Money and Inflation Money Demand. Price Indices: P t Two most commonly used price indices are GDP...
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Transcript of Money and Inflation Money Demand. Price Indices: P t Two most commonly used price indices are GDP...
Money and Inflation
Money Demand
Price Indices: Pt
• Two most commonly used price indices are GDP Deflator and Consumer Price Index (CPI)
• The CPI is the price of a representative market basket of goods relative to the price of that same basket during a benchmark/base year (multiplied by 100).
• The GDP deflator is the ratio of nominal GDP to Real GDP (multiplied by 100).
Nominal GDP GDPP GDPDeflator
Real GDP Y
Hong Kong CPI vs. GDP Deflator
0
20
40
60
80
100
120
1975
1977
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
CPI
GDP Deflator
CPI vs. GDP Deflator
• CPI is calculated monthly, GDP deflator is calculated quarterly.
• CPI measures the price of consumer goods. GDP deflator measures the price of all goods produced including investment or government goods.
• CPI measures the change in price of a constant market basket. Market basket of GDP deflator changes as goods produced changes.
The Data
• Data on money supply is inevitably measured by the central bank and usually the data is available for free.
Example: Hong Kong Monetary Authority
• Data on
Listing of Central Bank Websites.
What is a central bank?• Central banks have two main roles:
– Banker to the government• Manage many financial assets of the government.• Monopoly on the issue of banknotes/currency (true
almost everywhere, but not HK)• Arm of government policymaking
– Banker to commercial banks.• Operate the Payment System• Regulate Banking System• Lender of Last Resort during a crisis
• Central Bank: A special
governmental organization or quasi-governmental institution within the financial system that controls the medium of exchange.
Economy Central Bank
HK Hong Kong Monetary Authority
USA Federal Reserve
EU European Central Bank
PRC People’s Bank of China
UK, Canada, Japan, Korea
Bank of ….
Readings
• Money Demand– Branson, Chapter 14, especially p.335-339– Sachs Chapter 8
• Inflation
Money
• Financial Asset Used in Transactions
• Legal Tender: Government accepts money as payment for taxes and a transfer of money as a settlement for a contract.
Characteristics of Money
1.Medium of Exchange – Token that can be offered as a payment for goods.
2.Unit of Account – All goods will have a value in money and, thus, can be used to measure all goods
3.Store of Value – If money is to be accepted for goods today it must have durable value. (Money is an Asset).
Two categories of money
1. Definitive Money (sometimes known as monetary base): Money that can be used immediately for transactions without conversion to more basic forms of money.
– Currency+ Reserve accounts
2. Broad Money: A set of assets, typically some form of bank deposit, which can be easily converted to definitive money.
– Checking Accounts, Savings Accounts, Liquid Time Deposits and CD’s
Categories of Broad Money
M1
M2
M3
M1 Currency + Checking Acct.
M2 +Savings Acct.
+ “More Liquid” Time Deposit
M3 + “Less Liquid” Time Deposit
China
-0.05
0
0.05
0.1
0.15
0.2
0.25
0.3
1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010
Inflation Money
Velocity
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010
Mpney Types in HK
M1
M2
M3
Incremental M3 is trivial in HK
HK$ Money CategoriesSource: HKMA http://www.info.gov.hk
Legal tender notes
and coins in hands of public
Demand deposits
with licensed
banks M1
145,852 207,444 353,297
Savings deposits
with licensed
banks
Time deposits
with licensed
banks
NCDs issued by licensed
banks and held
by public M2
788,211 1,288,193 76,342 2,506,043
Broad Money vs. Narrow Money
• Broad money has grown much faster than narrow money.
• Narrow money is money directly controlled by the government.
• Broad money includes money printed by the government plus deposits at banks.
• Money multiplier is ratio of broad money to narrow money.
Categories
• M0 = Reserves + Cash
• M2 = Cash + Demand Deposits + Savings Deposits
11
C D SMM
R CC SD DR CD D
Determinant of the Multiplier.
• The greater is the currency-deposit ratio the smaller is the multiplier.
• The greater is the savings to demand deposit ratio the greater is the multiplier.
• The higher is the fraction of deposits kept on reserve, the smaller is the multiplier.
