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Consider the following numerical version of the IS-LM model in a closed economy: C=400+0.5Yd; I=700-4000r+0.1Y; G=200; TP=200; Yd=Y-TP RLMD=0.5Y-7500r; RLMS =500; X=M Find the equations for the IS...

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Consider the following numerical version of the IS-LM model in a closed economy:
C=400+0.5Yd; I=700-4000r+0.1Y; G=200; TP=200; Yd=Y-TP
RLMD=0.5Y-7500r; RLMS =500; X=M
Find the equations for the IS curve and LM curve
Solve for equilibrium real output (Y), interest rate (r), consumption (C), and Investment (I)
If government spending increased to 700, solve again for the equilibrium Y, r, C, and I.
Suppose that the unemployment benefits are increased permanently, please answer the following questions (Hint: using the AD-AS model to analyze the impacts):
A) What will happen to Y (GDP), r (real interest rate), P(price level), and I(investment), in the short run ? The answer should indicate will these values increase or decrease in the short run.
B) What will happen to Y, r, P, and I, in the long run? The answer should indicate will these values increase or decrease in the long run.
In the flexible exchange rate system, discuss the effects of the following events on the exchange rate between U.S. dollar and Japanese Yen: Please indicate whether US$ will appreciate or depreciate.
A) Other things being equal, the trade deficit between U.S. and Japan increased, or the U.S. imports from Japan increased faster than U.S. exports to Japan.
B) Other things being equal, the U.S. real interest rate increased faster than Japanese real interest rate.
Assuming an economy can be represented by the following simplified model (all values are measured in $billion):
C=200+0.5Yd, I=100, G=150, TP=100, X=M, Yd=Y-TP
Please discuss the impacts of a $20 billion tax (TP decrease by 20) cut on equilibrium Y (GDP) and C (personal consumption).
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Consider the following numerical version of the IS-LM model in a closed economy: C=400+0.5Yd; I=700-4000r+0.1Y; G=200; TP=200; Yd=Y-TP RLMD=0.5Y-7500r; RLMS =500; X=M Find the equations for the IS curve and LM curve Solve for equilibrium real output (Y), interest rate (r), consumption (C), and Investment (I) If government spending increased to 700, solve again for the equilibrium Y, r, C, and I. Suppose that the unemployment benefits are increased permanently, please answer the following questions (Hint: using the AD-AS model to analyze the impacts): What will happen to Y (GDP), r (real interest rate), P(price level), and I(investment), in the short run ? The answer should indicate will these values increase or decrease in the short run. What will happen to Y, r, P, and I, in the long run? The answer should indicate will these values increase or decrease in the long run. In the flexible exchange rate system, discuss the effects of the following events on the exchange rate between U.S. dollar and Japanese Yen: Please indicate whether US$ will appreciate or depreciate. Other things being equal, the trade deficit between U.S. and Japan increased, or the U.S. imports from Japan increased faster than U.S. exports to Japan. Other things being equal, the U.S. real interest rate increased faster than Japanese real interest rate. Assuming an economy can be represented by the following simplified model (all values are measured in $billion): C=200+0.5Yd, I=100, G=150, TP=100, X=M, Yd=Y-TP Please discuss the impacts of a $20 billion tax (TP decrease by 20) cut on equilibrium Y (GDP) and C (personal consumption).

Answered Same Day Dec 21, 2021

Solution

Robert answered on Dec 21 2021
129 Votes
Consider the following numerical version of the IS-LM model in a closed economy:
C=400+0.5Yd; I=700-4000r+0.1Y; G=200; TP=200; Yd=Y-TP
RLMD=0.5Y-7500r; RLMS =500; X=M
Find the equations for the IS curve and LM curve
Answer:
IS equation: Y = C+I+G+X-M i.e.
Y = 400+0.5(Y-200) + 700-4000r+0.1Y + 200 or
0.4Y = 1200-4000r or
Y = 3000-10000r ………………….. IS equation (1)
For LM equation: RLMD= RLMS i.e.
0.5Y-7500r = 500 or
0.5Y = 500+7500r or
Y = 1000 + 15000r …………………………. LM equation (2)
Solve for equili
ium real output (Y), interest rate (r), consumption (C), and
Investment (I)
Answer:
Using (1) and (2), we get
1000 + 15000r = 3000-10000r, implies equili
ium interest rate is given as:
* = 0.08
And equili
ium real output (Y) = 1000+15000*0.08 = $2200
Consumption (C) = 400+0.5Yd = 400+0.5*(2200-200) = $1400
Investment (I) = 700-4000*0.08+0.1*2200 = $600
If government spending increased to 700, solve again for the equili
ium Y, r, C, and I.
Answer:
With G = $700, the new IS equation is calculated as:
IS equation: Y = C+I+G+X-M i.e.
Y = 400+0.5(Y-200) + 700-4000r+0.1Y + 700 or
0.4Y = 1700-4000r or
Y = 4250-10000r ………………….. new IS equation (3)
Equating IS equation (3) with LM equation (2) as;
1000 + 15000r = 4250-10000r, implies equili
ium interest rate is given as:
* = 0.13
And equili
ium real output (Y) = 1000+15000*0.13 = $2950
Consumption (C) = 400+0.5Yd = 400+0.5*(2950-200) = $1775
Investment (I) = 700-4000*0.13+0.1*2950 = $475
Suppose that the unemployment benefits are increased permanently, please answer the following
questions (Hint: using the AD-AS model to analyze the impacts):
A) What will happen to Y (GDP), r (real interest rate), P(price level), and I(investment), in the
short run ? The answer...
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