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1. Assume the following values of an economy.

Planned Investment (Ip)= $20

Autonomous Consumption (C )= $30

Marginal Propensity to consume (MPC)= .9

a. What is the equilibrium income?

b. What is the value of saving at equilibrium?

c. Does the saving and Investment Identity hold true at equilibrium income OR GDP?

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Paramjeet Chawla
Paramjeet ChawlaLv8
28 Sep 2019

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Related questions

Assume the following values of an economy.

Planned Investment (Ip) = $20

Autonomous Consumption (C ) = $30

Marginal Propensity to consume (MPC) = .9

What is the equilibrium income?

Y* = aggregate demand at the equilibrium level. (Consumption + investment)

Consumption function = autonomous consumption + mpc * Y.

C=30 + .9Y

AD = 30 + .9Y + 20 = 50 + .9Y

Y= 50 + .9Y.1Y = 50

Y = $500 is the equilibrium level of income.

What is the value of saving at equilibrium?

Savings = income - consumption at the equilibrium level of Y=500,

Consumption = 30 +.9 * 500 = $480

Savings = 500 - 480= 20

c. Does the saving and Investment Identity hold true at equilibrium income OR GDP?

Since planned investment = $20 which is equal to savings calculated, the saving investment identity holds true at equilibrium income.

2. In addition to the values given in question (1) above, assume the government increases its spending by $30 without raising taxes. The government can do this by borrowing from the private sector.

a. Based on this information calculate the new level of equilibrium income.

If Government expenditures = $30, Y = C + I + G

Y = 1/1-.09 * (30+20+30) Y = 800

b. Calculate the total value of consumption at equilibrium.

C = 30 + .9(800) = 750

c. Calculate the total value of saving at equilibrium.

Savings = I - C = 800 - 750 = 50

3. In addition to questions in (1 & 2) above, assume the government decides to raise autonomous taxes by $30 to balance its budget.

What is the new value of equilibrium income?

Y = 1/1-.9 (30-.9(30) +20+30) = 530

What is the value of the autonomous tax multiplier?

-.09/.01 = -9

c. What is the value of autonomous spending multiplier?

1/.1 = 10

Assume the following values of an economy.

Planned Investment (Ip) = $20

Autonomous Consumption (C ) = $30

Marginal Propensity to consume (MPC) = .9

a. What is the equilibrium income?

b. What is the value of saving at equilibrium?

c. Does the saving and Investment Identity hold true at equilibrium income OR GDP?

2. In addition to the values given in question (1) above, assume the government increases its spending by $30 without raising taxes. The government can do this by borrowing from the private sector.

a. Based on this information calculate the new level of equilibrium income.

b. Calculate the total value of consumption at equilibrium.

c. Calculate the total value of saving at equilibrium.

3. In addition to questions in (1 & 2) above, assume the government decides to raise autonomous taxes by $30 to balance its budget.

a. What is the new value of equilibrium income?

b. What is the value of the autonomous tax multiplier?

c. What is the value of autonomous spending multiplier?

4. In addition to the value in questions (1, 2 & 3), assume the following values.

Autonomous export (Xa) = $30

Autonomous import (Ma) = $10

Marginal propensity to import = 0.1

a. What is the new value of equilibrium income?

b. What is the value of total consumption of domestically produced good at equilibrium?

c. What is the value of the trade surplus or deficit at equilibrium?

d. What is the value of the marginal propensity to consume domestically produced goods?

e. What is the value of capital inflow or outflow

Consider an economy in which all taxes are autonomous and the following values of autonomous consumption, planned investment, goverment expenditure, autonomous taxes, and the marginal propensity to consume are given: Ca= 1,400 Ip= 1,800 G= 1,950 Ta= 1,750 c= 0.6

a) What is the level of consumption when the level of income(Y) equals $10,000

b) What is the level of saving when the level of income(Y) equals $10,000

c) What is the level of planned investment when the level of income (Y) equals $10,000? What is the level of actual investment? What is the level of unintended inventory investment?

d) Show the injections equal leakings when income (Y) equals $10,000

e) Is the economy in equilibrium when income (Y)= $10,000? If not, what is the equilibrium level of income for the economy described in this question?

f) Is there a surplus or deficit in the goverment budget at the equilibrium level of income? How much?

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