Economics Today The Macro View Ch. 12 Consumption, Real GDP, and the Multiplier – Flashcards
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Real Disposable Income
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Real GDP minus net taxes, or after-tax income.
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Consumption
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Spending on new goods and services to be used up out of a household's current income. Whatever is not consumed is saved. Consumption includes such things as buying food and going to a concert.
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Saving
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The act of not consuming all of one's current income. Whatever is not consumed out of spendable income is, by definition saved. Saving is an action measured over time - a flow, whereas savings are a stock, an accumulation resulting from the act of saving in the past.
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Consumption Goods
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Goods bought by households to use up, such as food and movies.
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Investment
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Spending on items such as machines and buildings, which can be used to produce goods and services in the future. It also includes changes in business inventories. The investment part of GDP is the portion that will be used in the process of producing goods in the future.
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Capital Goods
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Producer durables, non-consumable goods that firms use to make other goods.
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Life-Cycle Theory of Consumption
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A theory in which a person bases decision about current consumption and saving on both current income and anticipated future income.
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Permanent Income Hypothesis
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A theory of consumption in which an individual determines current consumption based on anticipated average lifetime income.
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Consumption Function
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The relationship between amount consumed and disposable income. A consumption function tells us how much people plan to consume at various levels of disposable income.
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Dissaving
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Negative saving; a situation in which spending exceeds income. Dissaving can occur when a household is able to borrow or use up existing assets.
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45-Degree Reference Line
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The line along which planned expenditures equal real GDP for the year.
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Autonomous Consumption
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The part of consumption that is independent of or does not depend on the level of disposable income. Changes in autonomous consumption shift the consumption function.
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Average Propensity to Consume - APC
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Real consumption divided by real disposable income. For any given level of real income, the proportion of total real disposable income that is consumed.
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Average Propensity to Save - APS
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Real saving divided by real disposable income. For any given level or real income, the proportion of total real disposable income that is saved.
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Marginal Propensity to Consume - MPC
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The ratio of the change in consumption to the change in disposable income. A marginal propensity to consume of 0.8 tells us that an additional $100 in take-home pay will lead to an additional $80 consumed.
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MPC formula
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change in real consumption
MPC = --------------------------------------
change in real disposable income
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Marginal Propensity to Save - MPS
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The ratio of the change in saving to the change in disposable income. A marginal propensity to save of 0.2 indicates that out of an additional $100 in take-home pay, $20 will be saved. Whatever is not saved is consumed. The marginal propensity to save plus the marginal propensity to consume must always equal 1 by definition.
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MPS formula
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change in real saving
MPS = ---------------------------------------
change in real disposable income
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Net Wealth
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The stock of assets owned by a person, household, firm or nation - net of any debts owed. For a household, net wealth can consist of a house, cars, personal belongings, stocks, bonds, bank accounts and cash, minus any debts owed.
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Lump-Sum Tax
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A tax that does not depend on income. An example is a $1,000 tax that every household must pay, irrespective of its economic status.
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Multiplier
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The ratio of the change in the equilibrium level of real GDP to the change in autonomous real expenditures. The number by which a change in autonomous real investment or autonomous real consumption, for example, is multiplied to the change in equilibrium real GDP.
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Current disposable income held to buy consumption goods in the future is referred to as
A. autonomous consumption.
B. savings.
C. saving.
D. future consumption.
Consumption is a flow or stock variable.
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C. saving.
flow
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In a simple economy (assume there are no taxes, thus Y is disposable income), the consumption function is
C = 1000 + 0.75Y.
Thus, autonomous consumption is ___ and the marginal propensity to consume is ___. A consumer whose income increases by $100 will increase consumption by $___.
The saving function in this economy is:
S= ___ + ___Y.
answer
1000
0.75
$75
-1000+0.25Y
--------------------------------------------------
consumption plus saving equals disposable income:
Y=C+S
Y=1000+0.75Y+S
S=-1000+(1-0.75)Y
S=-1000+0.25Y.
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In a simple economy (assume there are no taxes, thus Y is disposable income), the consumption function is
C = 250 + 0.8Y.
Thus, autonomous consumption is ___ and the marginal propensity to consume is ___. A consumer whose income increases by $100 will increase consumption by $___.
The saving function in this economy is:
S = ___ + ___Y.
answer
250
0.8
$80
S=-250 + 0.20Y.
