In equilibrium U′(Yt)qe t = δEt[U′(Yt+1)(qe t+1 + ˜ Yt+1)] holds. Assume the following: . Infinite periods . δ = .97 . The agent follows ln utility . There are 2 futures states where (Y 1, Y 2) = (2, .50) which evolve based on transition matrix T. . The transition matrix T is: T = .60 .40 .40 .60 . (hint: Answering this question involves solving the system of equations: U′(Yt)qe t = δEt[U′( ˜ Yt+1)(˜qt+1 + ˜ Yt+1)] U′(Yt)qe t = δEt[U′( ˜ Yt+1)( ˜ Yt+1)] + δEt[U′( ˜ Yt+1)(˜qt+1)] (1) Answer the following: (a) What are the 2 equilibrium conditions?
In equilibrium U′(Yt)qe t = δEt[U′(Yt+1)(qe t+1 + ˜ Yt+1)] holds. Assume the following: . Infinite periods . δ = .97 . The agent follows ln utility . There are 2 futures states where (Y 1, Y 2) = (2, .50) which evolve based on transition matrix T. . The transition matrix T is: T = .60 .40 .40 .60 . (hint: Answering this question involves solving the system of equations: U′(Yt)qe t = δEt[U′( ˜ Yt+1)(˜qt+1 + ˜ Yt+1)] U′(Yt)qe t = δEt[U′( ˜ Yt+1)( ˜ Yt+1)] + δEt[U′( ˜ Yt+1)(˜qt+1)] (1) Answer the following: (a) What are the 2 equilibrium conditions?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
In equilibrium
U′(Yt)qe
t = δEt[U′(Yt+1)(qe
t+1 + ˜ Yt+1)]
holds. Assume the following:
. Infinite periods
. δ = .97
. The agent follows ln utility
. There are 2 futures states where (Y 1, Y 2) = (2, .50) which evolve based on transition
matrix T.
. The transition matrix T is:
T =
.60 .40
.40 .60
. (hint: Answering this question involves solving the system of equations:
U′(Yt)qe
t = δEt[U′( ˜ Yt+1)(˜qt+1 + ˜ Yt+1)]
U′(Yt)qe
t = δEt[U′( ˜ Yt+1)( ˜ Yt+1)] + δEt[U′( ˜ Yt+1)(˜qt+1)] (1)
Answer the following:
(a) What are the 2 equilibrium conditions?
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