Econ1102 Week 9

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    Week 9

    Aggregate Demand and Aggregate Supply

    Reference: Bernanke, Olekalns and Frank - Chapter 9

    Key Issues

    Aggregate Demand (AD) CurveSlope and Shifts in the AD CurveInflation: Inertia and the Output Gap

    Aggregate Supply (AS) CurveAD-AS ModelApplications

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    2

    The Aggregate Demand (AD) Curve

    In the previous Lecture we developed the following two

    models:

    A PAEcurve that depended on the real interest rate

    Apolicy reaction function for the RBA, in which thereal interest rate responded to the inflation rate

    These two equations can be combined to produce arelationship between output and inflation, that is called

    the Aggregate Demand curve

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    Planned Aggregate Expenditure

    rTYcCC )( rII

    P

    GG

    XNNX

    TT NXGICPAE

    P

    The above model can be simplified to gives the following

    equation forPAE

    cYrXNGITcCPAE ])([

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    Policy Reaction Function

    We assume that the policy reaction function of the RBA

    can be represented by the following equation:grr r and g are positive constants chosen by the RBA

    g indicates by how many percentage points the RBAraises the real interest rate in response to a given rise

    in inflation

    rindicates the value of the real interest rate wheninflation is zero

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    Policy Reaction Function (continued)

    r grr

    r

    0 0.01 0.02 0.03

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    Deriving the AD Curve

    cYrXNGITcCPAE ])([

    For a given real interest rate, we can use the equilibrium

    condition

    Y = PAE

    to solve for equilibrium output:

    cYrXNGITcCY ])([

    ])([1

    1rXNGITcC

    cY

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    AD Curve

    Now use the RBAs policy reaction function,

    grr to substitute for the real interest rate

    ])([1

    1rXNGITcC

    cY

    )])(([1

    1 grXNGITcC

    cY

    ])()([1

    1 grXNGITcCc

    Y

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    Slope of the AD Curve

    We can simplify the AD curve

    ])()([1

    1 grXNGITcC

    cY

    as

    c

    gY

    1

    )(constant

    The model implies a negative relationship betweenequilibrium output and the rate of inflation.

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    AD curve has a negative slope

    AD

    y Other things equal, an increase in inflation is associated

    with a fall in equilibrium output.

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    Why Does AD Curve Slope Downwards?

    Model explains negative slope as reflecting the behaviour

    of the central bank.

    When inflation is high, the RBA will raise the real

    interest rate. The increase in rreduces consumption and

    investment (i.e. PAE) and this produces a fall inequilibrium output.

    Other reasons not explicitly included in the modelinclude: wealth, distributional and uncertainty effects.

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    Shifts in the AD Curve

    ])()([1

    1 grXNGITcC

    cY

    2 main factors

    1. Exogenous changes in spending: XNGITC ,,,,

    Fiscal policy or private spending

    2. Exogenous change in the RBAs policy reaction

    function: r

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    Exogenous Increase in Spending

    AD

    AD

    y

    eg1. Due to increasing future uncertainty in the economy, businesses

    reduce spending on new capital?

    eg2. The government reduces income taxes?

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    Exogenous Shift in Policy Reaction Function

    r

    ADAD

    y

    Increase in r produces an upward shift in the policyreaction function (tighter monetary policy) and leads to

    an inward shift in the AD curve.

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    Inflation and Aggregate Supply (AS)

    The AD curve contains two endogenous variables

    Output andInflation

    To solve for these two variables we need to develop a

    model for aggregate supply.

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    Inflation Inertia

    In the short-run we assume that inflation is sticky or

    inertial.

    In the absence of any large shocks, the rate of inflation

    tends to change relatively slowly from year to year.

    Reflects the influence of:

    Inflation expectationsLong-term nominal wage and price contracts

    Eg. http://www.hr.unsw.edu.au/services/salaries/gensal38.html

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    ttt 1

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    Inflation and the Output Gap

    In the longer-term, the output gap matters.

    Output Gap Inflation

    Expansionary (y>y*) Rising

    Contractionary (y

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    Aggregate Supply: Short-Run and Long-Run

    LRAS

    0 SRAS

    *y y

    LRAS = Long-run aggregate supply (at potential output)SRAS = Short-run aggregate supply (or short run inertial

    inflation line)

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    AD-AS: Short-Run Equilibrium LRAS

    0 SRAS

    AD

    y *

    y y

    SR Equilibrium is where AD curve cuts SRAS.Inflation rate is determined by past expectations and

    pricing decisions. The output gap is negative.

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    AD-AS: Adjustment to Long-Run Equilibrium LRAS

    0 SRAS

    AD

    y *

    y y

    The existence of a short-run contractionary gap putsdownward pressure on the inflation rate. SRAS curve

    begins to shift downwards and output gap closes.

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    AD-AS: Long-Run Equilibrium LRAS

    0 SRAS* SRAS

    AD

    y *

    y y

    Eventually, the fall in inflation leads to the elimination of

    the recessionary gap and economy is in LR equilibrium.

