Euler Equation Consider the following (almost identical) two-period economies (t = 1,2) K₁ a zF(K) B 8 u(c) Economy 1 Economy 2 1 0.3 1 zkº 0.9 0.5 log(c) 1 0.3 1 zKa 0.9 1 log(c) Suppose that at the end of t = 2 the depreciated stock of capital (1-6) 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

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter20: Economic Growth
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1 Euler Equat ion
Consider the following (almost identical) two-period economies (t = 1,2)
Economy 1 Economy 2
K1
0.3
0.3
1.
zF(K)
0.9
0.9
0.5
u(c)
log(c)
log(c)
Suppose that at the end of t = 2 the depreciated stock of capital (1 – 5)K2 is
sold. Which economy experiences higher consumption grow th 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 economies (t = 1,2) Economy 1 Economy 2 K1 0.3 0.3 1. zF(K) 0.9 0.9 0.5 u(c) log(c) log(c) Suppose that at the end of t = 2 the depreciated stock of capital (1 – 5)K2 is sold. Which economy experiences higher consumption grow th 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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