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© 2007 Thomson South-Western
© 2007 Thomson South-Western
Last Chapter…• In the last chapter, we looked at how
economists use GDP to measure the quantity of goods and services that the economy is producing.
• To review…– What things are factored into the GDP?– What are the two kinds of GDP and what is the
difference?
© 2007 Thomson South-Western
This Chapter…• This chapter examines how economists
measure the overall cost of living and how today’s salaries compare to those of the past.
• To do this, we need to talk about something called the CPI or Consumer Price Index.
• Also factored in is something else called Inflation.
© 2007 Thomson South-Western
Measuring the Cost of Living• Inflation refers to a situation in which the
economy’s overall price level is rising.
• The inflation rate is the percentage change in the price level from the previous period.
© 2007 Thomson South-Western
THE CONSUMER PRICE INDEX• The consumer price index (CPI) is a measure
of the overall cost of the goods and services bought by a typical consumer.
• The US Bureau of Labor Statistics reports the CPI each month.
• It is used to monitor changes in the cost of living over time.
© 2007 Thomson South-Western
THE CONSUMER PRICE INDEX
When the CPI rises, the typical family has to spend more dollars to maintain the same standard of living.
© 2007 Thomson South-Western
How the Consumer Price Index Is Calculated
1. Fix the basket. Determine what prices are most important to the typical consumer.• The Bureau of Labor Statistics (BLS) identifies a
market basket of goods and services the typical consumer buys.
•The BLS conducts monthly consumer surveys to set the weights for the prices of those goods and services.
© 2007 Thomson South-Western
How the Consumer Price Index Is Calculated
2. Find the prices. Find the prices of each of the goods and services in the basket for each point in time.
3. Compute the basket’s cost. Use the data on prices to calculate the cost of the basket of goods and services at different times.
© 2007 Thomson South-Western
How the Consumer Price Index Is Calculated
4. Choose a base year and compute the index. • Designate one year as the base year, making it the
benchmark against which other years are compared. • Compute the index by dividing the price of the
basket in one year by the price in the base year and multiplying by 100.
100year basein basket of Price
services and goods ofbasket of Priceindex priceConsumer
© 2007 Thomson South-Western
How the Consumer Price Index Is Calculated
5. Compute the inflation rate. The inflation rate is the percentage change in the price index from the preceding period.
© 2007 Thomson South-Western
How the Consumer Price Index Is Calculated
• The inflation rate is calculated as follows:
CPI in Year 2 CPI in Year 1Inflation Rate in Year 2= 100
CPI in Year 1
© 2007 Thomson South-Western
MEASURING THE COST OF LIVING 12
EXAMPLE basket: {4 pizzas, 10 lattes}
$12 x 4 + $3 x 10 = $78
$11 x 4 + $2.5 x 10 = $69
$10 x 4 + $2 x 10 = $60
cost of basket
$3.00
$2.50
$2.00
price of latte
$122009
$112008
$102007
price of pizza
year
Compute CPI in each year
2007: 100 x ($60/$60) = 100
2008: 100 x ($69/$60) = 115
2009: 100 x ($78/$60) = 130
Inflation rate:
15%115 – 100
100x 100%=
13%130 – 115
115x 100%=
using 2007 base year:
© 2007 Thomson South-Western
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 11
Calculate the CPICalculate the CPI
13
CPI basket: {10 lbs beef, 20 lbs chicken}
The CPI basket cost $120 in 2004, the base year.
A. Compute the CPI in 2005.
B. What was the CPI inflation rate from 2005-2006?
price of beef
price of chicken
2004 $4 $4
2005 $5 $5
2006 $9 $6
© 2007 Thomson South-Western
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 11
AnswersAnswers
14
A. Compute the CPI in 2005:
Cost of CPI basket in 2005= ($5 x 10) + ($5 x 20) = $150
CPI in 2005 = 100 x ($150/$120) = 125
CPI basket: {10 lbs beef, 20 lbs chicken}
The CPI basket cost $120 in 2004, the base year.
price of beef
price of chicken
2004 $4 $4
2005 $5 $5
2006 $9 $6
© 2007 Thomson South-Western
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 11
AnswersAnswers
15
price of beef
price of chicken
2004 $4 $4
2005 $5 $5
2006 $9 $6
CPI basket: {10 lbs beef, 20 lbs chicken}
The CPI basket cost $120 in 2004, the base year.