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1) Saving is the portion of
A. disposable income that is not consumed.
B. stock of consumption.
C. investment that is spent on machinery.
D. disposable income that is consumed.
2) Which of the following statements best reflects the relationship between saving and savings?
A. Saving is a flow variable; savings is a stock variable.
B. Saving is the total amount not consumed whereas savings refers to the amount placed into a savings account.
C. Saving and savings are both stock variables.
D. Saving and savings are both flow variables.
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1) A. disposable income that is not consumed.
2) A. Saving is a flow variable; savings is a stock variable.
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1) When government spending and net exports are added into the Keynesian model
A. there is only a movement along the aggregate expenditure curve.
B. the 45-degree curve shifts upward.
C. the slope of the aggregate expenditure function rises.
D. the aggregate expenditures function shifts.
Your answer is correct.
2) Which of the following statements is true concerning the foreign sector in the simple Keynesian model?
A. Exports are not included as expenditures since they are goods that the home nation ships overseas.
B. Net exports are autonomous.
C. Imports are not used in the model since they represent the spending on foreign goods by the home country's citizens and firms.
D. Exports and imports depend on foreign and domestic incomes.
answer
1) D. the aggregate expenditures function shifts.
2) B. Net exports are autonomous.
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1) The saving function of an economy is shown.
Dissaving occurs
A. at income levels less than $30 billion.
Your answer is correct.
B. at an income level of $30 billion.
C. at income levels above $30 billion.
D. when the MPC > MPS.
2) When disposable income increases from $0 to $30 billion
A. consumption also increases by $30 billion.
B. saving increases by $0.10 for each additional dollar of disposable income.
C. saving grows at a faster pace than consumption.
D. savings equals zero.
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1) A. at income levels less than $30 billion.
2) B. saving increases by $0.10 for each additional dollar of disposable income.
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Fred's Fish House
is contemplating an investment of $50,000 in new shrimp boats and deep fryers.
Management of this company predict a 6.3 percent annual return on this investment.
The current market rate of interest is 5.6 percent. Fred's Fish House will
A. not make the investment since the cost is greater than the expected return.
B. not make the investment since the cost is less than the expected return.
C. make the investment since the cost is less than the expected return.
D. make the investment since the cost is greater than
the expected return.
At which of the market rates of interest below would Fred's Fish House be inclined to make the investment
A. 3.5%.
B. 3%.
C. 2%.
D. at any of these interest rates listed.
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1) C. make the investment since the cost is less than the expected return.
2) D. at any of these interest rates listed.
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Given that the MPS in an economy is equal to 0.20, the multiplier is equal to___. (Round your answer to two decimal places)
Now assume that autonomous real consumption spending is $1 trillion. There is no other autonomous spending presently taking place in the economy. The current real GDP is $20 trillion.
What is the current amount of real consumption in the economy? $_____ trillion. (Round your answer to two decimal places)
answer
5
$17.00 trillion
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With regard to the relationship between the C + I + G + X curve and the aggregate demand curve, changes in the price level cause
A. a shift of both the aggregate demand and C + I + G + X curves.
B. a movement along both the aggregate demand and C + I + G + X curves.
C. the aggregate demand curve to shift while it causes a movement along the C + I + G + X curve.
D. the C + I + G + X curve to shift while it causes a movement along the aggregate demand curve.
answer
D. the C + I + G + X curve to shift while it causes a movement along the aggregate demand curve.
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Use the identity: Yd = C + S
as a basis to answer the following questions.
1) In the Keynesian model, if disposable income were to increase households would
A. decrease both their consumption and saving.
B. increase saving and decrease consumption.
C. increase consumption and decrease saving.
D. increase both their consumption and saving.
2) The relationship between the MPC and the MPS indicates that the entire increase in household disposable income
A. is invested and saved.
B. is saved.
C. is consumed.
D. is distributed between consumption and saving.
answer
1) D. increase both their consumption and saving.
2) D. is distributed between consumption and saving.
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1) Which of the following statements is true when considering an economy with an upward-sloping short-run aggregate supply curve?
A. The multiplier has its full effect no matter what the economy is experiencing.
B. The multiplier has more impact when the economy is experiencing a recessionary gap compared to an inflationary gap.
C. The multiplier has an equal but muffled impact when there is either a recessionary or inflationary gap.
D. The multiplier has more impact when the economy is experiencing an inflationary gap compared to a recessionary gap.
The multiplier is weakened in inflationary gaps because of
A. incomes rising faster than the price level.
B. increasing returns.
C. rapid price level increases.
D. economies of scale.
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1) B. The multiplier has more impact when the economy is experiencing a recessionary gap compared to an inflationary gap.
