question archive (2 points) Consider the following numerical example of the IS-LM model a

(2 points) Consider the following numerical example of the IS-LM model a

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(2 points) Consider the following numerical example of the IS-LM model

a.

C = 100 + 0.3YD

I = 150 + 0.2Y - 1000i

T = 100

G = 200

Find the equation for equilibrium output (Y), i.e. Y = C+I+G. Remember that YD=Y-T. Then, turn the equation into the relations between Y and i, which is IS relations.

 

b. If real money supply is (M/P)s = 1200, and real money demand is (M/P)d = 2Y - 4000i, solve for equilibrium output Y in terms of i, by setting real money supply equal to real money demand. Assume that this level of i is the interest rate of LM relations set by the central bank.

 

 

c. (extra 1 point) Set IS relations (Y in terms of i) in a, equal to Y in terms of i in b, and find the equilibrium i. Then substitute i in one of the relations to find equilibrium amount of Y, where both IS and LM relations are satisfied.

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