B. What was the inflation rate from 2005-2006?
Cost of CPI basket in 2006= ($9 x 10) + ($6 x 20) = $210
CPI in 2006 = 100 x ($210/$120) = 175
CPI inflation rate = (175 – 125)/125 = 40%
© 2007 Thomson South-Western
MEASURING THE COST OF LIVING 16
What’s in the CPI’s Basket?
43%
17%
15%
6%
6%
6%4% 3% Housing
Transportation
Food & Beverages
Medical care
Recreation
Education andcommunicationApparel
Other
© 2007 Thomson South-Western
CPI basket: {10# beef, 20# chicken}
2004-5: Households bought CPI basket.
2006: Households bought {5 lbs beef, 25 lbs chicken}.
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 22
Substitution biasSubstitution bias
17
beef chickencost of CPI
basket
2004 $4 $4 $120
2005 $5 $5 $150
2006 $9 $6 $210
A. Compute cost of the 2006 household basket.
B. Compute % increase in cost of household basket over 2005-6, compare to CPI inflation rate.
© 2007 Thomson South-Western
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 22
AnswersAnswers
18
A. Compute cost of the 2006 household basket.
($9 x 5) + ($6 x 25) = $195
CPI basket: {10# beef, 20# chicken}
Household basket in 2006: {5# beef, 25# chicken}
beef chickencost of CPI
basket
2004 $4 $4 $120
2005 $5 $5 $150
2006 $9 $6 $210
© 2007 Thomson South-Western
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 22
AnswersAnswers
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B. Compute % increase in cost of household basket over 2005-6, compare to CPI inflation rate.
Rate of increase: ($195 – $150)/$150 = 30%
CPI inflation rate from previous problem = 40%
CPI basket: {10# beef, 20# chicken}
Household basket in 2006: {5# beef, 25# chicken}
beef chickencost of CPI
basket
2004 $4 $4 $120
2005 $5 $5 $150
2006 $9 $6 $210
© 2007 Thomson South-Western
MEASURING THE COST OF LIVING 20
Problems with the CPI: Substitution Bias
• Over time, some prices rise faster than others.
• Consumers substitute toward goods that become relatively cheaper.
• The CPI misses this substitution because it uses a fixed basket of goods.
• Thus, the CPI overstates increases in the cost of living.
© 2007 Thomson South-Western
MEASURING THE COST OF LIVING 21
Problems with the CPI: Introduction of New Goods
• The introduction of new goods increases variety, allows consumers to find products that more closely meet their needs.
• In effect, dollars become more valuable.
• The CPI misses this effect because it uses a fixed basket of goods.
• Thus, the CPI overstates increases in the cost of living.
© 2007 Thomson South-Western
MEASURING THE COST OF LIVING 22
Problems with the CPI: Unmeasured Quality Change
• Improvements in the quality of goods in the basket increase the value of each dollar.
• The BLS tries to account for quality changes but probably misses some, as quality is hard to measure.
• Thus, the CPI overstates increases in the cost of living.
© 2007 Thomson South-Western
Problems in Measuring the Cost of Living
• The substitution bias, introduction of new goods, and unmeasured quality changes cause the CPI to overstate the true cost of living.
• The issue is important because many government programs use the CPI to adjust for changes in the overall level of prices.
• The CPI overstates inflation by about 1 percentage point per year.
© 2007 Thomson South-Western
The GDP Deflator versus the Consumer Price Index
• What was the GDP deflator?
• The GDP deflator is calculated as follows:
G D P d efla to r =N o m in a l G D P
R eal G D P 1 0 0
© 2007 Thomson South-Western
The GDP Deflator versus the Consumer Price Index
• The BLS calculates other prices indexes:
• The index for different regions within the country.
• The producer price index, which measures the cost of a basket of goods and services bought by firms rather than consumers.
© 2007 Thomson South-Western
The GDP Deflator versus the Consumer Price Index
• Economists and policymakers monitor both the GDP deflator and the consumer price index to gauge how quickly prices are rising.
• There are two important differences between the indexes that can cause them to diverge.
© 2007 Thomson South-Western
The GDP Deflator versus the Consumer Price Index
• The GDP deflator reflects the prices of all goods and services produced domestically, whereas...
• …the consumer price index reflects the prices of all goods and services bought by consumers.
© 2007 Thomson South-Western
The GDP Deflator versus the Consumer Price Index
• The consumer price index compares the price of a fixed basket of goods and services to the price of the basket in the base year (only occasionally does the BLS change the basket)...
