In: Economics
The following macroeconomic equations relate to country in
Europe.
National income identity
Y =...
- The following macroeconomic equations relate to country in
Europe.
National income identity
Y = C + I +
G + X - M
Consumption
C = 120.18 + 0.5Yd
Disposable
income
Yd = Y - T
Tax
function
T = 20 + 0.6Y
Investment
I = 150.30 – 100r
Government
Expenditures
G = 102.50
Exports
X = 108
Imports
M = 50.65 + 0.05Y
Speculative demand for money
Msp = 124.43 – 200r
Transactive demand for money
Mt = 0.38Y
Money Supply
Ms =
300.76
Where Y is national income and r is interest rate.
- Write out the IS equation (goods market equilibrium) in the
form aY+br=M, where a and b are constants.
- Write out the LM equation (money market equilibrium) in the
form dY+gr, where d and g are constants.
- Express the IS and LM equations in the matrix form AX = b, and
hence solve for the equilibrium values of national income (Y) and
interest rates (r) using either the Cramer’s rule or inversion
approach.