Consider an economy described by the following equations:

Y=C+I+G
C=120+0.8×(Y−T)
I=500−50×r G=150
T=125

where Y is GDP, C is consumption, I is investment, G is government purchases, T is taxes, and r is the interest rate. If the economy were at full employment (that is, at the natural rate of output), GDP would be $2,850.

Identify the equation(s) each of the following statements describes.

a. It is a function of disposable income.
b. It depends on the interest rate.

The marginal propensity to consume in this economy is:____________ .

Suppose the central bank's policy is to adjust the money supply to maintain the interest rate at 3%, so r = 3. When the interest rate is 3%, GDP is __________$ .

GDP at an interest rate of 3% is the full-employment level.
a. True
b. False

Assuming no change in monetary policy, (a decrease, an increase) in government purchases by ____ would restore GDP to the full-employment level. (Note: Assume that such change in fiscal policy has no crowding-out effect.) Assuming no change in fiscal policy, (a decrease. an increase) in the interest rate by ___ would restore GDP to the full-employment level.

Respuesta :

Answer:

Consumption c is a function of disposable income

Investment I is a function of interest rate

Marginal propensity to consume equals 0.8

If this 3, I = investment

= 500-(3*50)

= 500-150

= 350

We have Y= C+I+G

Y = 120+0.8(Y-125)+350+150

Y = 120+0.8Y-100+350+150

Y-0.8Y = 120-100+350+150

0.2Y = 520

Y = 520/0.2

Y = 2600

GDP and interest rate falls below full employment

If there is no change in monetary policy an increase in government purchases by 50dollars takes gdp back to full employment

If no change in fiscal policy when interest rate decreases by 1.4% God goes back to full employment.