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    ChapterFour

    1

    CHAPTER 4Money and Inflation

    A PowerPointTutorialTo Accompany

    MACROECONOMICS,6th. ed.N. Gregory Mankiw

    By

    Mannig J. Simidian

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    Stock of assetsStock of assets

    Used for transactionsUsed for transactions

    A type of wealthA type of wealth

    Money

    Inflation is an increase in the average level of prices, and a price

    is the rate at which money is exchanged for a good or service.

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    It serves as a store of value, unit of account, and a medium of

    exchange. The ease with which money is converted into other things

    such as goods and services--is sometimes called moneys liquidity.

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    Fiat money is money by declaration.

    It has no intrinsic value.

    Commodity money is money that

    has intrinsic value.

    When people use gold as money, the

    economy is said to be on agold standard.

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    The government may get involved in

    the monetary system to help people

    reduce transaction costs. Using gold as

    a currency is costly because the purityand weight has to be verified. Also,

    coins are more widely recognized than

    gold bullion.

    The government then accepts gold from the publicin exchange for gold-certificates pieces of paper

    that can be redeemed for actual gold. If people trust

    that the government will give them the gold upon

    request, then the currency will be just as valuable as

    the gold itselfplus, it is easier to carry around the

    paper than the gold. The end result is that because

    no one redeems the gold anymore and everyone

    accepts the paper, they will have value and serve as

    money.

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    The money supply is the quantity of money available in an economy.

    The control over the money supply is called monetary policy.In the United States, monetary policy is conducted in a partially

    independent institution called the central bank. The central bank in the

    U.S. is called the Federal Reserve, or the Fed.

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    To expandthe money supply:

    The Federal Reserve buys U.S. Treasury Bondsand pays for them with new money.

    To reduce the money supply:

    The Federal Reserve sells U.S. Treasury Bondsand receives the existing dollars and then destroys

    them.

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    The Federal Reserve controls

    the money supply in 3 ways:

    Conducting Open Market Operations

    (buying and selling U.S. Treasury bonds).

    Changing the Reserve requirements

    (never really used).

    Changing the Discount rate which

    member banks (not meeting the reserve

    requirements) pay to borrow from the

    Fed.

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    nd

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    ChapterFour

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    The quantity equation is an identity: the definitions of the four

    variables make it true. If one variable changes, one or more of the

    others must also change to maintain the identity. The quantity

    equation we will use from now on is the money supply (M) times the

    velocity of money (V) which equals price (P) times the number of

    transactions (T):Money Velocity = Price Transactions M V = P T

    Vin the quantity equation is called the transactions velocity of money.This tells us the number of times a dollar bill changes hands in a given

    period of time.

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    Transactions and output are related, because the more the

    economy produces, the more goods are bought and sold.

    IfYdenotes the amount of output andPdenotes the price of one

    unit of output, then the dollar value of output isPY. We

    encountered measures for these variables when we discussed

    the national income accounts.

    Money Velocity = Price Output M V = P Y

    This version of the quantity equation is called the incomevelocity of money, which tells us the number of times a dollar

    bill enters someones income in a given time.

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    Lets now express the quantity of money in terms of the quantity of

    goods and services it can buy. This amount, M/Pis called real money

    balances. Real money balances measure the purchasing power of the

    stock of money.

    A money demand function is an equation that shows the determinantsof real money balances people wish to hold. Here is a simple money

    demand function:

    where k is a constant that tells us how much money people want to holdfor every dollar they earn. This equation states that the quantity of real

    money balances demanded is proportional to real income.

    (M/P)d= kY

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    The money demand function is like the demand function for a

    particular good. Here the good is the convenience of holding real

    money balances. Higher income leads to a greater demand for real

    money balances. The money demand equation offers another way

    to view the quantity equation (MV= PY) where V= 1/k.

    This shows the link between the demand for money and the

    velocity

    of money. When people hold a lot of money for each dollar of

    income (k is large), money changes hands infrequently (Vis small).

    Conversely, when people want to hold only a little money (k is

    small), money changes hands frequently (Vis large). In other

    words, the money demand parameterkand the velocity of money V

    are opposite sides of the same coin.

