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11/21/2016 1 © 2009 South-Western, a part of Cengage Learning, all rights reserved C H A P T E R Money Growth and Inflation Economics P R I N C I P L E S O F N. Gregory Mankiw Premium PowerPoint Slides by Ron Cronovich 12 In this chapter, look for the answers to these questions: How does the money supply affect inflation and nominal interest rates? Does the money supply affect real variables like real GDP or the real interest rate? How is inflation like a tax? What are the costs of inflation? How serious are they? 1 2 Introduction This chapter introduces the quantity theory of money to explain one of the Ten Principles of Economics from Chapter 1: Prices rise when the govt prints too much money. Most economists believe the quantity theory is a good explanation of the long run behavior of inflation. Inflation Increase in the overall level of prices Deflation Decrease in the overall level of prices Hyperinflation Extraordinarily high rate of inflation Inflation 3 Inflation Economy-wide phenomenon Concerns the value of economy’s medium of exchange Inflation - rise in the price level Lower value of money Each dollar - buys a smaller quantity of goods and services

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1

© 2009 South-Western, a part of Cengage Learning, all rights reserved

C H A P T E R

Money Growth and Inflation

Economics P R I N C I P L E S O F

N. Gregory Mankiw

Premium PowerPoint Slides

by Ron Cronovich

12 In this chapter,

look for the answers to these questions:

How does the money supply affect inflation and

nominal interest rates?

Does the money supply affect real variables like

real GDP or the real interest rate?

How is inflation like a tax?

What are the costs of inflation? How serious are

they?

1

2

Introduction This chapter introduces the quantity theory of money to

explain one of the Ten Principles of Economics from

Chapter 1:

Prices rise when the govt prints too much money.

Most economists believe the quantity theory is a good

explanation of the long run behavior of inflation.

Inflation

Increase in the overall level of prices

Deflation

Decrease in the overall level of prices

Hyperinflation

Extraordinarily high rate of inflation

Inflation

3

Inflation

Economy-wide phenomenon

Concerns the value of economy’s medium of

exchange

Inflation - rise in the price level

Lower value of money

Each dollar - buys a smaller quantity of goods

and services

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2

4

The Value of Money

P = the price level

(e.g., the CPI or GDP deflator)

P is the price of a basket of goods, measured in

money.

1/P is the value of $1, measured in goods.

Example: basket contains one candy bar.

If P = $2, value of $1 is 1/2 candy bar

If P = $3, value of $1 is 1/3 candy bar

Inflation drives up prices and drives down the

value of money.

5

The Classical Theory of Inflation

Money demand

Reflects how much wealth people want to hold in

liquid form

Depends on

Credit cards

Availability of ATM machines

Interest rate

Average level of prices in economy

Demand curve – downward sloping

6

Money Demand (MD)

Refers to how much wealth people want to hold

in liquid form.

Depends on P:

An increase in P reduces the value of money,

so more money is required to buy g&s.

Thus, quantity of money demanded is negatively

related to the value of money and positively

related to P, other things equal.

(These “other things” include real income,

interest rates, availability of ATMs.)

7

The Classical Theory of Inflation

Money supply (MS)

Determined by the Fed, the banking system and

consumers in the real world

Supply curve – vertical

In the long run

Overall level of prices adjusts to:

The level at which the demand for money equals

the supply

In this model, we assume the Fed precisely

controls MS and sets it at some fixed amount.

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MONEY GROWTH AND INFLATION 8

The Money Supply-Demand Diagram

Value of Money, 1/P

Price Level, P

Quantity of Money

1 1

¾ 1.33

½ 2

¼ 4

As the value of

money rises, the

price level falls.

MONEY GROWTH AND INFLATION 9

The Money Supply-Demand Diagram

Value of Money, 1/P

Price Level, P

Quantity of Money

1

¾

½

¼

1

1.33

2

4

MS1

$1000

The Fed sets MS

at some fixed value,

regardless of P.

