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

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Chapter1: Making Economics Decisions
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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

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