Question 4: Stability of the IS-LM model Consider the following short-run dynamics in the closed-economy IS-LM model. It is assumed that the price level is fixed and (for convenience) has been normalized to unity (P = 1): R = $₁ [1(Y, R) – M], $1 > 0, Ý = $₂ [C(Y — T) + I(R) + G_Y], $₂ > 0₁ where Y is output, R is the interest rate, M is the money stock, C is consumption, T is taxes, I is investment, and G is government consumption. As usual, a dot above a variables denotes that variable's time rate of change, i.e. R= dR/dt and Y = dy/dt. (a) Interpret these equations. (b) Can you say something about the relative speeds of adjustment in the goods and financial markets?

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Question 4: Stability of the IS-LM model
Consider the following short-run dynamics in the closed-economy IS-LM model. It
is assumed that the price level is fixed and (for convenience) has been normalized to
unity (P = 1):
Ř = ¢r [(Y, R) – M],
Ý = 2 C(Y – T) + I(R) + G – Y, 2 >0,
P1 > 0,
where Y is output, R is the interest rate, M is the money stock, C is consumption, T
is taxes, I is investment, and G is government consumption. As usual, a dot above a
variables denotes that variable's time rate of change, i.e. Ř = dR/dt and Ý = dY/dt.
(a) Interpret these equations.
(b) Can you say something about the relative speeds of adjustment in the goods
and financial markets?
Transcribed Image Text:Question 4: Stability of the IS-LM model Consider the following short-run dynamics in the closed-economy IS-LM model. It is assumed that the price level is fixed and (for convenience) has been normalized to unity (P = 1): Ř = ¢r [(Y, R) – M], Ý = 2 C(Y – T) + I(R) + G – Y, 2 >0, P1 > 0, where Y is output, R is the interest rate, M is the money stock, C is consumption, T is taxes, I is investment, and G is government consumption. As usual, a dot above a variables denotes that variable's time rate of change, i.e. Ř = dR/dt and Ý = dY/dt. (a) Interpret these equations. (b) Can you say something about the relative speeds of adjustment in the goods and financial markets?
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