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
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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F676952f6-5129-42ae-adcb-03c82f20a246%2F95f5f793-0006-48d1-a404-282981164006%2F4723n69_processed.png&w=3840&q=75)
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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