Nominal Real Interest Rates and Phillips Curve

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    Nominal and Real Interest RatesNominal and Real Interest Rates

    Interest can be thought of as rentInterest can be thought of as rent

    on moneyon money

    The fee (interest) is compensation toThe fee (interest) is compensation tothe lender for foregoing other usefulthe lender for foregoing other useful

    investments that could have beeninvestments that could have been

    made with the loaned moneymade with the loaned money

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    Example:Example:

    Assume that a lender wants to earn 5%Assume that a lender wants to earn 5%off of a loan and the inflation rate is 5%off of a loan and the inflation rate is 5%

    How much more can the lender buy in realHow much more can the lender buy in realterms once he is paid back?terms once he is paid back?

    Answer: zeroAnswer: zero If the lender wanted the ability to buy 5%If the lender wanted the ability to buy 5%

    more, he would need to charge 10%more, he would need to charge 10% TheThe real interestreal interest rate expresses the cost ofrate expresses the cost of

    borrowed funds after the expected erosionborrowed funds after the expected erosionof the value of those funds due to the riseof the value of those funds due to the risein the general price levelin the general price level

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    The Fisher EquationThe Fisher Equation

    r = i - r = i -

    Where r is the real interest rate, iWhere r is the real interest rate, i

    is the nominal interest rate, and is the nominal interest rate, and

    is the inflation rateis the inflation rate

    Lenders must set the nominalLenders must set the nominal

    interest rate based on what theyinterest rate based on what they

    expect the inflation rate to beexpect the inflation rate to be

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    The effect of monetary policy onThe effect of monetary policy on

    interest ratesinterest rates

    An expansion in the money supply,An expansion in the money supply,

    generally results in a short termgenerally results in a short term

    decrease in real/nominal interestdecrease in real/nominal interest

    rates, but an increase in nominalrates, but an increase in nominal

    interest rates in the long run.interest rates in the long run.

    Why?Why?

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    iMS1

    i1

    Q

    MDi2

    MS2

    Qm1 Qm2

    r

    r1

    Q

    IDr2

    Qi1 Qi2

    Money Market Investment Demand

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    PL

    Real GDP

    SRAS1

    Yfe

    AD1

    LRAS

    Y2

    PL1

    PL2

    AD2

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    PL

    Real GDP

    SRAS1

    Yfe

    AD1

    LRAS

    Y2

    PL1

    PL2

    AD2

    SRAS2

    PL3

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    Long-run interest ratesLong-run interest rates

    In the long-run the real interest rateIn the long-run the real interest rate

    will go back to its full-employmentwill go back to its full-employment

    levellevel

    Due to the increased price level,Due to the increased price level,

    lenders expect higher inflation andlenders expect higher inflation and

    they will adjust the nominal interestthey will adjust the nominal interest

    rate to reflect this expectationrate to reflect this expectation

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    Phillips curvePhillips curve

    The inverseThe inverserelationshiprelationshipbetween inflationbetween inflationand unemploymentand unemployment

    Applies to theApplies to theshort-run onlyshort-run only

    The Phillips curve isThe Phillips curve isvertical in the long-vertical in the long-run. Why?run. Why?

    Changes in theChanges in theeconomy usuallyeconomy usuallyresult inresult inmovements alongmovements alongthe Phillips curvethe Phillips curve

    Unemployment Rate

    Phillips Curve

    Inflati o

    n

    Ra

    te