In: Economics
1. Consider an economy described by the following equations: Y=C+I+G, Y=K1/3 L2/3
K= 1000 and
L= 1000 and
G= 300
T= 200
C= 250 + 0.5(Y-T)-50r,
I= 300-50r.
a) With investment I on the x-axis and r on the y-axis, plot the investment function
b) Solve for private savings and national savings as a function of r. Does national savings increase as r increases? Explain.
c)Solve for consumption, private saving, investment and interest rate in the equilibrium.
d) Now suppose G increase to 350 while taxes remain unchanged. Solve for private saving,
public saving and interest rate in the equilibrium. Is there evidence of crowding out?
Explain.
e)Now suppose G= 300 and taxes, T, increase to 300. Does equilibrium interest rate and investment increase or decrease? If more investment is good for long- run growth in the economy, should taxes be increased or decreased? Explain.