Q. Assume the following information about an economy (in million of dollars):

GDP = $1000

C = $800

G = $120 I = $100

X - IM = - $20 T = $80

TR = $10

Where C is private consumption spending, G is public spending, I is investment spending, T

represents taxes and TR represents transfers from government to households. Finally, X - IM

represents net exports.

a. Given the above information, compute the level of private savings (Sp), public savings (Sg) and

net capital inflows (KI). Is the sum of private savings, public savings and net capital inflows equal to

the level of investment? What is the value of national savings (SN)?

b. Now, let's change the problem. First, assume that a net capital inflow is 0. Now, suppose that

Consumption (C) is given by the following equation instead of being a provided value:

C= 380 - 800i.

And, finally suppose that investment is given by the following equation instead of being a provided

value:

I= 2500-200i, where i is the nominal interest rate.

Given this information and these equations, Create an equation for national savings (SN). This

equation will contain two variables: SN and i. You will need to use the identities (the underlying

relationships) that you used in (a). Show your work and any equations or identities that you use.

c. The Savings Curve represents the supply of funds that are available in the loanable funds market

while the Investment Curve represents the demand for funds from the loanable funds market.

Given this information and the national savings equation you found in (b) as well as the investment

equation you were provided in (b) to calculate the equilibrium interest rate and the equilibrium

quantity of loanable funds. That is, find the interest rate and loanable funds that make the supply of

loanable funds (i.e, national savings) equal to the demand for loanable funds (i.e., investment).

Notice in this problem we are explicitly assuming that there are no capital inflows so the only

source of savings is private savings and government savings.

d. Suppose that the government wants to reduce the deficit and in order to do it the government

reduces its expenditures by $100 million. That is, now G=$20. Compute the new equilibrium rate of

interest in the loanable funds market. Note: you will need to compute a new equation for SN based

on this new government behavior. Assume that nothing has happened to the demand for loanable

funds curve you were provided (the investment demand curve in (b)) and that everything else in (b)

continues to be true except for the described change in government expenditures. Note this

problem still assumes that capital inflows are equal to zero. Explain the result you calculate.

e. Suppose that the only thing that changes in the problem you were given in (b) is that taxes

increase by $10 million to a total of $90 million. What happens to the equilibrium interest rate in

the loanable funds market? Illustrate your answer by providing a proof of your results (this will

require you to use the equations for private savings, government savings, and national savings!) as

well as an explanation. Make sure you provide both proof AND explanation.