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    The quantity equation can be viewed as a definition:

    it defines velocity Vas the ratio of nominal GDP, PY,

    to the quantity of money M. But, if we make theassumption that the velocity of money is constant,

    then the quantity equation MV = PYbecomes a useful

    theory of the effects of money. The bar over the V

    means that velocity is fixed.

    The quantity equation can be viewed as a definition:

    it defines velocity Vas the ratio of nominal GDP, PY,

    to the quantity of money M. But, if we make theassumption that the velocity of money is constant,

    then the quantity equation MV = PYbecomes a useful

    theory of the effects of money. The bar over the V

    means that velocity is fixed.

    So, lets hold it constant! Remember

    a change in the quantity of money causes

    a proportional change in nominal GDP.

    MV = PY

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    Three building blocks that determine the economys overall level

    of prices:

    The factors of production and the production function determine

    the level of output Y.

    The money supply determines the nominal value of output,PY.

    This follows from the quantity equation and the assumption that

    the velocity of money is fixed.The price levelPis then the ratio of the nominal value of output,

    PY, to the level of output Y.

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    In other words, if Y is fixed (from Chapter 3) because it depends

    on the growth in the factors of production and on technological

    progress, and we just made the assumption that velocity is constant,

    or in percentage change form:

    MV = PY

    % Change in M + % Change in V = % Change in P + % Change in Y% Change in M + % Change in V = % Change in P + % Change in Y

    if V is fixed and Y is fixed, then it reveals that % Change in M is what

    induces % Changes in P.

    The quantity theory of money states that the central bank, whichcontrols the money supply, has the ultimate control over the inflation

    rate. If the central bank keeps the money supply stable,the price level

    will be stable. If the central bank increases the money supply rapidly,

    the price level will rise rapidly.

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    The revenue raised through the printing of money is calledseigniorage. When the government prints money to finance

    expenditure, it increases the money supply. The increase in

    the money supply, in turn, causes inflation. Printing money to

    raise revenue is like imposing an inflation tax.

    The revenue raised through the printing of money is called

    seigniorage. When the government prints money to finance

    expenditure, it increases the money supply. The increase in

    the money supply, in turn, causes inflation. Printing money to

    raise revenue is like imposing an inflation tax.

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    Economists call the interest rate that the bank pays the

    Nominal interest rate and the increase in your purchasing power the

    real interest rate.

    This shows the relationship between the nominal interest rate

    and the rate of inflation, where r is real interest rate, i is thenominal interest rate and is the rate of inflation, and remember

    that is simply the percentage change of the price levelP.

    Economists call the interest rate that the bank pays the

    Nominal interest rate and the increase in your purchasing power the

    real interest rate.

    This shows the relationship between the nominal interest rate

    and the rate of inflation, where r is real interest rate, i is the

    nominal interest rate and is the rate of inflation, and remember

    that is simply the percentage change of the price levelP.

    rr==ii--

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    The Fisher Equation illuminates the distinction betweenthe real and nominal rate of interest.

    Fisher Equation:Fisher Equation: ii == rr++

    Actual (Market)Actual (Market)

    nominal rate ofnominal rate ofinterestinterest

    Real rateReal rateof interestof interest

    InflationInflation

    The one-to-one relationship

    between the inflation rate and

    the nominal interest rate is

    the Fisher effect.

    It shows that the nominal interest can change for two reasons: because

    the real interest rate changes or because the inflation rate changes.

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    % Change in M+ % Change in V= % Change inP+ % Change in Y

    % Change in M+ % Change in V= + % Change in Y

    i =r+

    The quantity theory and the Fisher equation together tell us how money

    growth affects the nominal interest rate. According to the quantity

    theory, an increase in the rate of money growth of one percent causes a

    1% increase in the rate of inflation.

    According to the Fisher equation, a 1% increase in the rate of inflation

    in turn causes a 1% increase in the nominal interest rates.

    Here is the exact link between our two familiar equations: The quantityequation in percentage change form and the Fisher equation.

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    The real interest rate the borrower and lender expect when a loan is

    made is called the ex ante real interest rate. The real interestrate that is actually realized is called the ex post real interest rate.