MONEY GROWTH AND INFLATION 10

The Money Supply-Demand Diagram

Value of Money, 1/P

Price Level, P

Quantity of Money

1

¾

½

¼

1

1.33

2

4 MD1

A fall in value of money

(or increase in P)

increases the quantity

of money demanded:

MONEY GROWTH AND INFLATION 11

MS1

$1000

Value of Money, 1/P

Price Level, P

Quantity of Money

1

¾

½

¼

1

1.33

2

4

The Money Supply-Demand Diagram

MD1

P adjusts to equate

quantity of money

demanded with

money supply.

eq’m price level

eq’m value

of money

A

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12

How the Supply and Demand for Money Determine the

Equilibrium Price Level

Quantity of Money 0

(high)

(low)

Value of

Money, 1/P

1

¾

½

¼

Price

Level, P

1

1.33

2

4

(high)

(low)

Money

Demand

Quantity fixed

by the Fed

Money Supply

A

Equilibrium

value of

money

Equilibrium

price level

The horizontal axis shows the quantity of money. The left vertical axis shows the value of money, and

the right vertical axis shows the price level. The supply curve for money is vertical because the quantity

of money supplied is fixed by the Fed. The demand curve for money is downward sloping because

people want to hold a larger quantity of money when each dollar buys less. At the equilibrium, point A,

the value of money (on the left axis) and the price level (on the right axis) have adjusted to bring the

quantity of money supplied and the quantity of money demanded into balance.

Effects of a Monetary Injection

Economy – in equilibrium

The Fed doubles the supply of money

Prints bills

Drops them on market

Or: The Fed – open-market purchase

New equilibrium

Supply curve shifts right

Value of money decreases

Price level increases

13

MONEY GROWTH AND INFLATION 14

MS1

$1000

The Effects of a Monetary Injection

Value of Money, 1/P

Price Level, P

Quantity of Money

1

¾

½

¼

1

1.33

2

4 MD1

eq’m price level

eq’m value

of money

A

MS2

$2000

B

Then the value

of money falls,

and P rises.

Suppose the Fed

increases the

money supply.

15

An Increase in the Money Supply

Quantity of

Money

0

(high)

(low)

Value of

Money, 1/P

1

¾

½

¼

Price

Level, P

1

1.33

2

4

(high)

(low)

Money

Demand

M1

MS1

A

When the Fed increases the supply of money, the money supply curve shifts from MS1 to MS2.

The value of money (on the left axis) and the price level (on the right axis) adjust to bring supply

and demand back into balance. The equilibrium moves from point A to point B. Thus, when an

increase in the money supply makes dollars more plentiful, the price level increases, making

each dollar less valuable.

M2

MS2

B

1. An increase

in the money

supply . . .

2. . . .

decreases

the value of

money . . .

3. . . . and

increases the

price level.

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Effects of a Monetary Injection Quantity theory of money

The quantity of money available in the economy

determines (the value of money) the price level

Growth rate in quantity of money available

determines the inflation rate

16

Adjustment process

Excess supply of money

Increase in demand of goods and services

Price of goods and services increases

Increase in price level

Increase in quantity of money demanded

New equilibrium 17

The Adjustment Process, Alternatively

How does this work? Short version:

At the initial P, an increase in MS causes

excess supply of money.

People get rid of their excess money by spending

it on g&s or by loaning it to others, who spend it.

Result: increased demand for goods.

But supply of goods does not increase,

so prices must rise.

(Other things happen in the short run, which we will

study in later chapters.)

Result from graph: Increasing MS causes P to rise.

Classical Dichotomy

Nominal variables

Variables measured in monetary units

Dollar prices

Real variables

Variables measured in physical units

Relative prices, real wages, real interest rate

Classical dichotomy

Theoretical separation of nominal and real

variables

18 MONEY GROWTH AND INFLATION 19

Real vs. Nominal Variables

Nominal variables are measured in monetary

units.

Examples: nominal GDP,

nominal interest rate (rate of return measured in $)

nominal wage ($ per hour worked)

Real variables are measured in physical units.