2) C. rapid price level increases.
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All of the following will cause the planned investment function to shift leftward except
A. a decrease in expected profits.
B. an increase in business taxation.
C. a regression in technology.
D. an increase in the interest rate.
This is the correct answer.
and a decrease in the interest rate causes
A. an increase in the amount of real planned investment.
B. an increase in the investment function.
C. an increase in disposable income.
D. a decrease in the investment function.
answer
1) D. an increase in the interest rate.
2) A. an increase in the amount of real planned investment.
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Use the graph depicting a typical consumption function to answer the questions that follow.
a) Autonomous consumption in this model is equal to:
$___trillion. (Enter your answer as a whole number)
b) If autonomous consumption should increase then
A. the slope of the consumption function becomes steeper.
B. the slope of the saving function becomes steeper.
C. the slope of the consumption function becomes flatter.
D. the consumption function shifts upward.
answer
a) $3 trillion
b) D. the consumption function shifts upward.
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An economy's consumption function is depicted in the table below.
a) When disposable income is equal to $200 billion total unplanned expenditures equal
A. $250 billion.
B. $200 billion.
C. $50 billion.
D. $360 billion.
b) Therefore, in this model when investment, government spending and net exports are included, and the disposable income is $200 billion, unplanned inventory is valued at
A. -0.30.
B. $-50 billion.
C. $-110 billion.
D. $50 billion.
answer
a) D. $360 billion. (Add the amounts of C+G+X+T columns for $200 billion in disposable income).
b) C. $-110 billion. (subtract disposable income & consumption [$250 -$360] from Total Planned Expenditures to get the unplanned inventory value).
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1) In an economy in which the multiplier has the value of 3, the price level has decreased from 115 to 110. As a consequence, there has been a movement along the aggregate demand curve from $20 trillion in real GDP to $24 trillion in real GDP.
What is the marginal propensity to save?
A. $4 trillion.
B. 0.33.
C. 3.
D. 0.67.
2) What was the amount of change in the autonomous expenditures generated by the decline in the price level?
A. $1.33 trillion.
B. $4 trillion.
C. $0.33 trillion.
D. $3 trillion.
answer
1) B. 0.33.
2) A. $1.33 trillion.
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In order to understand the outcomes of a model it is necessary to know the assumptions of a model.
In the Keynesian model, businesses
A. have retained earnings.
B. pay only sales tax.
C. earn no profit.
D. pay no indirect taxes.
The Keynsian model assumes that international trade
A. plays a large role since trade is an important part of every economy.
B. plays a small role since exports and imports are minimal for most countries.
C. plays no role in the simple model.
D. has imports equal to a country's exports for simplicity.
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1) D. pay no indirect taxes.
2) C. plays no role in the simple model.
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1) The greater the value of the marginal propensity to consume
A. the greater the value of autonomous consumption.
B. the greater the value of the multiplier.
C. the greater the value of the marginal propensity to save.
D. the smaller the value of the multiplier.
2) The greater the value of the marginal propensity to save
A. the greater the value of the marginal propensity to consume.
B. the greater the value of the multiplier.
C. the greater the value of autonomous consumption.
D. the smaller the value of the multiplier.
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1) B. the greater the value of the multiplier.
2) D. the smaller the value of the multiplier.
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An economy's consumption function is depicted in the table below.
a) When disposable income is equal to $200 billion total expenditures (including investments) equal
A. $200 billion.
B. $50 billion.
C. $260 billion.
D. $310 billion.
b) Therefore, in this model when investment is included, when the disposable income is $200 billion, saving must be equal 10
A. -0.30.
B. $50 billion.
C. $-60 billion.
D. $-110 billion.
answer
a) D. $310 billion. (Add Planned Investment + Consumption) [50+260].
b) C. $-60 billion. (Subtract [$250-$310] Disposable Income & Planned Investment from Total Expenditures).
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A Keynesian consumption function (C) is shown in the diagram to the right.
Consider the full Keynesian model where expenditures include consumption, investment, government spending, and net exports.
Suppose that investment is $2 trillion, government spending is $3 trillion, and net exports is $-2 trillion.
