Consider this model in which national income Y depends on the previous periods income and the current

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Consider this model in which national income Y depends on the previous period’s income and the current and previous period’s money supply M:image text in transcribed

where the parameters α, β1, β2, and β3 are positive.

a. If the money supply is held constant, show the conditions under which the model is stable.

b. If the money supply is adjusted in each period to hold income constant, show the conditions under which the model is stable.

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