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    Adjustment to an Expansionary Gap

    LRAS

    * SRAS

    0 SRAS

    AD

    *

    y y y

    Inflation rises and output falls, until LR equilibrium

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    Is Economy Self-Correcting?

    AD-AS model suggests that while the economy may

    experience recessionary and inflationary output gaps in

    the short-run; it will, in the long-run, return to a position

    where*

    yy .

    What is the justification for active stabilisation policy

    using monetary and fiscal policy?

    One answer is that the speed at which economy returns tolong-run equilibrium may be unacceptably slow.

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    Applications of the AD-AS Model

    Shocks to AD Curve

    ])()([1

    1 grXNGITcC

    cY

    Exogenous changes in consumption, investment,government spending or net exports will all produce

    shifts in the AD curve.

    If the economy is already at potential output, positive

    shocks to AD will be inflationary.

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    Excessive Aggregate Expenditure (Short-run) LRAS

    SRAS

    ADAD

    *y y

    Increase in PAEshifts AD curve to the right andproduces a SR expansionary gap.

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    Excessive Aggregate Expenditure (Long-run) LRAS

    SRAS

    SRAS

    AD

    *y y

    Expansionary gap increases the inflation rate and SRAS

    shifts upward. In the LR*

    yy , but higher inflation.

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    Could the RBA have prevented the Rise in Inflation?

    Yes (potentially).

    By increasing r and shifting its policy reaction function

    upwards. This will move AD curve to the left and offset

    positive spending shock.

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    Exogenous Policy by RBA

    RBA raises r to offset increase

    in PAE

    AD*

    y

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    Inflation Shocks

    A sudden change in the rate of inflation that is unrelated

    to the output gap.

    Shock that shifts the SRAS curve, but does not affect the

    level of potential output and hence shift the LRAS curve

    Examples

    Large increases in economy-wide wagesLarge commodity or energy price shocksLarge falls in manufactured goods prices (China)

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    Adverse Inflation Shock

    LRAS

    SRAS SRAS

    AD

    y*

    y y

    Rise in inflation and recessionary gap.

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    RBA takes no Deliberate Monetary Policy Actions LRAS

    SRAS SRAS

    AD

    y*

    y y

    Recessionary gap will eventually lead to a fall in inflationand economy will move back along AD curve to its

    initial equilibrium.

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    RBA Eases Monetary Policy to Offset Recessionary Gap LRAS

    SRAS SRAS

    AD

    AD

    y*

    y y

    RBA shifts its policy reaction function downwards andthis shifts AD curve to the right. Recessionary gap is

    eliminated, but at the cost of a higher rate of inflation.

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    Shock to Potential Output

    Fall in Potential Output

    LRAS LRAS

    SRAS

    AD

    *

    1y *

    y y

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    Shock to Potential Output (Long-Run Adjustment)LRAS

    LRAS

    SRAS

    SRAS

    AD*

    1y *

    y y Permanent fall in output

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    Controlling Inflation

    Disinflation: process whereby use tight monetary policy

    to reduce the rate of inflation in an economy.

    Examples:

    Volker disinflation in the US in early 1980sDisinflation in Australia in early 1990s

    Year 1987 1988 1989 1990 1991 1992 1993 8.5 7.3 7.5 7.3 3.2 1.0 1.8

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    Short-Run Effect: Recessionary Gap

    LRAS

    10% SRAS

    AD

    ADy

    *y y

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    Long-Run Effect: Lower inflation, Zero Output Gap

    LRAS

    10% SRAS

    5% SRAS

    AD

    AD*

    y y

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    Summary

    In the short-run disinflation can be costly in terms of

    lost output.

    Once a country has attained a low inflation rate, it may

    introduce institutional arrangements to help ensure the

    low rate is sustained.

    Example: Inflation Targets

    Help to anchor peoples inflation expectations

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    (Some potential MCQ)

    Suppose the aggregate demand curve in an economy is Y = 10 000 10 000,current inflation () equals 0.05 (5%), and potential output (Y*) equals 9500. If,starting from long-run equilibrium, an inflation shock raises inflation to 0.07, in theshort run, output will equal ____ and, in the long run, output will equal _____.A. 9300; 9300B. 9300; 9500C. 9500; 5500D. 9500; 9300

    If the aggregate demand curve in an economy is Y = 20 000 20 000p, currentinflation (p) equals 0.06 (6%), and potential output (Y*) equals 19 200, then, inthe short run, equilibrium output equals ____ and, in the long run, the inflationrate equals ___ %.

    A. 19 200; 4B. 19 200; 6C. 18 800; 4D. 18 800; 6

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    After this class you should be able to answer thefollowing questions:

    1.What is meant by the target rate of inflation?

    2.Why does the AD curve slope downwards?3.How is the AD curve derived?4.What factors cause the AD curve to shift, and how are these different

    from those that lead to a movement along the AD curve?

    5.What is meant by inflation inertia?

    6.How does inflation respond to the output gap?7.How is the AD/AS diagram derived?8.What are the various sources of inflation?9.How can the AD/AS diagram be used to explain developments in the

    Australian economy from the 1970s onwards?