Mishkin PPT Ch19

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    Chapter 19

    The Demandfor Money

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     M = the money supply

     P = price level

    Y = aggregate output (income) P × Ψ = αγγρεγατε νοµ ιναλινχοµ ε (νοµ ιναλΓ∆Π)

    ς = ϖελοχιτψ οφµ ονεψ (αϖεραγε νυµ βεροφτιµ εσπερψεαρτηατ α δολλαρισσπεντ)

    ς  = Π × Ψ 

    Μ Εθυατιον οφ Εξχηανγε

    Μ ×ς  = Π × Ψ 

    Velocity of Money and TheEquation of Exchange

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    Quantity Theory

    • Velocity fairly constant in short run

    • Aggregate output at full-employment level

    • Changes in money supply affect only theprice level

    • Movement in the price level results solely

    from change in the quantity of money

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    Quantity Theory of MoneyDemand

    Divide both sides by V 

    When the money market is in equilibrium

     M = M d 

    Let

    Because k  is constant, the level of transactions generated by a fied level of PY  determines the quantity of M d .

    !he demand for money is not affected by interest rates

     PY V 

     M    ×=  1

    V k 

    "=

     PY k  M d  ×=

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    Quantity Theory of MoneyDemand

    • Demand for money is determined by:

    – he level of transactions generated by the level ofnominal income PY  

    – he institutions in the economy that affect the!ay people conduct transactions and thusdetermine velocity and hence k 

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    FI!"E 1 Change in the Velocity of M"and M# from $ear to $ear% "&"'–#(()

    Sources: Economic Report of the President; Banking and Monetary Statistics; 

    !!!*federalreserve*gov+releases+h,+hist+h,hist"*tt*

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    #eyne$%$ &iquidity'reference Theory

    • .hy do individuals hold money/

    – ransactions motive

    – 0recautionary motive

    – 1peculative motive

    • Distinguishes bet!een real and nominalquantities of money

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     M d 

     P =  φ (ι,Ψ ) ωηερε τηε δεµ ανδ φορρεαλµ ονεψ βαλανχεσι

     νεγατιϖελψ ρελατεδ το τηε ιντερεστ ρατε ι,

    ανδ ποσιτιϖελψ ρελατεδ το ρεαλινχοµ ε Ψ 

    Ρεωριτινγ 

    Π 

    Μ δ =

    1

    φ (ι,Ψ ) 

    Μυλτιπλψ βοτη σιδεσβψΨ  ανδ ρεπλαχινγ Μ δ  ωιτη Μ 

    ς  = ΠΨ 

    Μ =

      Ψ 

    φ (ι,Ψ ) 

    The Three Moti(e$

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    The Three Moti(e$ )cont%d*

    • Velocity is not constant:

    – he procyclical movement of interest rates shouldinduce procyclical movements in velocity*

    – Velocity !ill change as epectations about futurenormal levels of interest rates change

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    Further De(elopment$ in the#eyne$ian +pproach

    • ransactions demand

    – 2aumol - obin model

    – here is an opportunity cost and benefit

    to holding money– he transaction component of the demand for

    money is negatively related to the level ofinterest rates

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    FI!"E , Cash 2alances in the2aumol-obin Model

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    'recautionary Demand

    • 1imilar to transactions demand

    • As interest rates rise% the opportunity cost ofholding precautionary balances rises

    • he precautionary demand for money isnegatively related to interest rates

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    -peculati(e Demand

    • 3mplication of no diversification

    • 4nly partial eplanations developed further5obin6

    – 7is8 averse people !ill diversify its portfolio andhold some money as a store of !ealth

    – Do not provide a definite ans!er as to !hy

    people hold money as a store of !ealth

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    Friedman%$ Modern QuantityTheory of Money

    = demand for real money balances

    = measure of #ealth (permanent income)

    = epected return on money

    = epected return on bonds

    = epected return on equity (common stocks)

    = epected inflation rate

    ( mememb pd 

    r r r r r Y  f  P 

     M  $$$= π ,,,

     P 

     M d 

     pY 

    mr 

    b

    er 

    eπ 

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    Varia.le$ inThe Money Demand Function

    • 0ermanent income 5average long-run income6 isstable% the demand for money !ill not fluctuatemuch !ith business cycle movements

    • .ealth can be held in bonds% equity and goods9incentives for holding these are represented by theepected return on each of these assets relative tothe epected return on money

    • he epected return on money is influenced by:– he services proved by ban8s on deposits

    – he interest payment on money balances

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    Difference$ .et/een #eyne$%$and Friedman%$ Model

    • riedman

    – 3ncludes alternative assets to money

    – Vie!ed money and goods as substitutes

    – he epected return on money is not constant9ho!ever% r b – r m does stay constant as interest

    rates rise

    – 3nterest rates have little effect on the demand formoney

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    Difference$ .et/een #eyne$%$and Friedman%$ Model )cont%d*

    • riedman 5cont;d6

    – he demand for money is stable ⇒velocity is predictable

    – Money is the primary determinant of aggregatespending

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    Empirical E(idence

    • 3nterest rates and money demand

    – Consistent evidence of the interest sensitivity of thedemand for money

    – % instability of the money demand function has

    caused velocity to be harder to predict

    • 3mplications for ho! monetary policy shouldbe conducted