Consider the two-period model. The consumerís preferences over current and future consumption (c and c 0 ) are: REFER TO IMAGE FOR NEXT STEP (a) Find lifetime wealth, we. (b) Set up the Lagrangian and FINDd the optimal levels of current consumption (c), future consumption (c') and saving (y-t-c) c) Confirm that the allocation you found in part (b) is in fact optimal, by completing the following table. refer to second image
Consider the two-period model. The consumerís preferences over current and future consumption (c and c 0 ) are: REFER TO IMAGE FOR NEXT STEP (a) Find lifetime wealth, we. (b) Set up the Lagrangian and FINDd the optimal levels of current consumption (c), future consumption (c') and saving (y-t-c) c) Confirm that the allocation you found in part (b) is in fact optimal, by completing the following table. refer to second image
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Consider the two-period model. The consumerís preferences over current and future consumption (c and c 0 ) are:
REFER TO IMAGE FOR NEXT STEP
(a) Find lifetime wealth, we.
(b) Set up the Lagrangian and FINDd the optimal levels of current consumption (c), future consumption (c') and saving (y-t-c)
c) Confirm that the allocation you found in part (b) is in fact optimal, by completing the following table.
refer to second image

Transcribed Image Text:с
105
114
115
116
125
c
=
U (c₂,c²):
In (c) + In (c)

Transcribed Image Text:subject to
U (e,c) - In (c) + In (c)
=
y - t'
1+r
c+
=y-t+
1 + r
The consumer's budget parameters are given by
y = 150,
r = 0.2,
where y and y' are current and future income, t and t' are current and future lump-sum
taxes, a is housing wealth in the first period and r is the real interest rate.
=we.
t=20, y = 144, t = 24,
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