1. Consider the following long-run model:
Real GDP (Y) = 5,000 Consumption (C) = 200 + 0.7 (Y-T)
Investment (I) = 1,000 -50r where r is the real interest rate.
Taxes (T) are 1,000 and government spending (G) is 1,250
a) What are the equilibrium values of C, I and r? (Answers:
3,000 , 750 , 5)
b) What are the values of private saving, public saving and national
saving? (Answers: 1,000, -250, 750)
c) Redo (a) and (b) given real GDP=5500.
d) Redo (a) and (b) given C=50+0.7 (Y-T).
2. Suppose the government moves to reduce the budget deficit. Using the model in question 1, graphically illustrate the impact of reducing the government's budget deficit by increasing (lump-sum) taxes on household income. State in words what happens to the real interest rate, national saving, investment, consumption and output.
3. Suppose a government education program succeeds in getting households to save more (you may interpret this as a downward shift in the consumption function). Using the model in question 1, graphically illustrate the impact of the higher saving rate by households. State in words what happens to the real interest rate, national saving, investment, consumption and output.
4. Suppose consumption depends negatively on the real
interest rate.
a) What does this imply about the substitution effect (of changes
in interest rates on consumption) relative to the income effect?
What does this suggest in terms of the relationship between private
savings and the real interest rate?
b) Do you think your answers to questions 2 and 3 will
change? Show this graphically using the market for loanable funds
(and keep in mind what kind of relationship there is now between
private savings and the real interest rate).
5. Suppose the government creates a new investment
credit
for firms that does not directly impact government's tax revenue.
a) How will the investment credit affect the investment
curve?
a) Is this credit going to increase the level of
investment? Show (using the market for loanable funds) the
effects on the level of investment for two scenarios: (i) consumption
does not depend on the real interest rate and (ii) consumption depends
negatively on the interest rate.
6. Many economists have advocated a shift from income
taxes towards consumption taxes in order to increase total savings in
the U.S. economy.
a) Suppose the federal government imposes a national sales tax
(a consumption tax). What are your predictions with respect to
the effects on consumption, private savings, public savings, national
savings and investment.
b) Suppose the government reduced income taxes by as much as the
government would collect in sales tax revenue (revenue neutral
proposal). What would happen to investment and the real interest
rate? Show this graphically.