then (a) Write the IS-LM system in matrix form. (b) Solve for Y and i by matrix inversion. Recall the formula for matrix inversion in the 2 x 2 case discussed in class. (c) Solve for Y and i by Cramer's rule.
then (a) Write the IS-LM system in matrix form. (b) Solve for Y and i by matrix inversion. Recall the formula for matrix inversion in the 2 x 2 case discussed in class. (c) Solve for Y and i by Cramer's rule.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![1. [IS-LM Model - II]
Let the IS equation be given as
Y =
then
A
1-b
where 1-b is the marginal propensity to save, g is the investment sensitivity to the
interest rate i, and A is an aggregate of exogenous variables.
Let the LM equation be
Y
9
1-b
T
Mo 1
+-1,
k
where k and I are income and interest sensitivity of money demand, respectively and
Mo is is the real money balances.
If
b = 0.7, g = 100, A = 252, k = 0.25,7 = 200, and Mo = 176,
(a) Write the IS-LM system in matrix form.
(b) Solve for Y and i by matrix inversion. Recall the formula for matrix inversion
in the 2 x 2 case discussed in class.
(c) Solve for Y and i by Cramer's rule.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8462909d-8699-4504-ac58-4d9c630589bf%2F0458f89e-05ca-4e56-9baf-a8b8d0b2a444%2Fig7qc7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. [IS-LM Model - II]
Let the IS equation be given as
Y =
then
A
1-b
where 1-b is the marginal propensity to save, g is the investment sensitivity to the
interest rate i, and A is an aggregate of exogenous variables.
Let the LM equation be
Y
9
1-b
T
Mo 1
+-1,
k
where k and I are income and interest sensitivity of money demand, respectively and
Mo is is the real money balances.
If
b = 0.7, g = 100, A = 252, k = 0.25,7 = 200, and Mo = 176,
(a) Write the IS-LM system in matrix form.
(b) Solve for Y and i by matrix inversion. Recall the formula for matrix inversion
in the 2 x 2 case discussed in class.
(c) Solve for Y and i by Cramer's rule.
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