Money Multiplier in China
0
4000
8000
12000
16000
20000
24000
4
6
8
10
12
14
90 91 92 93 94 95 96 97 98 99 00 01 02 03 04
MULTIPLIER M2 M0
Monetary Theory• Two Assets
• Money (M) can be used for transactions but pays no interest.
• Bonds (B) will pay a nominal interest rate of i but cannot be used for transactions.
• If you buy a bond with $1, you will get $(1+i) from the issuer of the bond.
Liquidity Problem
• The household earns an income equal to (PQ) which they will spend evenly over the course of a month.
• If they keep their whole income in their back-pocket to do shopping they will lose interest income.
• If they buy interest earning bonds with all of their income, they will have to make many costly trips to the bank when they want to buy goods. The cost of each trip to the bank will be P∙b.
Liquidity Strategy
• Household strategy will be to keep a share of their income in the form of money, M*, and put the rest into bonds.
• They will spend that money until it is
gone, return to the bank, and convert bonds into M* again.
Choose # of trips to the bank.
• The household will have to make trips to the bank.
• The average balances held by the household will be
*
P Y
M
*
2
M
Money holdings over the month
time
Money
M*
*
2
M
Bond holdings over the month
time
Bonds
Costs of Strategy
• If the household is on average holding they will forego the opportunity to
earn interest equal to
• The total transactions costs of converting their bonds into cash is
*
2
M
*
2
Mi
*
P YP b
M
Minimize Total Costs
• Total liquidity costs of holding M*
• Choose the number of trips that would minimize the total costs (including interest costs).
*
* 2
P Y MP b i
M
Cost Minimization
• Trade-off: The more trips you make, the more interest you will earn but the less will be the transactions cost. – Choosing the number of trips is equivalent to
choosing M*
Optimal Money Demand
• Money demand is an increasing function of the price level, and output and a decreasing function of interest rates.
1
2
**
**
*2*
*
min ( )2
2' 0
2
2
M
P Y MTC M P b i
M
P Y i bYTC P b M P
iM
M bY
P i
Money Demand
• Intuition: The greater is P and Y, the greater are the need for money for transactions. The greater is i, the greater the interest rate costs.
• Money Demand is typically represented in terms of money divided by the price level, referred to as real balances. M
P
Money Demand Curve
i
M
P
Y↑
Velocity
• Velocity is defined as the speed at which money circulates or as the number of transactions that each unit of money is used in per period.
• Velocity is measured as the ratio of current dollar GDP to the money supply.
t t t
tt
t
PY YV
MMP
BT Theory and Velocity
• According to Baumol-Tobin theory, money velocity should grow with output.
• Asian experience suggests the opposite.• Possible reason: If b represents the costs
of goods that could have been produced in the absence of a trip to the bank, b would likely grow with productivity.
Long Run
• Demand for real balances a proportional function of GDP as well as a function of interest rates.
• The higher is the interest rate, the more willing the household is to incur the costs of not holding cash.
1( ) .t tt t t
tt t
M MY f i ex v Y
iP P
Empirical Studies of Money Demand
• The Baumol Tobin model suggests a log-linear form.
0 1 2
0 1 2
ln ln ln
ln
tt t
t
t t
Ma a Y a i
P
m a a y a i
Empirical Studies of Money Demand
• The Baumol Tobin model suggests a log-linear form.
• Empirical reality suggests that this does not capture short-term endogeneity between money, interest rates, and output.
0 1 2
0 1 2
ln ln ln
ln
tt t
t
t t
Ma a Y a i
P
m a a y a i
Inflation
• We are concerned with explaining the rate of change of the price level or the inflation rate
• First difference the log of the money demand function
1
1
lnt tt t
t
P P PP
P P
log log logt t t t
M Y it t t t
M Y i
g g g
Money Growth and the Nominal Interest Rate
• Define the real interest rate, as the amount of extra goods that can be gained, if you give up 1 good today.
11
11
111 1
1
1
t
t
tt t t P
t P
tt t t
t
ir i P
P
ir i
Long Run Inflation Rate
• Assume that there is a long run inflation rate and real variables are unaffected by inflation in the long run.
Δln i = 0
• Then long run inflation is money growth minus output growth.
M Yg g
Neo-classical Dichotomy
• Assume given Y and r which is not affected by money supply or growth rate. – Money is just paper which should not affect real
outcomes.
• Then, in the long run, we can solve for the price level as a function of the level of money and output and their growth rates (in addition to the real interest rate).
