IS LM model

Consider the following IS-LM model in a closed economy with prices fixed at (we are in the short run):

Md/P = Y - r

C = 1 + Y/2

I = 1 - r/2

G = G

Ms/P = M/P

Md/P ≤ Ms/P with equality if r>0

Assume that expected inflation is zero.

Explain the minimum value that the real interest rate, r, can take. Derive the IS curve. Write down the LM curve.

Sample Solution