Examples: real GDP,

real interest rate (measured in output)

real wage (measured in output)

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MONEY GROWTH AND INFLATION 20

Real vs. Nominal Variables

Prices are normally measured in terms of money.

Price of a compact disc: $15/cd

Price of a pepperoni pizza: $10/pizza

A relative price is the price of one good relative to

(divided by) another:

Relative price of CDs in terms of pizza:

price of cd

price of pizza

$15/cd

$10/pizza =

Relative prices are measured in physical units,

so they are real variables.

= 1.5 pizzas per cd

MONEY GROWTH AND INFLATION 21

Real vs. Nominal Wage

An important relative price is the real wage:

W = nominal wage = price of labor, e.g., $15/hour

P = price level = price of g&s, e.g., $5/unit of output

Real wage is the price of labor relative to the price

of output:

W

P = 3 units output per hour

$15/hour

$5/unit of output =

Classical Dichotomy Developments in the monetary system

Influence nominal variables

Irrelevant for explaining real variables

Monetary neutrality

Changes in money supply don’t affect real variables

Not completely realistic in short-run

Correct in the long run

22

If central bank doubles the money supply, classical

thinkers contend that:

all nominal variables – including prices – will double.

all real variables – including relative prices – will

remain unchanged.

23

The Neutrality of Money Monetary neutrality: the proposition that changes

in the money supply do not affect real variables

Doubling money supply causes all nominal prices

to double; what happens to relative prices?

Initially, relative price of cd in terms of pizza is

price of cd

price of pizza = 1.5 pizzas per cd

$15/cd

$10/pizza =

After nominal prices double,

price of cd

price of pizza = 1.5 pizzas per cd

$30/cd

$20/pizza =

The relative price

is unchanged.

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MONEY GROWTH AND INFLATION 24

The Neutrality of Money

Similarly, the real wage W/P remains unchanged, so

quantity of labor supplied does not change

quantity of labor demanded does not change

total employment of labor does not change

The same applies to employment of capital and

other resources.

Since employment of all resources is unchanged,

total output is also unchanged by the money supply.

Monetary neutrality: the proposition that changes

in the money supply do not affect real variables

MONEY GROWTH AND INFLATION 25

The Velocity of Money

Velocity of money: the rate at which money

changes hands

Notation:

P x Y = nominal GDP

= (price level) x (real GDP)

M = money supply

V = velocity

Velocity formula: V = P x Y

M

Velocity & the Quantity Equation

Quantity equation: M × V = P × Y

Quantity of money (M)

Velocity of money (V)

Dollar value of the economy’s output of goods and

services (P × Y )

Shows: an increase in quantity of money

Must be reflected in:

– Price level must rise

– Quantity of output must rise

– Velocity of money must fall

26 27

The Velocity of Money: An Example

Example with one good: pizza.

In 2008,

Y = real GDP = 3000 pizzas

P = price level = price of pizza = $10

P x Y = nominal GDP = value of pizzas = $30,000

M = money supply = $10,000

V = velocity = $30,000/$10,000 = 3

The average dollar was used in 3 transactions (it

changed hands 3 times).

Velocity formula: V = P x Y

M

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One good: corn.

The economy has enough labor, capital, and land

to produce Y = 800 bushels of corn.

V is constant.

In 2008, MS = $2000, P = $5/bushel.

Compute nominal GDP and velocity in 2008.

A C T I V E L E A R N I N G 1

Exercise

28

A C T I V E L E A R N I N G 1

Answers

29

Given: Y = 800, V is constant,

MS = $2000 and P = $5 in 2005.

Compute nominal GDP and velocity in 2008.

Nominal GDP = P x Y = $5 x 800 = $4000

V = P x Y

M =

$4000

$2000 = 2

30

Nominal GDP, the Quantity of Money, and the Velocity of Money This figure shows

the nominal value

of output as

measured by

nominal GDP, the

quantity of money

as measured by

M2, and the

velocity of money

as measured by

their ratio. For

comparability, all

three series have

been scaled to

equal 100 in 1960.