    Although borrowers and lenders cannot predict future inflation with

    certainty, they do have some expectation of the inflation rate. Let

    denote actual future inflation and

    e

    the expectation of future inflation.The ex ante real interest rate is i - e, and the ex postreal interest rate is

    i - . The two interest rates differ when actual inflation differs from

    expected inflation e.

    How does this distinction modify the Fisher effect? Clearly the nominal

    interest rate cannot adjust to actual inflation, because actual inflation

    is not known when the nominal interest rate is set. The nominal interest

    rate can adjust only to expected inflation. The next slide presents a

    more precise version of the the Fisher effect.

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    ii == rr++ eeii == rr++ ee

    The ex ante real interest rate r is determined by equilibrium in the

    market for goods and services, as described by the model in

    Chapter 3. The nominal interest rate i moves one-for-one with

    changes in expected inflation e.

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    The quantity theory (MV = PY) is based on a simple money demand

    function: it assumes that the demand for real money balances is

    proportional to income. But, we need another determinant of the

    quantity of money demandedthe nominal interest rate.

    The nominal interest rate is the opportunity cost of holding money:

    it is what you give up by holding money instead of bonds. So, the newgeneral money demand function can be written as:

    (M/P)d= L(i, Y)

    This equation states that the demand for the liquidity of real money

    balances is a function of income (Y) and the nominal interest rate (i).

    The higher the level of income Y, the greater the demand for real

    money balances.

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    As the quantity theory of money explains, money supply and money

    demand together determine the equilibriumprice level. Changes in

    theprice level are, by definition, the rate of inflation. Inflation, in

    turn, affects the nominal interest rate through the Fisher effect.

    But now, because the nominal interest rate is the cost of holding

    money, the nominal interest rate feeds back into the demand for money.

    MoneyS

    upply&MoneyD e

    mand

    Inflation&theFis

    herEf

    fect

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    ChapterFour 26

    The inconvenience of reducing moneyholding is metaphorically called the

    shoe-leather costof inflation, because

    walking to the bank more often induces

    ones shoes to wear out more quickly.

    When changes in inflation require printing

    and distributing new pricing information,

    then, these costs are called menu costs.

    Another cost is related to tax laws. Often

    tax laws do not take into consideration

    inflationary effects on income.

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    ChapterFour 27

    Unanticipated inflation is unfavorable because it arbitrarily

    redistributes wealth among individuals.

    For example, it hurts individuals on fixed pensions. Often these

    contracts were not created in real terms by being indexed to a

    particular measure of the price level.

    There is a benefit of inflationmany economists say that some

    inflation may make labor markets work better. They say it

    greases the wheels of labor markets.

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    Hyperinflation is defined as inflation that exceeds

    50 percent per month, which is just over 1percent aday.

    Costs such as shoe-leather and menu costs are much

    worse with hyperinflationand tax systems are

    grossly distorted. Eventually, when costs become toogreat with hyperinflation, the money loses its role as

    store of value, unit of account and medium of

    exchange. Bartering or using commodity money

    becomes prevalent.

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    Economists call the separation of the determinants of real

    and nominal variables the classical dichotomy. A

    simplification of economic theory, it suggests that changes in

    the money supply do not influence real variables.

    This irrelevance of money for real variables is called

    monetary neutrality. For the purpose of studying long-run

    issues--monetary neutrality is approximately correct.

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    Inflation

    Hyperinflation

    Money

    Store of value

    Unit of account

    Medium of exchangeFiat money

    Commodity money

    Gold Standard

    Money supply

    Monetary policy

    Central bank

    Federal Reserve

    Open-market operations

    Currency

    Demand deposits

    Quantity equationTransactions velocity

    of money

    Income velocity

    of money

    Real money balances

    Money demand function

    Quantity theory of money

    Seigniorage

    Nominal and

    real interest rates

    Fisher equation

    Fisher effect

    Ex ante and ex postreal interest rates

    Shoeleather costs

    Menu costs

    Real and nominalvariables

    Classical dichotomy

    Monetary neutrality