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Consider the following IS-LM model: C=c0+c1(Y-T) I=I' M/P=d1Y-d2i a. Solve for equilibrium output. Illustrate the equilibrium in the ISLM diagram. What is the value of the multiplier? - Now let...

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Consider the following IS-LM model:
C=c0+c1(Y-T)
I=I'
M/P=d1Y-d2i
a. Solve for equilibrium output. Illustrate the equilibrium in the ISLM diagram. What is the value of the multiplier?
- Now let investment depend on both sales and the interest rate: I=b0+b1Y-b2i
b. Solve for the equilibrium output (assume c1+b1c. Derive the multiplier. Is that multiplier smaller or larger than the multiplier you derived in a)
d. Solve for the equilibrium interest rate
f. Under what conditions on the parameters of the model (c0 , c1 and so on) will investment
decrease when G increases?
g. Explain the conditions you derived in part e)
Answered Same Day Dec 20, 2021

Solution

Robert answered on Dec 20 2021
125 Votes
a) Y* = [1/(1-c1)][c0-c1T+I+G]
The multiplier is 1/(1-c1).
) Y* = [1/(1-c1-b1)][c0-c1T+b0-b2i+G]
The multiplier is 1/(1-c1-b1).
Substituting for the interest rate in the answer to part (b),
Y* = [1/(1-c1-b1+b2d1/d2)][c0-c1T+b0+(b2/d2)(M/P)+G].
The multiplier is 1/(1-c1-b1+b2d1/d2).
The multiplier is greater (less) than the multiplier in part (a) if (b1-b2d1/d2) is greater (less) than
zero.
The multiplier as measured in part (c) measures the marginal effect of an increase in
autonomous spending on equili
ium output. As such, the multiplier is the sum of two effects:
a direct effect of output on demand and an indirect effect of output on demand via the interest
ate.
The direct effect is equivalent to the horizontal shift of the IS curve. The indirect effect
depends on the...
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