Notice that nominal

GDP and the

quantity of money

have grown

dramatically over

this period, while

velocity has been

relatively stable.

MONEY GROWTH AND INFLATION 31

The Quantity Equation

Multiply both sides of formula by M:

M x V = P x Y

Called the quantity equation

Velocity formula: V = P x Y

M

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MONEY GROWTH AND INFLATION 32

The Quantity Theory in 5 Steps

1. V is stable.

2. So, a change in M causes nominal GDP (P x Y)

to change by the same percentage.

3. A change in M does not affect Y:

money is neutral,

Y is determined by technology & resources

4. So, P changes by same percentage as

P x Y and M.

5. Rapid money supply growth causes rapid inflation.

Start with quantity equation: M x V = P x Y

A C T I V E L E A R N I N G 2

Exercise

33

One good: corn. The economy has enough labor,

capital, and land to produce Y = 800 bushels of corn.

V is constant. In 2008, MS = $2000, P = $5/bushel.

For 2009, the Fed increases MS by 5%, to $2100.

a. Compute the 2009 values of nominal GDP and P.

Compute the inflation rate for 2008-2009.

b. Suppose tech. progress causes Y to increase to

824 in 2009. Compute 2008-2009 inflation rate.

A C T I V E L E A R N I N G 2

Answers

34

Given: Y = 800, V is constant,

MS = $2000 and P = $5 in 2008.

For 2009, the Fed increases MS by 5%, to $2100.

a. Compute the 2009 values of nominal GDP and P.

Compute the inflation rate for 2008-2009.

Nominal GDP = P x Y = M x V (Quantity Eq’n)

P = P x Y

Y

= $4200

800 = $5.25

= $2100 x 2 = $4200

Inflation rate = $5.25 – 5.00

5.00 = 5% (same as MS!)

A C T I V E L E A R N I N G 2

Answers

35

Given: Y = 800, V is constant,

MS = $2000 and P = $5 in 2005.

For 2009, the Fed increases MS by 5%, to $2100.

b. Suppose tech. progress causes Y to increase 3%

in 2009, to 824. Compute 2008-2009 inflation rate.

First, use Quantity Eq’n to compute P:

P = M x V

Y =

$4200

824 = $5.10

Inflation rate = $5.10 – 5.00

5.00 = 2%

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If real GDP is constant, then

inflation rate = money growth rate.

If real GDP is growing, then

inflation rate < money growth rate.

The bottom line:

Economic growth increases # of transactions.

Some money growth is needed for these extra

transactions.

Excessive money growth causes inflation.

A C T I V E L E A R N I N G 2

Summary and Lessons about the Quantity Theory of Money

36

Quantity Theory of Money

1. Velocity of money

Relatively stable over time

2. Changes in quantity of money, M

Proportionate changes in nominal value of

output (P × Y)

3. Economy’s output of goods & services, Y

Primarily determined by factor supplies

And available production technology

Money does not affect output

37

Quantity Theory of Money

4. Change in money supply, M

Induces proportional changes in the nominal

value of output (P × Y)

Reflected in changes in the price level (P)

5. Central bank - increases the money supply

rapidly

High rate of inflation

38

Money and prices during four hyperinflations

Hyperinflation

Inflation that exceeds 50% per month

Price level - increases more than a hundredfold

over the course of a year

Data on hyperinflation

Clear link between

Quantity of money

And the price level

39

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40

Money and Prices during Four Hyperinflations

This figure shows the quantity of money and the price level during four hyperinflations. (Note that

these variables are graphed on logarithmic scales. This means that equal vertical distances on

the graph represent equal percentage changes in the variable.) In each case, the quantity of

money and the price level move closely together. The strong association between these two

variables is consistent with the quantity theory of money, which states that growth in the money

supply is the primary cause of inflation. 41

Money and Prices during Four Hyperinflations

This figure shows the quantity of money and the price level during four hyperinflations. (Note that

these variables are graphed on logarithmic scales. This means that equal vertical distances on

the graph represent equal percentage changes in the variable.) In each case, the quantity of

money and the price level move closely together. The strong association between these two

variables is consistent with the quantity theory of money, which states that growth in the money

supply is the primary cause of inflation.

