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The following equations describe a particular macroeconomic system: C = 100, XXXXXXXXXX Y I = 85,000 G = 15,000 Assume, to start, that there are no taxes. Find the equilibrium level of aggregate...

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The following equations describe a particular macroeconomic system:
C = 100, XXXXXXXXXXY
I = 85,000
G = 15,000
Assume, to start, that there are no taxes. Find the equilibrium level of aggregate output Y. Check your solution. What is the multiplier in this economy? If the full employment level of aggregate output is 1,010,000, how much would the government have to increase or decrease its spending to bring aggregate demand into line with Yfe?
2. The following equations describe a particular macroeconomic system:
C = 100, XXXXXXXXXXYd
I = 85,000
G = 15,000
T = .06Y
Find the equilibrium level of aggregate output Y; the economy’s tax bill T; the level of disposable income Yd; consumption spending C; and the level of Saving when the economy is in equilibrium. Check your results and illustrate the solution in a diagram.
What is the multiplier in this economy?
If the full employment level of aggregate output is 740,000, how much would the government have to increase or decrease its spending to bring aggregate demand into line with Yfe?
Suppose the tax code were altered to include a tax credit for households at low level of incomes, so that the fourth equation were now:
T = –2, XXXXXXXXXXY
Find the new equilibrium level of aggregate output Y; the economy’s tax bill T; the level of disposable income Yd; consumption spending C; and the level of Saving when the economy is in equilibrium. Check your results.
3. A bond has a coupon payment of $100; interest is paid and compounded annually. It will mature in three years. Its face value is $1,000 and the yield on bonds of similar risk and maturity is 7.5%. What will be the price of this bond? Suppose the market rate of interest rose to 12%; what would happen to the price of the bond?
Answered Same Day Dec 23, 2021

Solution

David answered on Dec 23 2021
132 Votes
Economics 3341
Economics 3341
Gary Mongiovi
Exercise Set 2
Fall 2012
Due Thursday November 15
1.
The following equations describe a particular macroeconomic system:
C = 100,000 + .85Y
I = 85,000
G = 15,000
Assume, to start, that there are no taxes. Find the equili
ium level of aggregate output Y. Check your solution. What is the multiplier in this economy? If the full employment level of aggregate output is 1,010,000, how much would the government have to increase or decrease its spending to
ing aggregate demand into line with Yfe?
Answer:
Consumption function: C = 100,000 + .85Y, implies mpc = 0.85
At equili
ium, Y = C+ I+G i.e.
Y = 100,000 + .85Y + 85,000 + 15000 o
0.15Y = 200000, implies equili
ium level of aggregate output Y* = $1333333
Multiplier = 1/(1-mpc) = 1/(1-0.85) = 6.666667
Given that full employment level of GDP = $1010000 and the cu
ent level of GDP = $1333333, so the difference is $323333.3 i.e. the cu
ent GDP level is exceeding potential level of GDP by $323333.3.
So we would like to reduce the cu
ent GDP by $323333.3 i.e. required change in the GDP = -$323333.3
We know that multiplier = change in GDP/change in government expenditure
Given change in GDP = -$323333.3and multiplier = 6.666667
The required change in government expenditure = -323333.3/6.666667 = -$48499.99 i.e. to achieve the potential level of GDP, the government needs to reduce its spending by $48499.99.
2.
The following equations describe a particular macroeconomic system:
C = 100,000 + .85Yd …………… (1)
I = 85,000
G = 15,000
T = .06Y
Find the equili
ium level of aggregate output Y; the economy’s tax bill T; the level of disposable...
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