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    IS & LM ModelPresented

    by

    MUHAMMAD HASEEB

    Assistant Professor

    Department of Economics

    DA COLLEGE FOR WOMEN PH-VIII, KARACHI

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    the IS curve, and its relation to:

    the Keynesian cross

    the LM

    curve, and its relation to: the theory of liquidity preference

    how the IS-LM model determines income and the

    interest rate in the short run when P

    is fixed

    In this topic you will learn:

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    def: a graph of all combinations of r and Y that result

    in goods market equilibriumi.e. actual expenditure (output)

    = planned expenditure

    The equation for the IS curve is:

    The IS curve

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    r I

    Deriving the IS curve

    Y2Y1

    Y2Y1Y

    PE

    r

    Y

    PE =C +I(r1)+GPE =C +I(r2)+G

    r1

    r2

    PE =Y

    IS

    IPE

    Y

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    A fall in the interest rate motivates firmsto increase investment spending, whichdrives up total planned spending (PE).

    To restore equilibrium in the goods

    market, output (a.k.a. actualexpenditure, Y) must increase.

    Why the IS curve is negatively sloped

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    Interest sensitivity of investment demand(responsiveness of investment demand due

    to change in interest rate).Higher the interest sensitivity ofinvestment demand flatter the IS curve

    Multiplier = 1/(1 mpc) (for three sectorclosed economy model with lump sum tax)

    Higher the mpc (lower mps) higher the

    multiplier flatter the IS curve

    Factors affecting the slope of IS curve

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    Government purchases

    Taxes Investment

    Wealth

    Exchange rate (for an open economy)

    Factors that shift the IS Curve

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    We can use the IS-LM model to see

    how fiscal policy (G and T) affectsaggregate demand and output.

    Lets start by using the Keynesiancross to see how fiscal policy shiftsthe IScurve

    Fiscal Policy and the IS curve

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    At any value of r, GPE Y

    Shifting the IS curve: G

    Y2Y1

    Y2Y1Y

    PE

    r

    Y

    PE =C +I(r1)+G1PE =C +I

    (r1

    )+G2

    r1

    PE =Y

    IS1

    The horizontal

    distance of the

    ISshift equals

    IS2

    so the IScurve

    shifts to the right.

    Y

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    Reasons for holding money classified byKEYNES according to motive. He

    identified the TRANSACTIONS,PRECAUTIONS and SPECULATIVEDEMAND FOR MONEY.

    A simple theory in which the interestrate is determined by money supply and

    money demand.

    The Theory of Liquidity Preference

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    The supply ofreal moneybalances

    is fixed:

    Money supply

    M/Preal money

    balances

    rinterest

    rate

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    Demand forreal moneybalances:

    Money demand

    M/Preal money

    balances

    rinterest

    rate

    L(r)

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    The interestrate adjuststo equate the

    supply anddemand formoney:

    Equilibrium

    M/Preal money

    balances

    rinterest

    rate

    L(r)

    r1

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    To increase r,

    Central bank

    reduces M

    How central bank raises the interest rate

    M/Preal money

    balances

    rinterest

    rate

    L(r)

    r1

    r2

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    Now lets put Y back into the money demand function:

    The LM curve

    The LMcurve is a graph of all combinations ofr

    and Y that equate the supply and demand for

    real money balances.

    The equation for the LMcurve is:

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    Deriving the LM curve

    M/P

    r

    L(r,Y1)

    r1

    r2

    r

    YY1

    r1

    L(r,Y2)

    r2

    Y2

    LM

    (a) The market forreal money balances(b) The LMcurve

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    An increase in income raises moneydemand.

    Since the supply of real balances isfixed, there is now excess demand inthe money market at the initial interest

    rate. The interest rate must rise to restore

    equilibrium in the money market.

    Why the LM curve is upward sloping

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    Interest sensitivity of money demand(responsiveness of money demand due tochange in interest rate).

    Higher the interest sensitivity of

    money demand flatter the LM curve

    Factors affecting the slope of LM curve

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    Factors that shift the LM Curve Nominal Money Supply

    Price level

    Expected Inflation

    All those factors that change the moneydemand (increase/decrease of wealth,increase/decrease in the risk of alternativeassets, increase/decrease in liquidity of

    alternative assets and increase and decrease inthe efficiency of payment technologies

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    How Money supply shifts the LM curve

    M/P

    r

    L

    (r

    ,

    Y1

    )

    r1

    r2

    r

    YY1

    r1

    r2

    LM1

    (a) The market forreal money balances(b) The LMcurve

    LM2

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    The short-run equilibrium isthe combination of r and Y

    that simultaneously satisfies

    the equilibrium conditions in

    the goods & money markets:

    The short-run equilibrium

    Y

    r

    IS

    LM

    Equilibrium

    interest

    rate

    Equilibrium

    level of

    income

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    Fiscal Policy

    An increase in Government Spending We begin by examining how changes in fiscal policy(taxes and spending) alter the economys short-runequilibrium.

    An increase in government spending is represented in

    the next slide. The equilibrium of the economy moves from point A to

    point B. Income rises from Y1 to Y2 and the real interestrate rises from r1 to r2.

    When the government increases its spending, total incomeY begins to rise (from the Keynesian cross model). As Yrises, the economys demand for money rises and so,assuming that the supply of real balances is fixed, theinterest rate r begins to rise. As r rises, I falls thus partiallyoffsetting the effects of the increased government

    spending.

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    Fiscal Policy

    An increase in Government Spending

    The increased government spending has crowded-

    out some of the investment spending in theeconomy.

    The case of a tax cut is similar. This is represented inthe next slide.

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    Fiscal PolicyA decrease in Government Tax

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    Monetary Policy

    An increase in Money Supply We now examine the effects of monetary policy. This

    is represented in the next slide. Consider an increase in the money supply. An increase in M

    leads to an increase in M/P since we are assuming that P isfixed. The LM curve shifts downward and the economymoves from point A to point B. The increase in the moneysupply lowers the interest rate and raises the level of income.

    This is because the increase in M/P lowers r and this causes I

    to increase since I is inversely related to r. This, in turn,increases planned expenditure, production and income Y.

    This process is called the monetary transmission

    mechanism.

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    Monetary PolicyAn inc rease in Money Supply

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    Fiscal And Monetary Interaction

    We can now consider simultaneous fiscal andmonetary policy in the IS/LM model in the next slide.

    Slide (a) shows the effects of a tax increase, holding thereal money supply constant.

    Slide (b) shows the effects of a tax increase,accompanied by a contraction in the real money supply.

    This keeps the interest rate constant in the economy. Slide (c) shows the effect of the tax cut combined with

    an expansion of the real money supply. The effect ofthis policy is to keep the level of income constant in theeconomy.

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    Fiscal And Monetary Interaction

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    The Big PictureKeynesianCross

    Theory of

    Liquidity

    Preference

    IScurve

    LM

    curve

    IS-LM

    model

    Agg.

    demand

    curve

    Agg.

    supply

    curve

    Model of

    Agg.

    Demandand Agg.

    Supply

    Explanation

    of short-run

    fluctuations

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    Macroeconomics 4th Edition by Gregory Mankiw

    Macroeconomics by 7th Edition Dornbusch & Fisher

    Macroeconomics by 5th Edition Richard T Froyan

    Economics 3rd Edition by John Sloman

    Internet

    REFERENCES

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