42

Money and Prices during Four Hyperinflations

This figure shows the quantity of money and the price level during four hyperinflations. (Note that

these variables are graphed on logarithmic scales. This means that equal vertical distances on

the graph represent equal percentage changes in the variable.) In each case, the quantity of

money and the price level move closely together. The strong association between these two

variables is consistent with the quantity theory of money, which states that growth in the money

supply is the primary cause of inflation. 43

© 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part,

except for use as permitted in a license distributed with a certain product or service or otherwise on a password-

protected website for classroom use.

Money and Prices during Four Hyperinflations

This figure shows the quantity of money and the price level during four hyperinflations. (Note that

these variables are graphed on logarithmic scales. This means that equal vertical distances on

the graph represent equal percentage changes in the variable.) In each case, the quantity of

money and the price level move closely together. The strong association between these two

variables is consistent with the quantity theory of money, which states that growth in the money

supply is the primary cause of inflation.

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44

The Inflation Tax

When tax revenue is inadequate and ability to

borrow is limited, govt may print money to pay

for its spending.

Almost all hyperinflations start this way.

The revenue from printing money is the

inflation tax: printing money causes inflation,

which is like a tax on everyone who holds

money.

45

The Fisher Effect Rearrange the definition of the real interest rate:

The real interest rate is determined by saving &

investment in the loanable funds market.

Money supply growth determines inflation rate.

So, this equation shows how the nominal interest rate is

determined.

Principle of monetary neutrality

An increase in the rate of money growth raises the rate

of inflation but does not affect any real variable

Real interest rate

Nominal interest rate

Inflation rate

+ =

46

The Fisher Effect

In the long run, money is neutral,

so a change in the money growth rate affects

the inflation rate but not the real interest rate.

- When the Fed increases the rate of money growth, the

long-run result is (i) higher inflation rate, and (ii) higher

nominal interest rate

So, the nominal interest rate adjusts one-for-one with

changes in the inflation rate.

This relationship is called the Fisher effect

after Irving Fisher, who studied it.

Real interest rate

Nominal interest rate

Inflation rate

+ =

47

The Nominal Interest Rate and the Inflation Rate

This figure uses annual data since 1960 to show the nominal interest rate on three-month

Treasury bills and the inflation rate as measured by the consumer price index. The close

association between these two variables is evidence for the Fisher effect: When the inflation rate

rises, so does the nominal interest rate.

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MONEY GROWTH AND INFLATION 48

The Fisher Effect & the Inflation Tax

The inflation tax applies to people’s holdings of

money, not their holdings of wealth.

The Fisher effect: an increase in inflation causes

an equal increase in the nominal interest rate,

so the real interest rate (on wealth) is unchanged.

Real interest rate

Nominal interest rate

Inflation rate

+ =

49

The Implications of Inflation

The inflation fallacy: most people think inflation

erodes real incomes (Inflation does not in itself

reduce people’s real purchasing power).

But inflation is a general increase in prices

of the things people buy and the things they sell

(e.g., their labor).

When prices rise

Buyers – pay more

Sellers – get more

In the long run, real incomes are determined by

real variables, not the inflation rate.

MONEY GROWTH AND INFLATION 50

The Costs of Inflation

Shoeleather costs: the resources wasted when

inflation encourages people to reduce their

money holdings

Includes the time and transactions costs of more

frequent bank withdrawals (can be substantial)

Menu costs: the costs of changing prices

Printing new menus, mailing new catalogs, etc.

