A Keynesian economy is described by the following equations. Consumption                       Cd = 250 + 0.5(Y - T) - 250r Investment                           Id = 250 - 250r Government purchases       G = 300 Government taxes               T = 300 Real money demand            L = 0.5Y - 500r + πe Money supply                        M = 3000 Full-employment output   Y = 1250 Expected inflation             πe = 0 (HINT a: The expected rate of inflation is assumed to equal zero so that money demand depends directly on the real interest rate, which equals the nominal interest rate. Domestic Savings,  Sd =Y - C - G. In equilibrium set domestic savings equal to domestic investment, so Sd = Id) Calculate the values of the real interest rate (r), consumption (Cd), and investment (Id) for the economy in general equilibrium.

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A Keynesian economy is described by the following equations.

  • Consumption                       Cd = 250 + 0.5(Y - T) - 250r
  • Investment                           Id = 250 - 250r
  • Government purchases       G = 300
  • Government taxes               T = 300
  • Real money demand            L = 0.5- 500+ πe
  • Money supply                        M = 3000
  • Full-employment output   Y = 1250
  • Expected inflation             πe = 0

(HINT a: The expected rate of inflation is assumed to equal zero so that money demand depends directly on the real interest rate, which equals the nominal interest rate. Domestic Savings,  Sd =Y - C - G. In equilibrium set domestic savings equal to domestic investment, so Sd = Id)

  • Calculate the values of the real interest rate (r), consumption (Cd), and investment (Id) for the economy in general equilibrium.
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