11) (MC) In the macroeconomic model below, Y is aggregate output, C is aggregate consumption, I is aggregate investment, r is interest rate, Go is government spending, Mo is supply of money, and t is tax rate. The variables Y, I, C, and r are endogenous, Go, Mo, and t are exogenous, and a, b, c, d, k, and m are parameters. Using Cramer's rule, solve for Y* and I*. Which of the following gives the equilibrium values of Y* and I*? a) Y* b) Y* = d) = c) Y* = e) Y* = f) Y* = Y* = 0 g) Y*= m Mo + b(c-a) kd+m[1-b(1-t)] I=c-dr Y=C+I+Go C=a+b(1 t)Y Moky - mr Mo + Go kd + m [1-b(1 – t)] Mo+mGo+c+a kdm [1 + b(1 t)] I* = dMom (Go + c + a) kd + m [1-b(1 t)] mGo - c + a kd-bt aGo - c+mMo kd-bt - I* = -dk (a + Go) kdm [1 + b(1 t)] I* = I* = = = I* = mCka+dGo kd+m[1-b(1 t)] m - dk (a + Go) kd + m [1-b(1 t)] I* = 0 - I* = (mC+dMo) b(1-t) kd-bt mC (mCdMo) b(1 t) - dk (a + Go) kd + m [1-b(1 t)] - - mCb (1 – t) kd-bt

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11) (MC) In the macroeconomic model below, Y is aggregate output, C is aggregate
consumption, I is aggregate investment, r is interest rate, Go is government spending, Mo
is supply of money, and t is tax rate. The variables Y, I, C, and r are endogenous, Go, Mo,
and t are exogenous, and a, b, c, d, k, and m are parameters.
a) Y* =
Using Cramer's rule, solve for Y* and I*. Which of the following gives the equilibrium values
of Y* and I*?
b)
c)
d)
Y* =
f)
Y* =
e) Y* =
Y* =
Y* = 0
Y* =
m Mo + b(ca)
kd + m [1 − b(1 – t)]
Y=C+I+Go
C = a + b(1 t)Y
Mo + Go
kd + m [1 − b(1 – t)]
-
Mo+mGo+c+a
kdm [1+b(1 t)]
I* =
mGo - c + a
kd-bt
dMo + m (Go+c+a)
kd+m[1-b(1 – t)]
-
kdm [1 + b(1
aGo-c+mMo
kd-bt
I* =
I* =
I* =
-dk (a + Go)
t)]
I* =
I= c - dr
MokY mr
mCka+dGo
kd + m [1 b(1 t)]
-
I* = 0
m - dk (a + Go)
kd+m[1-b(1 – t)]
mC (mCdMo) b(1 t) - dk (a + Go)
kd+m[1-b(1 – t)]
-
(mC+dMo) b(1-t)
kd-bt
mCb(1 t)
kd-bt
Transcribed Image Text:11) (MC) In the macroeconomic model below, Y is aggregate output, C is aggregate consumption, I is aggregate investment, r is interest rate, Go is government spending, Mo is supply of money, and t is tax rate. The variables Y, I, C, and r are endogenous, Go, Mo, and t are exogenous, and a, b, c, d, k, and m are parameters. a) Y* = Using Cramer's rule, solve for Y* and I*. Which of the following gives the equilibrium values of Y* and I*? b) c) d) Y* = f) Y* = e) Y* = Y* = Y* = 0 Y* = m Mo + b(ca) kd + m [1 − b(1 – t)] Y=C+I+Go C = a + b(1 t)Y Mo + Go kd + m [1 − b(1 – t)] - Mo+mGo+c+a kdm [1+b(1 t)] I* = mGo - c + a kd-bt dMo + m (Go+c+a) kd+m[1-b(1 – t)] - kdm [1 + b(1 aGo-c+mMo kd-bt I* = I* = I* = -dk (a + Go) t)] I* = I= c - dr MokY mr mCka+dGo kd + m [1 b(1 t)] - I* = 0 m - dk (a + Go) kd+m[1-b(1 – t)] mC (mCdMo) b(1 t) - dk (a + Go) kd+m[1-b(1 – t)] - (mC+dMo) b(1-t) kd-bt mCb(1 t) kd-bt
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