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The Data of Macroeconomics macro

The Data of Macroeconomics macro. Important issues in macroeconomics Why does the cost of living keep rising? Why are millions of people unemployed,

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Page 1: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The Data of Macroeconomicsm

acro

Page 2: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Important issues in macroeconomicsImportant issues in macroeconomics

Why does the cost of living keep rising?

Why are millions of people unemployed, even when the economy is booming?

What causes recessions? Can the government do anything to combat recessions? Should it?

Macroeconomics, the study of the economy as a whole, addresses many topical issues:

Page 3: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Important issues in macroeconomicsImportant issues in macroeconomics

What is the government budget deficit? How does it affect the economy?

Why does the U.S. have such a huge trade deficit?

Why are so many countries poor? What policies might help them grow out of poverty?

Macroeconomics, the study of the economy as a whole, addresses many topical issues:

Page 4: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

0

10,000

20,000

30,000

40,000

1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

U.S. Real GDP per capita U.S. Real GDP per capita (2000 dollars)(2000 dollars)

Great Depression

World War II

First oil price shock

Second oil price shock

long-run upward trend…

9/11/2001

Page 5: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

U.S. inflation rateU.S. inflation rate(% per year)(% per year)

-15

-10

-5

0

5

10

15

20

25

1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Page 6: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

U.S. unemployment rateU.S. unemployment rate(% of labor force)(% of labor force)

0

5

10

15

20

25

30

1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000

Page 7: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Why learn macroeconomics?Why learn macroeconomics?

1. The macroeconomy affects society’s well-being.

Each one-point increase in the unemployment rate is associated with:

– 920 more suicides– 650 more homicides– 4000 more people admitted to state mental

institutions– 3300 more people sent to state prisons– 37,000 more deaths– increases in domestic violence and homelessness

Each one-point increase in the unemployment rate is associated with:

– 920 more suicides– 650 more homicides– 4000 more people admitted to state mental

institutions– 3300 more people sent to state prisons– 37,000 more deaths– increases in domestic violence and homelessness

Page 8: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

2. The macroeconomy affects your well-being.

-3

-2

-1

0

1

2

3

4

5

1965 1970 1975 1980 1985 1990 1995 2000 2005

-7

-5

-3

-1

1

3

5

unemployment rate inflation-adjusted mean wage (right scale)

chan

ge fr

om 1

2 m

os e

arlie

r

perc

ent c

hang

e fr

om 1

2 m

os e

arlie

r

Why learn macroeconomics?Why learn macroeconomics?

Page 9: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Unemployment & inflation in election years

year U rate inflation rate elec. outcome

1976 7.7% 5.8% Carter (D)

1980 7.1% 13.5% Reagan (R)

1984 7.5% 4.3% Reagan (R)

1988 5.5% 4.1% Bush I (R)

1992 7.5% 3.0% Clinton (D)

1996 5.4% 3.3% Clinton (D)

2000 4.0% 3.4% Bush II (R)

2004 5.5% 3.3% Bush II (R)

3. The macroeconomy affects politics.

Why learn macroeconomics?Why learn macroeconomics?

Page 10: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

A multitude of modelsA multitude of models

So we will learn different models for studying different issues (e.g., unemployment, inflation, long-run growth).

For each new model, you should keep track of – its assumptions – which variables are endogenous,

which are exogenous– the questions it can help us understand,

and those it cannot

Page 11: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Prices: flexible vs. stickyPrices: flexible vs. sticky

Market clearing: An assumption that prices are flexible, adjust to equate supply and demand.

In the short run, many prices are sticky – adjust sluggishly in response to changes in supply or demand. For example, – many labor contracts fix the nominal wage

for a year or longer– many magazine publishers change prices

only once every 3-4 years

Page 12: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Prices: flexible vs. stickyPrices: flexible vs. sticky

The economy’s behavior depends partly on whether prices are sticky or flexible:

If prices are sticky, then demand won’t always equal supply. This helps explain– unemployment (excess supply of labor)– why firms cannot always sell all the goods

they produce

Long run: prices flexible, markets clear, economy behaves very differently

Page 13: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Outline of this course:Outline of this course:

Introductory material (Chaps. 1 & 2) and the Classical Theory (Chaps. 3, 4, & 6) How the economy works in the long run, when prices are flexible

Business Cycle Theory (Chaps. 9-12)How the economy works in the short run, when prices are sticky

Policy debates (Chaps. 13-15)Should the government try to smooth business cycle fluctuations? Is the government’s debt a problem?