51

The Costs of Inflation Relative-price Variability and the Misallocation

of Resources:

Relative prices - allocate scarce resources

Consumers – compare quality and prices of

various goods and services

Determine allocation of scarce factors of

production

Inflation - distorts relative prices

Consumer decisions – distorted

Markets - less able to allocate resources to their

best use

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52

The Costs of Inflation Tax distortions (Taxes – distort incentives)

- Many taxes - more problematic in the presence of inflation

- Tax treatment of capital gains

Capital gains – Profits:

Sell an asset for more than its purchase price

Higher inflation discourages people from saving

Exaggerates the size of capital gains, increases

the tax burden

- So, inflation causes people to pay more taxes

even when their real incomes don’t increase.

A C T I V E L E A R N I N G 3

Tax distortions

53

You deposit $1000 in the bank for one year.

CASE 1: inflation = 0%, nom. interest rate = 10%

CASE 2: inflation = 10%, nom. interest rate = 20%

a. In which case does the real value of your deposit

grow the most?

Assume the tax rate is 25%.

b. In which case do you pay the most taxes?

c. Compute the after-tax nominal interest rate,

then subtract off inflation to get the

after-tax real interest rate for both cases.

A C T I V E L E A R N I N G 3

Answers

54

a. In which case does the real value of your

deposit grow the most?

In both cases, the real interest rate is 10%,

so the real value of the deposit grows 10%

(before taxes).

Deposit = $1000.

CASE 1: inflation = 0%, nom. interest rate = 10%

CASE 2: inflation = 10%, nom. interest rate = 20%

A C T I V E L E A R N I N G 3

Answers

55

b. In which case do you pay the most taxes?

CASE 1: interest income = $100,

so you pay $25 in taxes.

CASE 2: interest income = $200,

so you pay $50 in taxes.

Deposit = $1000. Tax rate = 25%.

CASE 1: inflation = 0%, nom. interest rate = 10%

CASE 2: inflation = 10%, nom. interest rate = 20%

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A C T I V E L E A R N I N G 3

Answers

56

c. Compute the after-tax nominal interest rate,

then subtract off inflation to get the

after-tax real interest rate for both cases.

CASE 1: nominal = 0.75 x 10% = 7.5%

real = 7.5% – 0% = 7.5%

CASE 2: nominal = 0.75 x 20% = 15%

real = 15% – 10% = 5%

Deposit = $1000. Tax rate = 25%.

CASE 1: inflation = 0%, nom. interest rate = 10%

CASE 2: inflation = 10%, nom. interest rate = 20%

A C T I V E L E A R N I N G 3

Summary and lessons

57

Inflation…

raises nominal interest rates (Fisher effect)

but not real interest rates

increases savers’ tax burdens

lowers the after-tax real interest rate

Deposit = $1000. Tax rate = 25%.

CASE 1: inflation = 0%, nom. interest rate = 10%

CASE 2: inflation = 10%, nom. interest rate = 20%

Confusion and Inconvenience

Money

Yardstick with which we measure economic

transactions

The Fed’s job

Ensure the reliability of money

When the Fed increases money supply

Creates inflation

Erodes the real value of the unit of account

58 59

A Special Cost of Unexpected Inflation

Arbitrary redistributions of wealth

Unexpected inflation

Redistributes wealth among the population

Not by merit

Not by need

Redistribute wealth among debtors and

creditors

Inflation - volatile & uncertain

When the average rate of inflation is high

Page 16: Economics - Pen Pacificpenpacific.com/Macroeconomics/Ch_12_Money_Growth_and_Inflation.pdfby Ron Cronovich 12 In this chapter, ... explain one of the Ten Principles of Economics from

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Deflation May Be Worse

Small and predictable amount of deflation

May be desirable

The Friedman rule: moderate deflation will

Lower the nominal interest rate

Reduce the cost of holding money

Shoeleather costs of holding money - minimized

by a nominal interest rate close to zero

Deflation equal to the real interest rate

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Deflation May Be Worse

Costs of deflation

Menu costs

Relative-price variability

If not steady and predictable

Redistribution of wealth toward creditors and

away from debtors

Arises because of broader macroeconomic

difficulties

Symptom of deeper economic problems

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