Question

In: Economics

The following macroeconomic equations relate to country in Europe. National income identity                     Y =...

  1. 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.

  1. Write out the IS equation (goods market equilibrium) in the form aY+br=M, where a and b are constants.
  2. Write out the LM equation (money market equilibrium) in the form dY+gr, where d and g are constants.
  3. 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.

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