Growth Theory (Chaps. 7 & 8)The standard of living and its growth rate over the very long run

Page 14: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Metaphors for the EconomyMetaphors for the Economy

Human Body Machine

Page 15: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The Data of Macroeconomicsm

acro

Page 16: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Do you remember…Do you remember…

…the meaning and measurement of the most important macroeconomic statistics?

– Gross Domestic Product (GDP)

– The Consumer Price Index (CPI)

– The unemployment rate

Page 17: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Gross Domestic Product: Gross Domestic Product: Expenditure and IncomeExpenditure and Income

Two definitions:

– Total expenditure on domestically-produced final goods and services.

– Total income earned by domestically-located factors of production.

Expenditure equals income because every dollar spent by a buyer becomes income to the seller.

Expenditure equals income because every dollar spent by a buyer becomes income to the seller.

Page 18: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The Circular FlowThe Circular Flow

Households Firms

Goods

Labor

Expenditure ($)

Income ($)

Page 19: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The expenditure components of GDPThe expenditure components of GDP

consumption

investment

government spending

net exports

Page 20: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Consumption (C)Consumption (C)

– durable goods last a long time ex: cars, home appliances

– nondurable goodslast a short time ex: food, clothing

– serviceswork done for consumers ex: dry cleaning, air travel.

definition: The value of all goods and services bought by households. Includes:

Page 21: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

U.S. consumption, 2007 (Q3)U.S. consumption, 2007 (Q3)

41.9

20.4

7.7

70.0%

5,857.8

2,846.3

1,081.6

$9,785.7

Services

Nondurables

Durables

Consumption

% of GDP$ billions

Page 22: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Investment (I)Investment (I)

Definition 1: Spending on [the factor of production] capital.Definition 2: Spending on goods bought for future use

Includes:– business fixed investment

Spending on plant and equipment that firms will use to produce other goods & services.

– residential fixed investmentSpending on housing units by consumers and landlords.

– inventory investmentThe change in the value of all firms’ inventories.

Page 23: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

U.S. investment, 2007 (Q3)U.S. investment, 2007 (Q3)

0.3

4.5

10.7

15.5%

35.4

627.3

1,500.2

$2,162.9

Inventory

Residential

Business fixed

Investment

% of GDP$ billions

Page 24: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Investment vs. CapitalInvestment vs. Capital

Note: Investment is spending on new capital.

Example (assumes no depreciation): – 1/1/2007:

economy has $31,818b worth of capital

– during 2007:investment = $2,163b

– 1/1/2008: economy will have $33,981b worth of capital

Page 25: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Government spending (G)Government spending (G)

G includes all government spending on goods and services..

G excludes transfer payments (e.g., unemployment insurance payments), because they do not represent spending on goods and services.

Page 26: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

U.S. government spending, 2007 (Q3)U.S. government spending, 2007 (Q3)

Federal

19.5%$2,716.5Govt spending

State & local

Defense

7.1

12.4

4.8

2.3

990.3

1,762.2

673.5

316.8Non-defense

% of GDP$ billions

Page 27: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Net exports, 2007 (Q3)Net exports, 2007 (Q3)

$ billions % of GDP

Net Exports - $694.7 - 5.0%

Exports 1,685.7 12.0

Imports 2,380.4 17.0

NX = EX – IMNX = EX – IM

Page 28: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

An important identityAn important identity

Y = C + I + G + NX

aggregate expenditurevalue of

total output

Page 29: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

A question for you:A question for you:

Suppose a firm

produces $10 million worth of final goods

but only sells $9 million worth.

Does this violate the expenditure = output identity?

