Problem 3. Consider a world with only two countries, which are designed to home (H) and Foreign (F). Output in each is full employment output (Y*). Home. CH=100+ 0.5YH-500r IH=300-500r GH=155 Y*H=1000 Foreign. CF = 225 +0.7YH-600r IF-250-200r GF=190 Y*F=1200 a) Write out national savings for Home and Foreign as a function of r. b) What is the equilibrium world interest rate? c) What is the equilibrium values of Consumption, National Savings, Investment and Current account for Home? d) What is the equilibrium values of Consumption, National Savings, Investment and Current account for Foreign? e) Now assume that there is an exogenous shock to investment at home due to an increase in TFP. New IH=600-500r. What happens to of Consumption, National Savings, Investment and Current account for Home? f) Under the e conditions what happens to of Consumption, National Savings, Investment and Current account for Foreign?

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Chapter20: Economic Growth
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Problem 3.
Consider a world with only two countries, which are designed to home (H) and Foreign (F).
Output in each is full employment output (Y*).
Home.
CH=100+ 0.5Yн- 500г
IH=300-500r
GH=155
Y*H= 1000
Foreign.
CF = 225 +0.7YH-600г
IF = 250-200r
GF=190
Y*F=1200
a) Write out national savings for Home and Foreign as a function of r.
b) What is the equilibrium world interest rate?
c) What is the equilibrium values of Consumption, National Savings, Investment and Current
account for Home?
d) What is the equilibrium values of Consumption, National Savings, Investment and Current
account for Foreign?
e) Now assume that there is an exogenous shock to investment at home due to an increase in
TFP. New IH=600-500r. What happens to of Consumption, National Savings, Investment
and Current account for Home?
f) Under the e conditions what happens to of Consumption, National Savings, Investment
and Current account for Foreign?
Transcribed Image Text:Problem 3. Consider a world with only two countries, which are designed to home (H) and Foreign (F). Output in each is full employment output (Y*). Home. CH=100+ 0.5Yн- 500г IH=300-500r GH=155 Y*H= 1000 Foreign. CF = 225 +0.7YH-600г IF = 250-200r GF=190 Y*F=1200 a) Write out national savings for Home and Foreign as a function of r. b) What is the equilibrium world interest rate? c) What is the equilibrium values of Consumption, National Savings, Investment and Current account for Home? d) What is the equilibrium values of Consumption, National Savings, Investment and Current account for Foreign? e) Now assume that there is an exogenous shock to investment at home due to an increase in TFP. New IH=600-500r. What happens to of Consumption, National Savings, Investment and Current account for Home? f) Under the e conditions what happens to of Consumption, National Savings, Investment and Current account for Foreign?
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