Consider the following IS-LM Model C = 189 + 0.52Yd I = 145 + 0.12Y - 1025i G =
ID: 2506966 • Letter: C
Question
Consider the following IS-LM Model
C = 189 + 0.52Yd
I = 145 + 0.12Y - 1025i
G = 329
T = 263
(M/P)^d = 1.6Y - 7737i
M/P = 1579
The IS equation is determined to be Y=1461.78-2847.22i
The LM equation is determined as i=-0.20408+0.00021Y
Initial equilibrium values of Y,i,c, and I are calculated bellow.
Y=1278
i=6.43%
C=717
I=232
Suppose that money supply increases to (m/p)=1737
Calculate the equation for the new LM relation.
i=?+?y round calculations of the constant slope terms to five decimal places.
Explanation / Answer
LM curve equation is obtained by solving the money market i.e money supply =money demand
in previous case money demand was (M/P)^d = 1.6Y - 7737i and money supply was M/P = 1579 so LM curve was obtained by setting 1579=1.6Y-7737i that is i=-0.20408+0.00021Y
now when money supply changes new LM curve is 1737=1.6Y-7737i
so, i=-0.22451+0.00021Y
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