Page 30: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Why output = expenditureWhy output = expenditure

Unsold output goes into inventory, and is counted as “inventory investment”……whether or not the inventory buildup was intentional.

In effect, we are assuming that firms purchase their unsold output.

Page 31: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

GDP: GDP: An important and versatile conceptAn important and versatile concept

We have now seen that GDP measures

– total income

– total output

– total expenditure

Page 32: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

GNP vs. GDPGNP vs. GDP

Gross National Product (GNP): Total income earned by the nation’s factors of production, regardless of where located.

Gross Domestic Product (GDP):Total income earned by domestically-located factors of production, regardless of nationality.

Page 33: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Discussion question:Discussion question:

In your country, which would you want

to be bigger, GDP, or GNP?

Why?

Page 34: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

(GNP – GDP) as a percentage of GDP (GNP – GDP) as a percentage of GDP selected countries, 2002selected countries, 2002

U.S.A. 1.0% Angola -13.6 Brazil -4.0 Canada -1.9 Hong Kong 2.2 Kazakhstan -4.2 Kuwait 9.5 Mexico -1.9 Philippines 6.7 U.K. 1.6

U.S.A. 1.0% Angola -13.6 Brazil -4.0 Canada -1.9 Hong Kong 2.2 Kazakhstan -4.2 Kuwait 9.5 Mexico -1.9 Philippines 6.7 U.K. 1.6

Page 35: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Real vs. nominal GDPReal vs. nominal GDP

GDP is the value of all final goods and services produced.

nominal GDP measures these values using current prices.

real GDP measure these values using the prices of a base year.

Page 36: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Practice problem, part 1Practice problem, part 1

Compute nominal GDP in each year.

Compute real GDP in each year using 2006 as the base year.

2006 2007 2008

P Q P Q P Q

good A

$30 900 $31 1,000 $361,05

0

good B

$100 192 $102 200 $100 205

Page 37: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Answers to practice problem, part 1Answers to practice problem, part 1

nominal GDP multiply Ps & Qs from same

year

2006: $46,200 = $30 900 + $100 192

2007: $51,400

2008: $58,300

real GDP multiply each year’s Qs by 2006 Ps

2006: $46,200

2007: $50,000

2008: $52,000 = $30 1050 + $100 205

Page 38: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Real GDP controls for inflationReal GDP controls for inflation

Changes in nominal GDP can be due to:

– changes in prices. – changes in quantities of output

produced.

Changes in real GDP can only be due to changes in quantities,because real GDP is constructed using constant base-year prices.

Page 39: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

U.S. Nominal and Real GDP, U.S. Nominal and Real GDP, 1950–20061950–2006

0

2,000

4,000

6,000

8,000

10,000

12,000

14,000

1950 1960 1970 1980 1990 2000

(bill

ions)

Nominal GDP

Real GDP(in 2000 dollars)

Page 40: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

GDP DeflatorGDP Deflator

The inflation rate is the percentage increase in the overall level of prices.

One measure of the price level is the GDP deflator, defined as

Nominal GDP

GDP deflator = 100Real GDP

Page 41: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Practice problem, part 2Practice problem, part 2

Use your previous answers to compute the GDP deflator in each year.

Use GDP deflator to compute the inflation rate from 2006 to 2007, and from 2007 to 2008.

Nom. GDP

Real GDPGDP

deflatorInflation

rate

2006 $46,200 $46,200 n.a.

2007 51,400 50,000

2008 58,300 52,000

Page 42: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Answers to practice problem, part 2Answers to practice problem, part 2

Nominal GDP

Real GDPGDP

deflatorInflation

rate

2006 $46,200 $46,200 100.0 n.a.

