1 Euler Equation Consider the following (almost identical) two-period economies (t = 1,2) K₁ a 2 zF(K) B 8 u(c) Economy 1 Economy 2 1 0.3 1 zkº 0.9 0.5 log(c) log(c) 1 0.3 1 zKa 0.9 1 Suppose that at the end of t = 2 the depreciated stock of capital (1-8) K₂ is sold. Which economy experiences higher consumption growth between period 1 and period 2? Show why! Hint: Combine Euler Equation with Resource Constraint at t = 1 and t=2 to solve for K2; plug back into euler equation

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.5P
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Euler Equat ion
Consider the following (almost identical) two-period econ omies (t = 1,2)
Есoпoту 1 Ecoпоту 2
K1
1
0.3
0.3
1
1
zF(K)
zKa
0.9
0.9
0.5
1
u(c)
log(c)
log(c)
Suppose that at the end of t = 2 the depreciated stock of capital (1 – 8)K2 is
sold. Which economy experiences higher consumption growth between period 1
and period 2? Show why!
• Hint: Combine Euler Equation with Resource Constraint at t = 1 and
t = 2 to solve for K2; plug back into euler equation
Transcribed Image Text:1 Euler Equat ion Consider the following (almost identical) two-period econ omies (t = 1,2) Есoпoту 1 Ecoпоту 2 K1 1 0.3 0.3 1 1 zF(K) zKa 0.9 0.9 0.5 1 u(c) log(c) log(c) Suppose that at the end of t = 2 the depreciated stock of capital (1 – 8)K2 is sold. Which economy experiences higher consumption growth between period 1 and period 2? Show why! • Hint: Combine Euler Equation with Resource Constraint at t = 1 and t = 2 to solve for K2; plug back into euler equation
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