Consider an economy where the demand for goods is given by: Z = a₁ + a₁Y - azi, and the demand for money is given by: Ma = b₁Y - b₂i. The supply of money is given by M*. Assume that prices are fixed, and all firms are identical and willing to supply any demand for goods. The parameters of the model, (ao, ai, a2, b1, b2, M*), are all assumed to be positive. (a) Find the equilibrium level of output for this economy. (b) Suppose the government increases its spending by 1 unit. Which of the model's parameters, (ao, ai, a2, b1, b2, M*), will change and why? (c) In (b), how much does equilibrium output increase? 1 (d) The IS multiplier is given by 1-q₁ and provide an intuitive explanation as to why this is. Show that the multiplier in (c) is less than this

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The IS/LM model.
Consider an economy where the demand for goods is given by:
Z = a₁ + a₁Y - azi,
and the demand for money is given by:
Md = bịY — bại.
The supply of money is given by M*. Assume that prices are fixed, and all firms are identical
and willing to supply any demand for goods. The parameters of the model, (ao, a1, a2, b1, b2,
M*), are all assumed to be positive.
(a) Find the equilibrium level of output for this economy.
(b) Suppose the government increases its spending by 1 unit. Which of the model's
parameters, (ao, ai, a2, b1, b2, M*), will change and why?
(c) In (b), how much does equilibrium output increase?
(d) The IS multiplier is given by
1-q₁
and provide an intuitive explanation
Show that the multiplier in (c) is less than this
as to why this is.
Transcribed Image Text:The IS/LM model. Consider an economy where the demand for goods is given by: Z = a₁ + a₁Y - azi, and the demand for money is given by: Md = bịY — bại. The supply of money is given by M*. Assume that prices are fixed, and all firms are identical and willing to supply any demand for goods. The parameters of the model, (ao, a1, a2, b1, b2, M*), are all assumed to be positive. (a) Find the equilibrium level of output for this economy. (b) Suppose the government increases its spending by 1 unit. Which of the model's parameters, (ao, ai, a2, b1, b2, M*), will change and why? (c) In (b), how much does equilibrium output increase? (d) The IS multiplier is given by 1-q₁ and provide an intuitive explanation Show that the multiplier in (c) is less than this as to why this is.
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