Price Level
• Then, in the long run, we can solve for the price level as a function of the level of money and output and their growth rates (in addition to the real interest rate).
1 M YMP r g g
v Y
Socially Optimal Inflation Rate
• Friedman Rule: Socially optimal inflation rate sets the interest rate equal to zero.
• If the interest rate were zero, workers in Baumol and Tobin model would keep all of their pay in cash and not have to make any costly trips to the bank.
• Set money growth gM = r - gY
Zero Lower Bound
• Friedman rule interest rate is also theoretical lower bound on the interest rate.
• Nominal interest rates on bonds cannot go below 0 because there is a freely available asset that always pays an interest rate at least equal to zero.
• Main objection to Friedman rule is that if we have a long run zero interest rate, the central bank will never be in a position to reduce interest rates.
ZIRP: Japan
Jul-1985 Jul-1988 Jul-1991 Jul-1994 Jul-1997 Jul-2000 Jul-2003 Jul-2006
10
9
8
7
6
5
4
3
2
1
0
JP: Call Rate: Uncollaterized: Overnight% pa
Why inflation?
• If zero or negative inflation is socially optimal, why is it so pervasive.
• Possible reason (especially in developing world): It is a source of government revenue (called seignorage).
• When the government prints new currency, it can use the money to pay off its old debts or buy new goods.
Real Seignorage
• Amount of goods purchased by the printing of money
• The higher is the money growth rate, the higher is the fraction of real balances that can be collected through seignorage.
1 1 1
1 1
Mt t t t t t
Mt t t t
M M M M M M g M
P M M P g P
Substitution Effect• Higher money growth reduces demand for
real balances. Higher inflation will mean higher interest rates, which will mean that people will spend money more quickly which drives up prices at a given output level.
• Assume r = gY, i=gM
1
1 1 1
MM MM
M M M
gg M gg Y Y
g P g g
Inflation Tax
% of Y
gM
How does declining money demand reduce the seignorage revenue?
• Consumers facing high inflation and thus high interest rates, want to hold relatively low money balances and are willing to make more trips to the bank.
• With a given amount of money chasing a given amount of output more quickly, prices will be higher and the amount that any newly printed dollar will buy will be reduced.
Hyper Inflation
• Hyperinflation occurs when inflation increases at a rate of 50% or more per month.
• In the long run, this rate of inflation is counter-productive to the government in terms of raising seignorage.
• Usually, a sign of a government trying to maximize short-term revenue by accelerating money growth faster than inflationary expectations. – Prices in China rose 250000% in Chungking from
1937-1945.
Current Chinese Inflation Rates
• Between 1984 and 1996, China frequently had very high inflation rates, reaching to levels of 20% or more per year.
• Since then inflation has been steady or decreasing.
Chinese CPI and Broad Money
150
200
250
300
350
400
0
5000
10000
15000
20000
25000
90 91 92 93 94 95 96 97 98 99 00 01 02 03 04
CPICHINA M2
Velocity in China
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
1979
1981
1983
1985
1987
1989
1991
1993
1995
1997
1999
2001
2003
M1 Velocity
M2 Velocity
Deposits are major channel for saving in PRC
Bank Deposits as Share of GDP
0.0%
20.0%
40.0%
60.0%
80.0%
100.0%
120.0%
140.0%
160.0%
180.0%
200.0%
China USA
Money & Inflation: 1975-1994
Inflation & Money OECD Countries
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18
Average Money Growth
Ave
rag
e In
flat
ion
Rat
e
Causes of Extremely Rapid Inflation
• Government generates revenues by printing new money (referred to as seignorage).
• Government facing borrowing constraints may be forced to rely on inflation tax for deficit financing.
Israel 1970-1990
Inflation
0
50
100
150
200
250
300
350
400
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
Israel 1970-1990Surplus (% of GDP)
-30.00%
-25.00%
-20.00%
-15.00%
-10.00%
-5.00%
0.00%
5.00%
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
Hyperinflation
Mid-term Exam III
• Monday, December 13th 4:30-7:30PM
• Lecture Theater A
• Semi-open Book (Bring 1 A4 size paper with handwritten notes)) also calculator and writing instruments.
• Coverage. Lecture notes including this one.
• Lecture Theater A, 4:30-7:30