(Income Identity) Y = C+I+G+ NX Y = 6,000 G = 1,200 T = 1,000 C = 250+0.75(Y –T) 1 = 1,000 – 100r NX = 400 – 400ɛ r= p* =5 (Income) (Government expenditure) (Тах) (Consumption expenditure function) (Investment function) (Net exports function) (Interest rate) (a) Solve for (i) The National saving (ii) The trade balance (iii) The equilibrium exchange rate. (iv) Based on your answer in (iii) would you describe Ghana as a net borrower or a net lender and why?
(Income Identity) Y = C+I+G+ NX Y = 6,000 G = 1,200 T = 1,000 C = 250+0.75(Y –T) 1 = 1,000 – 100r NX = 400 – 400ɛ r= p* =5 (Income) (Government expenditure) (Тах) (Consumption expenditure function) (Investment function) (Net exports function) (Interest rate) (a) Solve for (i) The National saving (ii) The trade balance (iii) The equilibrium exchange rate. (iv) Based on your answer in (iii) would you describe Ghana as a net borrower or a net lender and why?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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NB: Solve Question A (ii), (iii), and (iv)
![### Economic Analysis: A Case Study of Ghana
**Given:**
**Income Identity:**
\[ Y = C + I + G + NX \]
- \( Y = 6,000 \) (Income)
- \( G = 1,200 \) (Government expenditure)
- \( T = 1,000 \) (Tax)
- \( C = 250 + 0.75(Y - T) \) (Consumption expenditure function)
- \( I = 1,000 - 100r \) (Investment function)
- \( NX = 400 - 400e \) (Net exports function)
- \( r = r^* = 5 \) (Interest rate)
#### (a) Solve for:
**(i) The National Savings**
\( S = Y - C - G \)
To find \( C \), substitute the values:
\[ C = 250 + 0.75(Y - T) \]
\[ C = 250 + 0.75(6,000 - 1,000) \]
\[ C = 250 + 0.75(5,000) \]
\[ C = 250 + 3,750 \]
\[ C = 4,000 \]
Now, compute the National Savings \( S \):
\[ S = Y - C - G \]
\[ S = 6,000 - 4,000 - 1,200 \]
\[ S = 800 \]
**(ii) The Trade Balance**
\[ NX = 400 - 400e \]
Given \( e \) is not defined numerically, the trade balance in terms of \( e \) is:
\[ NX = 400 - 400e \]
**(iii) The Equilibrium Exchange Rate**
In equilibrium, savings equals investment plus net exports:
\[ S = I + NX \]
Given \( S = 800 \):
\[ 800 = (1,000 - 100r) + (400 - 400e) \]
Plug in \( r = 5 \):
\[ 800 = (1,000 - 500) + (400 - 400e) \]
\[ 800 = 500 + 400 - 400e \]
\[ 800 = 900 - 400e \]
\[ 400e = 100 \]
\[ e = 0.25 \]
**(iv) Based on your answer in (iii](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65e73232-57a7-48a2-9fe1-7eeb67aea2e1%2Fd5c4acb3-3c7f-4020-a408-a872f213c3a5%2Fzqdf9h.png&w=3840&q=75)
Transcribed Image Text:### Economic Analysis: A Case Study of Ghana
**Given:**
**Income Identity:**
\[ Y = C + I + G + NX \]
- \( Y = 6,000 \) (Income)
- \( G = 1,200 \) (Government expenditure)
- \( T = 1,000 \) (Tax)
- \( C = 250 + 0.75(Y - T) \) (Consumption expenditure function)
- \( I = 1,000 - 100r \) (Investment function)
- \( NX = 400 - 400e \) (Net exports function)
- \( r = r^* = 5 \) (Interest rate)
#### (a) Solve for:
**(i) The National Savings**
\( S = Y - C - G \)
To find \( C \), substitute the values:
\[ C = 250 + 0.75(Y - T) \]
\[ C = 250 + 0.75(6,000 - 1,000) \]
\[ C = 250 + 0.75(5,000) \]
\[ C = 250 + 3,750 \]
\[ C = 4,000 \]
Now, compute the National Savings \( S \):
\[ S = Y - C - G \]
\[ S = 6,000 - 4,000 - 1,200 \]
\[ S = 800 \]
**(ii) The Trade Balance**
\[ NX = 400 - 400e \]
Given \( e \) is not defined numerically, the trade balance in terms of \( e \) is:
\[ NX = 400 - 400e \]
**(iii) The Equilibrium Exchange Rate**
In equilibrium, savings equals investment plus net exports:
\[ S = I + NX \]
Given \( S = 800 \):
\[ 800 = (1,000 - 100r) + (400 - 400e) \]
Plug in \( r = 5 \):
\[ 800 = (1,000 - 500) + (400 - 400e) \]
\[ 800 = 500 + 400 - 400e \]
\[ 800 = 900 - 400e \]
\[ 400e = 100 \]
\[ e = 0.25 \]
**(iv) Based on your answer in (iii
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