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    Chapter 8 - Aggregate Expenditureand Equilibrium Output

    Alice T. Valerio, P h.D.DLSU-D

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    Chapter OutlineThe Keynesian Theory of ConsumptionOther Determinants of Consumption

    Planned Investment ( I )

    The Determination of Equilibrium Output (Income)The Saving/Investment Approach to EquilibriumAdjustment to Equilibrium

    The MultiplierThe Multiplier EquationThe Size of the Multiplier in the Real World

    Looking Ahead

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    The Core of Macroeconomic

    Theory

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    Aggregate Output and

    Aggregate Income ( Y ) Aggregate output is the totalquantity of goods and servicesproduced (or supplied) in aneconomy in a given period.

    Aggregate income is the total

    income received by all factors of production in a given period.

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    Aggregate Output and

    Aggregate Income ( Y ) Aggregate output (income) (Y) is acombined term used to remind you of theexact equality between aggregate outputand aggregate income.When we talk about output ( Y ), we mean

    real output , or the quantities of goods andservices produced, not the dollars/pesos incirculation.

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    Income, Consumption,

    and Saving ( Y , C , and S )A household can do two, and only two, thingswith its income: It can buy goods andservices that is, it can consume or it can

    save.Saving (S) is the part of its income that ahousehold does not consume in a given period.Distinguished from savings , which is the

    current stock of accumulated saving.

    S Y C The triple equal sign means this is an identity , or

    something that is always true.

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    Explaining Spending BehaviorAll income is either spent on consumption orsaved in an economy in which there are notaxes.

    Saving = Aggregate Income Consumption

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    Household Consumption and

    SavingSome determinants of aggregate consumptioninclude:1.

    Household income2. Household wealth3. Interest rates4. Households expectations about the

    futureIn The General Theory , Keynes argued thathousehold consumption is directly related toits income.

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    Household Consumption and

    SavingThe relationship betweenconsumption and income iscalled the consumption

    function . For an individual household, the

    consumption function shows the levelof consumption at each level of household income.

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    Household Consumption and

    Saving

    The slope of the

    consumption function ( b) iscalled the marginal

    propensity to consume(MPC), or the fraction of achange in income that isconsumed, or spent.

    C a bY =

    0 1b C + I aggregate output > planned aggregate expenditure

    inventory investment is greater than planned

    actual investment is greater than planned investment

    Disequilibria:

    C + I > Y planned aggregate expenditure > aggregate output

    inventory investment is smaller than planned

    actual investment is less than planned investment

    aggregate output = Y planned aggregate expenditure = AE = C + I

    equilibrium: Y = AE , or Y = C + I

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    Equilibrium AggregateOutput (Income)

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    Equilibrium AggregateOutput (Income)

    C Y 100 75. I 25Deriving the Planned Aggregate Expenditure Schedule and Finding Equilibrium (All Figuresin Billions of Dollars) The Figures in Column 2 are Based on the Equation C = 100 + .75 Y .

    (1) (2) (3) (4) (5) (6)

    AGGREGATEOUTPUT

    (INCOME) ( Y )AGGREGATE

    CONSUMPTION ( C )PLANNED

    INVESTMENT ( I )

    PLANNEDAGGREGATE

    EXPENDITURE ( AE )C + I

    UNPLANNEDINVENTORY

    CHANGEY (C + I )

    EQUILIBRIUM?(Y = AE ?)

    100 175 25 200 100 No

    200 250 25 275 75 No

    400 400 25 425 25 No500 475 25 500 0 Yes

    600 550 25 575 + 25 No

    800 700 25 725 + 75 No

    1,000 850 25 875 + 125 No

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    Equilibrium AggregateOutput (Income)

    Y Y 100 75 25.

    Y C I (1)

    C Y 100 75.(2)

    I 25(3)

    By substituting (2) and (3) into (1)we get:

    There is only one value of Y for whichthis statement is true. We can find it byrearranging terms:

    Y Y 100 75 25.

    Y Y .75 100 25

    Y Y .75 125.25 125Y

    Y 125

    25

    500

    .

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    The Saving/InvestmentApproach to Equilibrium

    If planned investment is exactly equal to saving, thenplanned aggregate expenditure is exactly equal to aggregate

    output, and there is equilibrium.

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    The S = I Approach to EquilibriumAggregate output will be equal toplanned aggregate expenditure

    only when saving equals plannedinvestment ( S = I ).

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    The Determination of Equilibrium Output (Income)

    Adjustment to EquilibriumThe adjustment process will continue as long as output(income) is below planned aggregate expenditure. If firms react to unplanned inventory reductions byincreasing output, an economy withplanned spending greater than output will adjust toequilibrium, with Y higher than before. If plannedspending is less than output, there will be unplanned

    increases in inventories. In this case, firms will respondby reducing output. As output falls, income falls,consumption falls, and so on, until equilibrium isrestored, with Y lower than before.

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    The MultiplierThe multiplier is the ratio of the change in theequilibrium level of output to a change insome autonomous variable.

    An autonomous variable is a variable thatis assumed not to depend on the state of theeconomy that is, it does not change whenthe economy changes.

    In this chapter, for example, we considerplanned investment to be autonomous.

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    The MultiplierThe multiplier of autonomous investmentdescribes the impact of an initial increase in

    planned investment on production, income,consumption spending, and equilibriumincome.

    The size of the multiplier depends on theslope of the planned aggregate expenditureline.

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    The Multiplier Equation

    MPS S

    Y

    D

    D

    MPS I

    Y

    D

    D

    Because D S must be equal to D I for equilibrium to berestored, we can substitute D I for D S and solve:

    therefore, D DY I MPS

    1

    multiplier MPS

    1 , or multiplier MPC

    1

    1

    The marginal propensity to save may be expressedas:

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    The Multiplier After an increase in

    planned investment,equilibrium output is four times the amount of theincrease in plannedinvestment.

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    The MultiplierThe Multiplier Equation

    The Paradox of ThriftThe Paradox of Thrift

    An increase in planned saving from S 0 to S 1 causes equilibrium output todecrease from 500 to 300. Thedecreased consumption thataccompanies increased saving leads toa contraction of the economy and to areduction of income. But at the newequilibrium, saving is the same as itwas at the initial equilibrium. Increasedefforts to save have caused a drop inincome but no overall change in

    saving.

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    The Size of the Multiplierin the Real World

    The size of the multiplier inthe U.S. economy is about1.4. For example, a sustainedincrease in autonomousspending of $10 billion into

    the U.S. economy can beexpected to raise real GDP over time by $14 billion.

    REVIEW TERMS AND CONCEPTS

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    actual investmentaggregate incomeaggregate outputaggregate output (income) (Y)aggregate saving (S)

    consumption functionequilibriumexogenous variableIdentitymarginal propensity to consume

    (MPC)marginal propensity to save

    (MPS)

    REVIEW TERMS AND CONCEPTS

    multiplierplanned aggregate expenditure (AE)planned investment (I)

    1. S Y C 2.3. MPC + MPS 1 4. AE C + I 5. Equilibrium condition: Y = AE or

    Y = C + I6. Saving/investment approach to

    equilibrium: S = I

    7.

    slope of consumption functionC

    MPC Y

    D

    D

    - MPC MPS 11

    1

    Multiplier

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    END OFLECTURE