2007 51,400 50,000 102.8 2.8%

2008 58,300 52,000 112.1 9.1%

Page 43: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Consumer Price Index (CPI)Consumer Price Index (CPI)

A measure of the overall level of prices

Published by the Bureau of Labor Statistics (BLS)

Uses: – tracks changes in the typical household’s

cost of living

– adjusts many contracts for inflation (“COLAs”)

– allows comparisons of dollar amounts over time

Page 44: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

How the BLS constructs the CPIHow the BLS constructs the CPI

1. Survey consumers to determine composition of the typical consumer’s “basket” of goods.

2. Every month, collect data on prices of all items in the basket; compute cost of basket

3. CPI in any month equals

Cost of basket in that month

Cost of basket in base period100

Page 45: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Exercise: Exercise: Compute the CPICompute the CPI

Basket contains 20 pizzas and 10 compact discs.

prices:

pizza CDs

2004 $10 $15

2005 $11 $15

2006 $12 $16

2007 $13 $15

For each year, compute the cost of the basket the CPI (use 2004 as

the base year) the inflation rate from

the preceding year

Page 46: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Cost of Inflationbasket CPI rate

2004 $350 100.0 n.a.

2005 370 105.7 5.7%

2006 400 114.3 8.1%

2007 410 117.1 2.5%

Answers:Answers:

Page 47: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The composition of the CPI’s “basket”The composition of the CPI’s “basket”

15.1%

42.4%

3.8%

17.4%6.2%

5.6%

3.0%

3.1%

3.5%

Food and bev.

Housing

Apparel

Transportation

Medical care

Recreation

Education

Communication

Other goodsand services

Page 48: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Reasons why Reasons why the CPI may overstate inflationthe CPI may overstate inflation

Substitution bias: The CPI uses fixed weights, so it cannot reflect consumers’ ability to substitute toward goods whose relative prices have fallen.

Introduction of new goods: The introduction of new goods makes consumers better off and, in effect, increases the real value of the dollar. But it does not reduce the CPI, because the CPI uses fixed weights.

Unmeasured changes in quality: Quality improvements increase the value of the dollar, but are often not fully measured.

Page 49: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The size of the CPI’s biasThe size of the CPI’s bias

In 1995, a Senate-appointed panel of experts estimated that the CPI overstates inflation by about 1.1% per year.

Now, the CPI’s bias is probably under 1% per year.

Page 50: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

CPI vs. GDP DeflatorCPI vs. GDP Deflator

prices of capital goods– included in GDP deflator (if produced domestically)– excluded from CPI

prices of imported consumer goods– included in CPI– excluded from GDP deflator

the basket of goods– CPI: fixed– GDP deflator: changes every year

Page 51: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Two measures of inflation in the U.S.Two measures of inflation in the U.S.

-3%

0%

3%

6%

9%

12%

15%

1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005

GDP deflator CPI

Pe

rce

nta

ge

ch

ang

e fr

om

12

mo

nth

s e

arl

ier

Page 52: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Labor Market DataLabor Market Data

Household survey (60,000 HH)

Employer survey (160,000 B+GA)

Page 53: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Categories of the populationCategories of the population

employed working at a paid job

unemployed not employed but looking for a job

labor force the amount of labor available for producing goods and services; all employed plus unemployed persons

not in the labor force not employed, not looking for work

Page 54: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Two important labor force conceptsTwo important labor force concepts

unemployment rate percentage of the labor force that is unemployed

labor force participation rate the fraction of the adult population that “participates” in the labor force

Page 55: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Exercise: Exercise: Compute labor force statisticsCompute labor force statistics

U.S. adult population by group, December 2007

Number employed = 146.2 millionNumber unemployed = 7.7

millionAdult population = 233.2 million

Use the above data to calculate– the labor force– the number of people not in the labor force– the labor force participation rate– the unemployment rate

Page 56: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Answers:Answers:

data: E = 146.2, U = 7.7, POP = 233.2

labor forceL = E +U = 146.2 + 7.7 = 153.9

not in labor forceNILF = POP – L = 233.2 – 153.9 = 79.3

unemployment rateU/L x 100% = (7.7/153.9) x 100% = 5.0%

labor force participation rateL/POP x 100% = (153.9/233.2) x 100% = 66.0%

Page 57: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Two measures of employment growthTwo measures of employment growth

