Question #275616

3. Providing a suitable example, explain how Investment Spending (I) depends on interest  rates.

4. Based on the following equation and assumptions, answer the questions: 

For an economy, Y = C + I (here Y stands for national income, C stands for consumer spending, I stands for investment  spending) 

C = 400 + .6Y 

I = Planned Investment + Unplanned investment 

Planned investment is fixed at 500 

Planned expenditure = C + Planned Investment 

No government and closed economy

a. If Y=2500, what will be C and planned expenditure? (10) b. What is the amount of unplanned investment if Y=2500? (10) c. If Y=800, find planned expenditure. (10) 

d. Find the Y for which Y = Planned expenditure.


1
Expert's answer
2021-12-07T12:06:03-0500

(3)

Typically, higher interest rates reduce investment because higher interest rates increase the cost of borrowing and require investment to have a higher rate of return to be profitable.



As shown on the graph above, if interest rates rise from 5% to 7%, then we get a fall in the quantity of investment from 100 to 80.

If interest rates are increased, then it will tend to discourage investment because investment has a higher opportunity cost.


(4)

Y=C+IY=C+I

C=400+0.6YC=400+0.6Y

Planned Investment=500

Planned Expenditure=(400+0.6Y)+500=(400+0.6Y)+500

(a)

If Y=2500Y=2500

C=400+0.6YC=400+0.6Y

C=400+0.6(2500)=1900C=400+0.6(2500)=1900

Planned Expenditure=C+500=C +500

=1900+500=2400=1900+500=2400

(b)

Y=2500Y=2500

C=1900C=1900

Y=C+IY=C+I

2500=1900+I2500=1900+I

I=600I=600

Unplanned Expenditure=I- Planned Investment.

=600500=100=600-500=100

(c)

If Y=800,Y=800,

Planned Expenditure:

=(400+0.6Y)+500=(400+0.6Y)+500

=(400+0.6×800)+500=(400+0.6\times 800)+500

=1380.=1380.

(d)

Y for which Y= Planned Expenditure.

Y=(400+0.6Y)+500Y=(400+0.6Y)+500

400+500=Y0.6Y400+500=Y-0.6Y

900=0.4Y900=0.4Y

Y=2250Y=2250


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