1.) Using the line drawing tool,
draw the new expenditures function, and label it '(C + I + G + X)'.
2.) Using the point drawing tool,
indicate the new equilibrium in the economy, and label it 'B'.
Carefully follow the instructions above, and only draw the required objects.
answer
add investment & government spending, then subtract net exports. (2+3-2 = 3), add 3 to current planned expenditures (example if 4), add 3+4=7, then line point graph at 7 to intersect the 45-degree reference line.
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When government spending and net exports are added into the Keynesian model
A. the 45-degree curve shifts upward.
B. the aggregate expenditures function shifts.
C. the slope of the aggregate expenditure function rises.
D. there is only a movement along the aggregate expenditure curve.
Which of the following statements is true concerning the foreign sector in the simple Keynesian model?
A. Imports are not used in the model since they represent the spending on foreign goods by the home country's citizens and firms.
B. Exports are not included as expenditures since they are goods that the home nation ships overseas.
C. Exports and imports depend on foreign and domestic incomes.
D. Net exports are autonomous.
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1) B. the aggregate expenditures function shifts.
2) D. Net exports are autonomous.
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If the consumption function is C=50 + 0.75y, then the marginal propensity to consume is?
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0.75
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In the United States, resource-using federal government expenditures account for almost 20 percent of real GDP.
A. True
B. False
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A. True
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The difference between real exports and real imports is called real net exports.
A. False
B. True
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B. True
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When including consumption, investment, government expenditures, and net exports, the equilibrium level of real GDP is found at the intersection of the C + I + G + X curve and the 45-degree reference line.
A. True
B. False
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A. True
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1)In the Keynesian model equilibrium national income
A. occurs when the marginal propensity to consume equals the multiplier.
B. equals planned consumption, investment, government, and net export expenditures.
C. equals planned consumption, investment, government, and import expenditures.
D. occurs at the point where the consumption function crosses the 45-degree line.
2) If real GDP falls below total planned expenditures the economy will see
A. production and employment increases.
B. production increases and employment decreases.
C. production decreases and employment increases.
D. production and employment decreases.
answer
1) B. equals planned consumption, investment, government, and net export expenditures.
2) A. production and employment increases.
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If the consumption function is C=50+0.75y, then the level of autonomous consumption is?
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50
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The slope of the consumption function is equal to?
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Marginal Propensity to Consume (MPC)
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Decreases in consumer confidence shift the consumption function in Figure 10.2 from?
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C2 to C1
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Let C =100 +0.6y and I=150. Then the equilibrium level of income, y* is?
answer
625
Demand=Output
Demand = C+I
100+0.6y+150 = 250+0.6y
Output = y
250+0.6y = y
250=0.4y
y = 625
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Let C=100+0.6y and I=150. At the equilibrium level of income, y*, the level of savings is?
answer
150
Savings = Income
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When we add autonomous investment, I, and autonomous government spending, G, to the consumption function, we obtain the C + I + G curve, which represents total _____ _____ for a closed economy. In an open economy, we add the foreign sector, which consists of exports minus imports, or net exports, X. Total planned expenditures are thus represented by the C + I + G + X curve.
Equilibrium real GDP can be found by locating the intersection of the total planned real expenditures curve with the _____ reference line. At that level of real GDP per year, planned real consumption plus planned real investment plus real government expenditure plus real net exports will equal real GDP.
Whenever total planned real expenditures exceed real GDP, there will be unplanned _____ in inventories. Production of goods and services will increase, and a higher level of equilibrium real GDP will prevail. Whenever total planned real expenditures are less than real GDP, there will be unplanned _____ in inventories. Production of goods and services will decrease, and equilibrium real GDP will decrease.
answer
planned expenditures
45-degree
decreases
increases
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Suppose an economy is depicted by the expenditure function provided below:
C + G + I + X = $200+ 0.75xY+ $250+ $275+ $125
All figures are in billions of dollars. Assume there are no taxes in this nation so disposable income Yd = Y.
The economy reaches an equilibrium at $___ billion. (Enter your answer as a whole number)
answer
$3400 billion
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C + G + I + X =
$200+ 0.75xY+ $250+ $275+ $125
(1-0.75)Y=$200+$250+ $275+ $125
0.25Y=850
Y=850/0.25
Y=$3400
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Which of the following statements is true of the multiplier in the Keynesian model when there is a(n) increase in autonomous expenditures?