-4%

-2%

0%

2%

4%

6%

8%

1960 1965 1970 1975 1980 1985 1990 1995 2000 2005

Establishment survey Household survey

Pe

rce

nta

ge

ch

ang

e fr

om

12

mo

nth

s e

arl

ier

Page 58: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

A Long Run Model:

Where Income Comes From

and Where it Goes

mac

ro

Page 59: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Outline of modelOutline of model

A closed economy, market-clearing model

Supply side– factor markets (supply, demand, price)– determination of output/income

Demand side– determinants of C, I, and G

Equilibrium– goods market– loanable funds market

Page 60: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The production functionThe production function

denoted Y = F (K, L)– shows how much output (Y ) the

economy can produce from K units of capital and L units of labor

reflects the economy’s level of technology

exhibits constant returns to scale

Page 61: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Returns to scaleReturns to scale

Initially Y1 = F (K1 , L1 )

Scale all inputs by the same factor z:

K2 = zK1 and L2 = zL1

(e.g., if z = 1.25, then all inputs are increased by 25%)

What happens to output, Y2 = F (K2, L2 )?

If constant returns to scale, Y2 = zY1

If increasing returns to scale, Y2 > zY1

If decreasing returns to scale, Y2 < zY1

Page 62: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Returns to scale: Example 1Returns to scale: Example 1

( , )F K L KL

( , ) ( )( )F zK zL zK zL

z KL 2

z KL 2

z KL

( , )z F K L constant returns to scale for any z > 0

Page 63: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Returns to scale: Example 2Returns to scale: Example 2

( , )F K L K L

( , )F zK zL zK zL

z K z L

( , )z F K Ldecreasing

returns to scale for any z > 1

z K L

Page 64: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Returns to scale: Example 3Returns to scale: Example 3

( , )F K L K L 2 2

( , ) ( ) ( )F zK zL zK zL 2 2

( , )z F K L 2 increasing returns to scale for any

z > 1

z K L 2 2 2

Page 65: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

NOW YOU TRY: NOW YOU TRY:

Returns to ScaleReturns to Scale

( , )F K L K L

( , )K

F K LL

2

Determine whether each of these production functions has constant, decreasing, or increasing returns to scale:

(a)

(b)

Page 66: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

NOW YOU TRY: NOW YOU TRY:

Answers, part (a)Answers, part (a)

( , )K

F K LL

2

( )( , )

zKF zK zL

zL

2 z K

zL

2 2 Kz

L

2

( , )z F K L

constant returns to scale for any z > 0

Page 67: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Assumptions of the modelAssumptions of the model

1. Technology is fixed.

2. The economy’s supplies of capital and labor are fixed at

and K K L L

Page 68: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Determining GDPDetermining GDP

Output is determined by the fixed factor supplies and the fixed state of technology:

, ( )Y F K L

Page 69: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The distribution of national incomeThe distribution of national income

determined by factor prices, the prices per unit firms pay for the factors of production

– wage = price of L

– rental rate = price of K

Page 70: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

NotationNotation

W = nominal wage

R = nominal rental rate

P = price of output

W /P = real wage (measured in units of output)

R /P = real rental rate

W = nominal wage

R = nominal rental rate

P = price of output

W /P = real wage (measured in units of output)

R /P = real rental rate

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How factor prices are determinedHow factor prices are determined

Factor prices are determined by supply and demand in factor markets.

Recall: Supply of each factor is fixed.

What about demand?

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Demand for laborDemand for labor

Assume markets are competitive: each firm takes W, R, and P as given.

Basic idea:A firm hires each unit of labor if the cost does not exceed the benefit.– cost = real wage– benefit = marginal product of labor

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Marginal product of labor (Marginal product of labor (MPLMPL ))

definition:The extra output the firm can produce using an additional unit of labor (holding other inputs fixed):

MPL = F (K, L +1) – F (K, L)

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NOW YOU TRY: NOW YOU TRY:

Compute & graph MPLCompute & graph MPL

a.Determine MPL at each value of L.

b.Graph the production function.

c. Graph the MPL curve with MPL on the vertical axis and L on the horizontal axis.

L Y MPL

0 0 n.a.

