. Consider the Solow growth model where we add government purchases, G. According to the expenditure approach of GDP, Y=C+I+G. Suppose G = gY, where ģ is a number between 0 and 1. Government purchases are financed with taxes, T = G. Agents invest a fraction 5 of their disposable income, Y-T. Formally, I = 5(Y – T). The steady-state capital per worker, k = K/L, solves: sgf(k)= dk d. s(1 − d)ƒ (k) = ģk e. sdf (k)=gk a. b. C. s(1 − ģ)ƒ (k) = dk sf (k)= gk

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Chapter20: Economic Growth In The Global Economy
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3. Consider the Solow growth model with the production function, Y = F(K, L) = Ā× K + B × L where à >
0 and B > 0. Denote k = K/L. Let à denote the depreciation rate and 5 the saving rate. There exists a
positive steady state (with k>0):
a. Always
Never
b.
c. If Ā > B.
d.
If d > šĀ.
e. If d < 5
11. Consider the Solow growth model with aggregate production function F(K, L) = ĀK¹/² L¹/2. Per capita GDP
at the steady state is y=Y/L=
a. (sÃ/d)².
b. (d/sÃ)².
c. d/sÃ.
20. Consider the Solow growth model where we add government purchases, G. According to the expenditure
approach of GDP, Y=C+I+G. Suppose G = gY, where is a number between 0 and 1. Government
purchases are financed with taxes, T = G. Agents invest a fraction 5 of their disposable income, Y-T.
Formally, I = 5(Y – T). The steady-state capital per worker, k = K/L, solves:
sgf (k)= dk
d.
s(1 - d)f(k) = gk
sdf (k) = gk
e.
a.
b.
a.
b.
C.
C.
d.
e.
š(1 − g)ƒ (k) = dk
sf (k) = gk
21. Consider the Solow growth model where we add government purchases, G. According to the expenditure
approach of GDP, Y=C+I+G. Suppose G = gY, where is a number between 0 and 1. Government
purchases are financed with taxes, T = G. Agents invest a fraction 5 of their disposable income, Y-T.
Formally, I = 5(Y – T). A permanent increase in the share of government consumption, ā, leads to:
An increase in steady-state GDP
d. An increase in private consumption but no effect on
GDP
A decrease in steady-state GDP
A decrease in private consumption but no
effect on GDP
SA²/d.
SÃ/d.
e.
A decrease in private consumption and an increase
in the capital stock
Transcribed Image Text:3. Consider the Solow growth model with the production function, Y = F(K, L) = Ā× K + B × L where à > 0 and B > 0. Denote k = K/L. Let à denote the depreciation rate and 5 the saving rate. There exists a positive steady state (with k>0): a. Always Never b. c. If Ā > B. d. If d > šĀ. e. If d < 5 11. Consider the Solow growth model with aggregate production function F(K, L) = ĀK¹/² L¹/2. Per capita GDP at the steady state is y=Y/L= a. (sÃ/d)². b. (d/sÃ)². c. d/sÃ. 20. Consider the Solow growth model where we add government purchases, G. According to the expenditure approach of GDP, Y=C+I+G. Suppose G = gY, where is a number between 0 and 1. Government purchases are financed with taxes, T = G. Agents invest a fraction 5 of their disposable income, Y-T. Formally, I = 5(Y – T). The steady-state capital per worker, k = K/L, solves: sgf (k)= dk d. s(1 - d)f(k) = gk sdf (k) = gk e. a. b. a. b. C. C. d. e. š(1 − g)ƒ (k) = dk sf (k) = gk 21. Consider the Solow growth model where we add government purchases, G. According to the expenditure approach of GDP, Y=C+I+G. Suppose G = gY, where is a number between 0 and 1. Government purchases are financed with taxes, T = G. Agents invest a fraction 5 of their disposable income, Y-T. Formally, I = 5(Y – T). A permanent increase in the share of government consumption, ā, leads to: An increase in steady-state GDP d. An increase in private consumption but no effect on GDP A decrease in steady-state GDP A decrease in private consumption but no effect on GDP SA²/d. SÃ/d. e. A decrease in private consumption and an increase in the capital stock
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