Functions of money

Chapter Four 1
CHAPTER 4
Money and Inflation
®
A PowerPointTutorial
To Accompany
MACROECONOMICS, 7th. Edition
N. Gregory Mankiw
Tutorial written by:
Mannig J. Simidian
B.A. in Economics with Distinction, Duke University
M.P.A., Harvard University Kennedy School of Government
M.B.A., Massachusetts Institute of Technology (MIT) Sloan School of Management

Chapter Four 2
Stock of assets
Used for transactions
A type of wealth
Money
As a medium of exchange, money is used to buy goods and
services. The ease at which an asset can be converted into a
medium of exchange and used to buy other things is sometimes
called an asset’s liquidity. Money is the economy’s most liquid
asset.

Chapter Four 3
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.
Here is a great illustration of the power of inflation:
In 1970, the New York Times cost 15 cents, the median price of a
single-family home was $23,400, and the average wage in
manufacturing was $3.36 per hour. In 2008, the Times cost
$1.50, the price of a home was $183,300, and the average wage
was $19.85 per hour.

Chapter Four 4
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 money’s liquidity.

Chapter Four 5
Money is the yardstick with which we measure
economic transactions. Without it, we would be
forced to barter. However, barter requires the
double coincidence of wants—the unlikely
situation of two people, each having a good that
the other wants at the right time and place to make
an exchange.

Chapter Four 6
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 a gold standard.

Chapter Four 7
The government may get involved in
the monetary system to help people
reduce transaction costs. Using gold as
a currency is costly because the purity
and weight has to be verified. Also,
coins are more widely recognized than
gold bullion.
The government then accepts gold from the public
in 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 itself—plus, 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.

Chapter Four 8
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.

Chapter Four 9
To expand the money supply:
The Federal Reserve buys U.S. Treasury Bonds
and pays for them with new money.
To reduce the money supply:
The Federal Reserve sells U.S. Treasury Bonds
and receives the existing dollars and then destroys
them.

Chapter Four 10
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.

Chapter Four 11
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
V in 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.

Chapter Four 12
Transactions and output are related, because the more the
economy produces, the more goods are bought and sold.
If Y denotes the amount of output and P denotes the price of one
unit of output, then the dollar value of output is PY. 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 income
velocity of money, which tells us the number of times a dollar
bill enters someone’s income in a given time.

Chapter Four 13
Let’s now express the quantity of money in terms of the quantity of
goods and services it can buy. This amount, M/P is 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 determinants
of 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 hold
for every dollar they earn. This equation states that the quantity of real
money balances demanded is proportional to real income.
(M/P)d = k Y

Chapter Four 14
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 (V is small).
Conversely, when people want to hold only a little money (k is
small), money changes hands frequently (V is large). In other
words, the money demand parameter k and the velocity of money V
are opposite sides of the same coin.

Chapter Four 15
The quantity equation can be viewed as a definition:
it defines velocity V as the ratio of nominal GDP, PY,
to the quantity of money M. But, if we make the
assumption that the velocity of money is constant,
then the quantity equation MV = PY becomes a useful
theory of the effects of money. The bar over the V
means that velocity is fixed.
So, let’s hold it constant! Remember
a change in the quantity of money causes
a proportional change in nominal GDP.
MV = PY

Chapter Four 16
Three building blocks that determine the economy’s 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 level P is then the ratio of the nominal value of output,
PY, to the level of output Y.

Chapter Four 17
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
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, which
controls 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.

Chapter Four 18
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.

Chapter Four 20
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 p is the rate of inflation, and remember
that p is simply the percentage change of the price level P.
r = i - π

Chapter Four 21
The Fisher Equation illuminates the distinction between
the real and nominal rate of interest.
Fisher Equation: i = r + p
Actual (Market)
nominal rate of
interest
Real rate
of interest
Inflation
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.

Chapter Four 22
% Change in M + % Change in V = % Change in P + % Change in Y
% Change in M + % Change in V = p + % Change in Y
i = r + p
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 quantity
equation in percentage change form and the Fisher equation.

Chapter Four 23
The real interest rate the borrower and lender expect when a loan is
made is called the ex ante real interest rate. The real interest
rate 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 p
denote actual future inflation and pe the expectation of future inflation.
The ex ante real interest rate is i - pe, and the ex post real interest rate is
i - p. The two interest rates differ when actual inflation p differs from
expected inflation pe.
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.

Chapter Four 24
i = r + Ep
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 Ep.

Chapter Four 25
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 demanded—the 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 new
general 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.

Chapter Four 26
As the quantity theory of money explains, money supply and money
demand together determine the equilibrium price level. Changes in
the price 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.
MoneySupply&MoneyDemand
Inflation&theFisherEffect

Chapter Four 27
The inconvenience of reducing money
holding is metaphorically called the
shoe-leather cost of inflation, because
walking to the bank more often induces
one’s 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.

Chapter Four 28
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 inflation—many economists say that some
inflation may make labor markets work better. They say it
“greases the wheels” of labor markets.

Chapter Four 29
Hyperinflation is defined as inflation that exceeds
50 percent per month, which is just over 1percent a
day.
Costs such as shoe-leather and menu costs are much
worse with hyperinflation—and tax systems are
grossly distorted. Eventually, when costs become too
great 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.

Chapter Four 30
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.

Chapter Four 31
Inflation
Hyperinflation
Money
Store of value
Unit of account
Medium of exchange
Fiat money
Commodity money
Gold Standard
Money supply
Monetary policy
Central bank
Federal Reserve
Open-market operations
Currency
Demand deposits
Quantity equation
Transactions 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 post
real interest rates
Shoeleather costs
Menu costs
Real and nominal
variables
Classical dichotomy
Monetary neutrality

Chapter Four 32
Source
• Macroeconomics: Theory and Policy-Vanita Agarwal, Pearson Publication
• Macro Economics-D.M. Mithani, Himalaya Publishing House, Mumbai
• Macro Economics-H.L.Ahuja, S. Chand and Company Ltd., Delhi
• Macro Economic theory-M.C.Vaish, Vikas Publishing House, Delhi
• Macro Economic Analysis-Edward Shapiro, Galyotia Publications (P) Ltd
• Macro Economics-M.L. Seth, Lakshmi Narayan Agarwal Publishers

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