1 10 ?

2 19 ?

3 27 8

4 34 ?

5 40 ?

6 45 ?

7 49 ?

8 52 ?

9 54 ?

10 55 ?

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NOW YOU TRY: NOW YOU TRY:

AnswersAnswers

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Youtput

MPL and the production function MPL and the production function

Llabor

F K L( , )

1

MPL

1

MPL

1MPL As more labor

is added, MPL

Slope of the production function equals MPL

Page 77: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Diminishing marginal returnsDiminishing marginal returns

As a factor input is increased, its marginal product falls (ceteris paribus).

Intuition:Suppose L while holding K fixed fewer machines per worker lower worker productivity

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NOW YOU TRY: NOW YOU TRY:

Identifying Diminishing Marginal ReturnsIdentifying Diminishing Marginal Returns

Which of these production functions have diminishing marginal returns to labor?

a) 2 15F K L K L ( , )

F K L KL( , )b)

c) 2 15F K L K L ( , )

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NOW YOU TRY: NOW YOU TRY:

MPL and labor demandMPL and labor demand

Suppose W/P = 6.

If L = 3, should firm hire more or less labor? Why?

If L = 7, should firm hire more or less labor? Why?

L Y MPL

0 0 n.a.

1 10 10

2 19 9

3 27 8

4 34 7

5 40 6

6 45 5

7 49 4

8 52 3

9 54 2

10 55 1

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MPLMPL and the demand for labor and the demand for labor

Each firm hires labor up to the point where MPL = W/P.

Each firm hires labor up to the point where MPL = W/P.

Units of output

Units of labor, L

MPL, Labor demand

Real wage

Quantity of labor demanded

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The equilibrium real wageThe equilibrium real wage

The real wage adjusts to equate labor demand with supply.

The real wage adjusts to equate labor demand with supply.

Units of output

Units of labor, L

MPL, Labor demand

equilibrium real wage

Labor supply

L

Page 82: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Determining the rental rateDetermining the rental rate

We have just seen that MPL = W/P.

The same logic shows that MPK = R/P :– diminishing returns to capital: MPK as K

– The MPK curve is the firm’s demand

curve for renting capital.

– Firms maximize profits by choosing K such that MPK = R/P .

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The equilibrium real rental rateThe equilibrium real rental rate

The real rental rate adjusts to equate demand for capital with supply.

The real rental rate adjusts to equate demand for capital with supply.

Units of output

Units of capital, K

MPK, demand for capital

equilibrium R/P

Supply of capital

K

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The Neoclassical Theory of DistributionThe Neoclassical Theory of Distribution

states that each factor input is paid its marginal product

a good starting point for thinking about income distribution

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How income is distributed to L and KHow income is distributed to L and K

total labor income = ________ = _________

If production function has constant returns to scale, then

total capital income = _______ = __________

Y MPL L MPK K

laborincome

capitalincome

nationalincome

Page 86: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

The ratio of labor income to total income The ratio of labor income to total income in the U.S., in the U.S., 1960-20071960-2007

Labor’s share of

total income

Labor’s share of income is approximately constant over time.

(Thus, capital’s share is, too.)

Labor’s share of income is approximately constant over time.

(Thus, capital’s share is, too.)

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The Cobb-Douglas Production FunctionThe Cobb-Douglas Production Function

The Cobb-Douglas production function has constant factor shares:

= capital’s share of total income:capital income = MPK x K = Ylabor income = MPL x L = (1 – )Y

The Cobb-Douglas production function is:

where A represents the level of technology.

1Y AK L

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Each factor’s marginal product is proportional to its average product:

1 1 YMPK AK L

K

(1 )(1 )

YMPL AK L

L

The Cobb-Douglas Production FunctionThe Cobb-Douglas Production Function

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Labor productivity and wagesLabor productivity and wages

Theory: wages depend on labor productivity

U.S. data:

periodproductivity growth

real wage growth

1959-2007

2.1% 2.0%

1959-1973

2.8% 2.8%

1973-1995

1.4% 1.2%

1995-2007

2.5% 2.4%

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Outline of modelOutline of model

A closed economy, market-clearing model

Supply side factor markets (supply, demand, price) determination of output/income

Demand side determinants of C, I, and G

Equilibrium goods market loanable funds market

DONE

DONE

Next

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Demand for goods & servicesDemand for goods & services

Components of aggregate demand:

C =

I =

G =

(closed economy: no NX )

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Consumption, Consumption, CC

def: ________________ is total income minus total taxes: Y – T.