A. Expenditures increase by the same amount in each round of spending.
B. Autonomous expenditures increase by the same proportion during each round of spending.
C. Income increases by the same amount in each round of spending.
D. Expenditures increase by the same proportion during each round of spending.
In this situation in which there is a increase in autonomous expenditures, in each successive round that the multiplier is applied
A. the MPC becomes larger.
B. the MPS becomes larger.
C. expenditures increase by a smaller amount than the previous round.
D. expenditures decrease by a larger amount than in the previous round.
answer
D. Expenditures increase by the same proportion during each round of spending.
C. expenditures increase by a smaller amount than the previous round.
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In an economy in which the multiplier has a value of 4, the price level has decreased from 115 to 110. As a consequence, there has been a movement along the aggregate demand curve from $14.0 trillion in real GDP to $15.6 trillion in real GDP.
This economy's marginal propensity to save is ____.
(Enter your response in decimal form).
The amount of the change in autonomous expenditures generated by the decline in the price level was, in billions, $___.
answer
0.25
(1 - 1 / 4 = 0.75; 1 - 0.75 = 0.25)
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$400 (15.6 - 14 = 1.6 x 0.25 = 0.4;
0.4 x 1000 = 400) or move decimal 2 spaces to the right
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Given that the MPS in an economy is equal to 0.10, the multiplier is equal to ___.
(Round your answer to two decimal places)
Now assume that autonomous real consumption spending is $1 trillion. There is no other autonomous spending presently taking place in the economy. The current real GDP is $12 trillion. What is the current amount of real consumption in the economy? $_________ trillion.
(Round your answer to two decimal places)
answer
10
(1 / 0.10 = 10)
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11.8
(1 - 0.10 = 0.9; 1 trillion + 0.9 x 12 trillion)
question
The marginal propensity to consume in an economy is 0.80. Thus, if the price level is fixed, a $400 increase in investment would be expected to increase real GDP by $___.
(Round your answer to the nearest dollar.)
Now suppose that the economy is known to be at a level of GDP that is above full employment and that the price level is not fixed. If the short-run aggregate supply curve (SRAS) is positively sloped, which of the following is the most likely effect of the increase in investment?
A. Aggregate demand will increase, and real GDP will increase by less than $2000.
B. Aggregate demand will increase, and real GDP will increase by $2000.
C. Aggregate demand will increase, but real GDP will not change.
D. Aggregate demand will increase, and real GDP will increase by more than $2000.
E. Aggregate demand will not change, and real GDP will increase by less than $2000.
answer
$2000
1/(1-0.80)=5
5x400=2000
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A. Aggregate demand will increase, and real GDP will increase by less than $2000.
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At an initial point on the aggregate demand curve, the price level is 125, and real GDP is $10 trillion. When the price level falls to a value of 120, total autonomous expenditures increase by $800 billion. The marginal propensity to consume is 0.6.
The level of real GDP at the new point on the aggregate demand curve is
A. $14.4 trillion
B. $2 trillion
C. $10.8 trillion
D. $12 trillion.
answer
D. $12 trillion.
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In the simple Keynesian cross model with no gov't or foreign sectors, the value of the multiplier is defined as?
answer
1/(1-MPC)
question
Let C = 25 + 0.75y and I=50. If investment increases by 150, then the value of the multiplier is?
answer
1 / 1-MPC
1/ 1-.075
1/.25
= 4
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The multiplier _____ as the marginal propensity to consume increases.
answer
increases
question
C=50+0.8 (y-T)
I=200
G=150
T=100
What is the equilibrium level of output?
answer
C=50+.8 (y-T) + I + G
50+.8 (y-100) + 200 +150
y=400+.8(y-100)
1y=320+.8y
0.2y = 320
y = 1600
question
C=50+0.8 (y-T)
I=200
G=150
T=100
What is the value of the gov't spending multiplier?
answer
1/MPS or 1/ 1-b
C =50 + 0.8 (y -T)
1-0.8=.2
1/.2 = 5
question
If taxes decrease by 50, then the change in output is?
answer
200
C = 50 + .8 (y-T) + I + G
50 + .8 (y-50) + 200 + 150
400 + .8 (y-50)
1y =350 +.8y
.2y = 350
y = 1750 (?)
tax decrease= output increase
question
Suppose the marginal propensity to consume for the U.S is 0.7. If policy makers wish to increase GDP by 50 billion how much does gov't spending have to increase to meet this target?
answer
Multiplier: 1/1-.7
1/.3 = 3.3 or 1/3
delta y/ delta G = 3.3
50/ delta G = 1/3
= 15 billion
question
C= 100+0.75(y-T)
I=100
G=150
T=100
X=75
M=0.10y
What is the marginal propensity to save?
answer
1-.75 = .25
question
A decrease in the level of imports _____ the demand for goods and services produced in the U.S.
answer
increases
question
The following equations describe consumption, investment, government spending, taxes, and net exports in the country of Economika.
