Is LM Framework 2008

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    Macro- Economics

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    IS-LM MODEL

    Hicks and Hansen have shown Keynesian

    synthesis of the real and money market with the

    curves popularly known as IS and LM curves.

    The ISLM model is a macroeconomic tool that

    shows the relationship between interest rates and

    real output, in the goods & services market and the

    money market.

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    THEGOODSMARKETANDTHEISCURVE

    IS Curve is a graph of all combinations of r and Y

    that result in goods market equilibrium.

    In the simple model, it is assumed that the interest

    rate does not affect the demand for goods. The

    equilibrium condition was given by:

    Y C Y T I G ( )

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    since, Investment depends primarily on Y & I, we

    have

    Y C Y T I Y i G ( ) ( , )

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    SHIFTSOFTHEISCURVE

    We have drawn the IS curve, considering Tand Gconstant. Changes in either T, G. mpc (c) willshift the IScurve.

    To summarize:

    Equilibrium in the goods market implies that an increasein the interest rate leads to a decrease in output andvice- versa. The relation is represented by thedownward-sloping IScurve.

    Changes in factors that decrease the demand forgoods, given the interest rate, shift the IS curve to theleft. Changes in factors that increase the demand forgoods, given the interest rate, shift the IS curve to theright.

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    SHIFTINGTHEIS CURVE

    Changes in G, T, or c cause Y tochange for any level of r. This causesa shift in the IS curve.

    IS

    Y

    E

    Y1 Y2

    G

    Y1 Y2

    r1

    E=Y

    E=C+I+G2

    E=C+I+G1

    Suppose an increase in G by

    G.

    Y

    rFor any given r the rise in G

    causes rise in Y by multiplier

    times G.

    Consequently, IS curve

    shifts to the right

    IS

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    KEYNESLIQUIDITYPREFERENCETHEORY

    Keynes believed there were 3 motives to holding money:

    Transactions dd for Money :Money is a medium of exchange,and people hold money to transactions. Higher the income moreis transactions dd for Money.

    Precautionary dd for Money : People also hold money foremergencies .This also depends on the amount of transactionspeople expect to make, precautionary money demand is againexpected to rise with income.

    Speculative dd for Money : Money is also a way to storewealth. Keynes assumed that people stores wealth either asmoney or bonds. When interest rates are high, bond price wouldthen be expected to fall and bond prices would be expected to

    rise. So bonds are more attractive than money when interestrates are high. When interest rates are low, they then would beexpected to rise in the future and thus bond prices would beexpected to fall. So money is more attractive than bonds wheninterest rates are low. So under the speculative motive, moneydemand is negatively related to the interest rate. 8

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    SPECULATIVEDEMANDFORMONEY

    M

    r

    Md

    r0

    People decide to hold money

    instead of bonds when

    interest rates get so low that

    they cannot possibly go

    lower. The move to money toavoid capital losses.

    L p= L p(r)

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    The total liquidity preference function is expressed

    as M = L (Y, r).

    Supply of Money:The supply of money refers to

    the total quantity of money in the country. It is

    assumed to be fixed by the monetary authorities.

    Hence the supply curve of money is taken as

    perfectly inelastic represented by a vertical straight

    line.

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    MONEYANDOUTPUT : A KEYNESIAN

    VIEW

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    Similarly, decreasing the money supply would decrease

    aggregate demand and therefore, real output.

    However, if economy is in liquidity trap, there will not be

    decrease in r and so I will not increase.

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    BLOCKINGOFKEYNESIANTRANSMISSION

    MECHANISM

    Some economists believe that investment is not alwaysresponsive to interest rates and the link between themoney market and the goods and services marketwould be broken.

    Keynesians have sometimes argued that the demand

    curve for money could become horizontal at some lowinterest rate. This is called the Liquidity Trap.

    Liquidity Trap is a situation in which prevailing interestrates are so low that it makes monetary policyineffective. In a liquidity trap, consumers choose to avoid

    bonds and keep their funds in savings because of theprevailing belief that interest rates will soon rise.Because bonds have an inverse relationship to interestrates, they do not want to hold an asset whose price isexpected to decline. 12

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    LM CURVE

    LM curve depicts the money market. It gives the

    combinations of income and the interest rate for

    which the demand for money (or desired liquidity)

    equals the money supply.

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    SHIFTINGTHELM CURVE

    r

    Real

    MoneyBalances

    r2

    r1

    (M1/P)s

    L(r,Y)

    (M2/P)s

    LM

    Y

    r2

    r1

    Y

    r

    LM

    While changing money demand allows us to map out the

    LM curve, changes in M or P cause r to change for any

    level of Y. This causes a shift in the LM curve

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    IS=LM: THESHORTRUNEQUILIBRIUM

    Given IS and LM curves, we can determine the short run

    equilibrium r and Y.

    LM

    Y*

    r*

    Y

    r

    IS

    By plotting the relationship between Y and r when the goodsmarket is in equilibrium we get the IS curve.

    By mapping out the relationshipbetween Y and r when the moneymarket is in equilibrium we get theLM curve.

    When IS=LM we have theequilibrium levels of r and Y. Thisrepresents simultaneousequilibrium in the goods marketand the money market.

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    SLOPE/STEEPNESS OFISCURVE

    The slopeof the IScurve is determined by two

    factors: (1) Elasticity of I demand curve (I versus r)

    and (2) the marginal propensity to consume or the

    size of multiplier

    A highlyinterest-sensitive investment function will result

    in a flat IScurve

    A high MPC also implies a flat IScurve

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    THESLOPEOFTHELMCURVE

    It depends on two factors:

    (1) The responsiveness of demand for money to the

    change in Y.

    (2)

    The responsiveness of demand for money to thechange in r.

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    MONETARYPOLICYANDTHELMCURVE

    An increase in the money supply causes the LM

    curve to shift to the right

    Therefore, RBI can increase the potential

    equilibrium level of GDP associated with a given

    interest rate.

    However a change in income is not the only way

    an increase in the money supply can be

    absorbed into the economy.

    Since the supply of money exceeds the demand

    at the old rate, the interest rate may fall to

    increase the demand.19

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    THESIMULTANEOUSDETERMINATIONOFINCOME

    ANDINTEREST

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    THESIMULTANEOUSDETERMINATIONOF

    INCOMEANDINTEREST

    Point E is a stable equilibrium-as long as

    nothing shifts the IS or LM curves, there is no

    tendency for Y or r to change

    However, this YE may or may not be a full

    employment level of output.

    If not, the Govt. uses monetary or fiscal policy to

    shift one or both of the curve to move the

    economy to the full employment level.

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    ANEXPANSIONARYMONETARYPOLICY

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    MONETARYPOLICYISMOREEFFECTIVE

    THEFLATTERTHEISCURVE.

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    ANEXPANSIONARYFISCALPOLICY.

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    CROWDING-OUTEFFECT

    Increased government borrowing to finance the

    spending will increase interest rates.

    Higher interest rates will reduce investment spending

    which will tend to reduce the increase in GDP

    Therefore, the net effect of increased governmentspending will be diminished by the reduction in

    investment spending

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    A SUMMARYOFMONETARYANDFISCALPOLICY

    EFFECTIVENESS

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    LAFFERCURVE

    Tax

    Revenue

    Marginal Tax Rate0%

    100%tmax thigh

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    Incentives Matter

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    Thanks

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