Consumption function: C = C (Y – T )Shows that (Y – T ) C

def: ___________________________ is the increase in C caused by a one-unit increase in disposable income.

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The consumption functionThe consumption function

C

Y – T

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Investment, Investment, II

The investment function is I = I (r ), where r denotes the __________________,

the nominal interest rate corrected for inflation.

The real interest rate is– ________________________________ – ________________________________.

So, r I

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The investment functionThe investment function

r

I

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Government spending, Government spending, GG

G = govt spending on goods and services.

G excludes _______________________ (e.g., social security benefits, unemployment insurance

benefits).

Assume government spending and total taxes are exogenous: and G G T T

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The market for goods & servicesThe market for goods & services

Aggregate demand:

Aggregate supply:

Equilibrium:

The ___________________ adjusts to equate demand with supply.

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The loanable funds marketThe loanable funds market

A simple supply-demand model of the financial system.

One asset: “loanable funds”– demand for funds:

_________________– supply of funds:

_________________– “price” of funds:

__________________

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Demand for funds: InvestmentDemand for funds: Investment

The demand for loanable funds…

– _____________________________:Firms borrow to finance spending on plant & equipment, new office buildings, etc. Consumers borrow to buy new houses.

– _____________________________, the “price” of loanable funds (cost of borrowing).

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Loanable funds demand curveLoanable funds demand curve

r

I

The investment curve is also the demand curve for loanable funds.

The investment curve is also the demand curve for loanable funds.

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Supply of funds: SavingSupply of funds: Saving

The supply of loanable funds comes from saving:

– ________________________________

– ________________________________

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Types of savingTypes of saving

private saving =

public saving =

national saving, S =

=

=

Page 103: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

EXERCISE: EXERCISE:

Calculate the change in savingCalculate the change in saving

Suppose MPC = 0.8 and MPL = 20.

For each of the following, compute S :

a. G = 100

b. T = 100

c. Y = 100

d. L = 10

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digression: digression: Budget surpluses and deficitsBudget surpluses and deficits If T > G, budget ______ = (T – G )

= public saving.

If T < G, budget ______ = (G – T )and public saving is negative.

If T = G , “_______________,” public saving = 0.

The U.S. government finances its deficit by ________________________.

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Loanable funds market equilibriumLoanable funds market equilibrium

r

S, I

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The special role of The special role of rr

r adjusts to equilibrate the _______ market and the _______________ market simultaneously:

r adjusts to equilibrate the _______ market and the _______________ market simultaneously:

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Mastering the loanable funds modelMastering the loanable funds model

Things that shift the saving curve:

Things that shift the investment curve

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CASE STUDY: CASE STUDY:

The Reagan deficitsThe Reagan deficits

Reagan policies during early 1980s:

– ____________________________

– ____________________________

Both policies reduce national saving:

Page 109: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

CASE STUDY: CASE STUDY:

The Reagan deficitsThe Reagan deficits

r

S, I

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Are the data consistent with these results?Are the data consistent with these results?

variable 1970s 1980s

T – G –2.2 –3.9

S 19.6 17.4

r 1.1 6.3

I 19.9 19.4

T–G, S, and I are expressed as a percent of GDP

All figures are averages over the decade shown.

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An increase in investment demandAn increase in investment demand

r

S, I

Page 112: The Data of Macroeconomics macro. Important issues in macroeconomics  Why does the cost of living keep rising?  Why are millions of people unemployed,

Saving and the interest rateSaving and the interest rate

Why might saving depend on r ?

How would the results of an increase in investment demand be different?

– Would r rise as much?

– Would the equilibrium value of I change?