C=200+0.75(Y-T)
I=500
G=450
T=450
X=50
In Economika, equilibrium GDP is equal to $_____.
(Round your answer the nearest dollar.)
If real GDP in Economika is currently $4,450, which of the following is true?
A. There will be an unplanned increase in inventories, and real GDP will increase next period.
B. There will be an unplanned increase in inventories, and real GDP will decrease next period.
C. There will be an unplanned decrease in inventories, and real GDP will increase next period.
D. There will be an unplanned decrease in inventories, and real GDP will decrease next period.
E. There will be no unplanned change in inventories, and real GDP will stay the same next period.
answer
$3,450
------------------------
C = autonomous consumption + MPC x (Y- T)
Solve for Y=C+I+G+X
Y=200+500+450+50
Y=1200
1200+0.75(Y-T)+I+G+X
200+0.75(1200-450)+500+450+50
1200+0.75(Y) - 0.75x450(T)
1200+0.75(Y) - 337.5(T)
(Y - T) =
1200-337.5= 862.5
862.5+0.75(Y)
0.75(Y) = 862.5
(Find) Multipler = 4
4 x 862.5 = 3,450
----------------------------
B. There will be an unplanned increase in inventories, and real GDP will decrease next period.
question
In a simple economy (assume there are no taxes; thus, Y is disposable income), the consumption function is:
C = 500 + 0.80Y.
The current level of real GDP is $4000.
At this level of real GDP, consumption will be $___,
and savings will be $___. If GDP were to increase by $1000, consumption would increase by $___.
(Round your responses to the nearest dollar.)
At a real GDP level of $4000, the average propensity to consume is .93, and the average propensity to save is .07.
(Round your answers to two decimal places.)
answer
$3700; $300; $800.
0.80 x 4000 = 3200 + 500 = 3700
4000 - 3700 = 300
0.80 x 1000 = 800
------------------
.93; .07
APC=C/Y (3700/4000=0.925)
round to two decimal places .93
APS=1-APC (1-.93=0.07)
round to two decimal places .07
question
C= 100+0.75(y-T)
I=100
G=150
T=100
X=75
M=0.10y
What is the value of the gov't spending multiplier?
answer
G multiplier:
1/ 1 - (b-m)
m = 1/RRR = 1/10% = 10
1 / 1-(0.75-0.1)
1 / 1 - (.65)
=1/.35 = 2.86
question
C= 100+0.75(y-T)
I=100
G=150
T=100
X=75
M=0.10y
What is the equilibrium level of output, y*?
answer
Ca - bT + I + G + x / [1-(b-m)]
100 - (.75x100) + 100 + 150 + 75 / [1-(.75-.1)]
425 - (75)
350/ 1-.65
350/ .35 = 1000
question
C= 100+0.75(y-T)
I=100
G=150
T=100
X=75
M=0.10y
At the equilibrium level of output y*, what is the level of imports?
answer
M=my
y =1000
0.1(1000) = 100
question
C= 100+0.75(y-T)
I=100
G=150
T=100
X=75
M=0.10y
If exports increase by 100 (X=175), what is the new equilibrium level of output?
answer
Ca - bT + I + G + x / [1-(b-m)]
100 - (.75x100) + 100 + 150 + 175 / [1-(.75-.1)]
525 - (75) / (1-.65)
450/.35 = 1286
question
C= 100+0.75(y-T)
I=100
G=150
T=100
X=75
M=0.10y
If the marginal propensity to import increases to 0.2, what is the new equilibrium level of output?
answer
Ca - bT + I + G + x / [1-(b-m)]
100 - (.75x100) + 100 + 150 + 75 / [1-(.75-.2)]
425 - (75) / (1-.55)
350/.45 = 777.78