v (c) = c². Let p = },t = r, = }, r = - and w = 10. (a) What is Avril's contingent consumption if æ = 0? (b) What is Avril's contingent consumption if æ = 10? (Express the consumption level in each state as a fraction, not a decimal.)
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