• …whereas the GDP deflator compares the price of currently produced goods and services to the price of the same goods and services in the base year.
© 2007 Thomson South-Western
Figure 2 Two Measures of Inflation
1965
Percentper Year
15
CPI
GDP deflator
10
5
01970 1975 1980 1985 1990 20001995 2005
© 2007 Thomson South-WesternMEASURING THE COST OF LIVING 30
Imported consumer goods:– included in CPI – excluded from GDP deflator
Imported consumer goods:– included in CPI – excluded from GDP deflator
The basket: CPI uses fixed basket GDP deflator uses basket of
currently produced goods & servicesThis matters if different prices are changing by different amounts.
The basket: CPI uses fixed basket GDP deflator uses basket of
currently produced goods & servicesThis matters if different prices are changing by different amounts.
Capital goods: excluded from CPI included in GDP deflator
(if produced domestically)
Capital goods: excluded from CPI included in GDP deflator
(if produced domestically)
Contrasting the CPI and GDP Deflator
© 2007 Thomson South-Western
In each scenario, determine the effects on the CPI and the GDP deflator.
A. Starbucks raises the price of Frappuccinos.
B. Caterpillar raises the price of the industrial tractors it manufactures at its Illinois factory.
C. Armani raises the price of the Italian jeans it sells in the U.S.
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 33
CPI vs. GDP deflatorCPI vs. GDP deflator
31
© 2007 Thomson South-Western
A. Starbucks raises the price of Frappuccinos.
The CPI and GDP deflator both rise.
B. Caterpillar raises the price of the industrial tractors it manufactures at its Illinois factory.
The GDP deflator rises, the CPI does not.
C. Armani raises the price of the Italian jeans it sells in the U.S.
The CPI rises, the GDP deflator does not.
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 33
AnswersAnswers
32
© 2007 Thomson South-WesternMEASURING THE COST OF LIVING 33
Correcting Variables for Inflation:Comparing Dollar Figures from Different Times
• Inflation makes it harder to compare dollar amounts from different times.
• Example: the minimum wage
– $1.15 in Dec 1964
– $5.85 in Dec 2007
• Did min wage have more purchasing power in Dec 1964 or Dec 2007?
• To compare, use CPI to convert 1964 figure into “today’s dollars”…
© 2007 Thomson South-WesternMEASURING THE COST OF LIVING 34
• In our example,
– year T = 12/1964, “today” = 12/2007
– Min wage = $1.15 in year T
– CPI = 31.3 in year T, CPI = 211.7 today
Correcting Variables for Inflation:Comparing Dollar Figures from Different Times
Amount in today’s
dollars
Amount in year T dollars
Price level today
Price level in year T= x
$7.78 $1.15211.731.3
= xThe minimum wage in 1964 was $7.78
in today’s (2007) dollars.
© 2007 Thomson South-WesternMEASURING THE COST OF LIVING 35
Correcting Variables for Inflation:Comparing Dollar Figures from Different Times
• Researchers, business analysts and policymakers often use this technique to convert a time series of current-dollar (nominal) figures into constant-dollar (real) figures.
• They can then see how a variable has changed over time after correcting for inflation.
• Example: the minimum wage, from Jan 1950 to Dec 2007…
© 2007 Thomson South-Western
The U.S. Minimum Wage in Current Dollarsand Today’s Dollars, 1950-2007
$ pe
r ho
ur
$0
$1
$2
$3
$4
$5
$6
$7
$8
$9
1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005
current dollars
2007 dollars
© 2007 Thomson South-Western
Annual tuition and fees, average of all public four-year colleges & universities in the U.S.
– 1986-87: $1,414 (1986 CPI = 109.6)
– 2006-07: $5,834 (2006 CPI = 203.8)
After adjusting for inflation, did students pay more for college in 1986 or in 2006? Convert the 1986 figure to 2006 dollars and compare.
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 44
Converting to “today’s dollars”Converting to “today’s dollars”
37
© 2007 Thomson South-Western
A C T I V E L E A R N I N G A C T I V E L E A R N I N G 44
AnswersAnswers
38
Solution
Convert 1986 figure into “today’s dollars”
$1,414 x (203.8/109.6) = $2,629
Even after correcting for inflation, tuition and fees were much lower in 1986 than in 2006!
Annual tuition and fees, average of all public four-year colleges & universities in the U.S.
– 1986-87: $1,414 (1986 CPI = 109.6)– 2006-07: $5,834 (2006 CPI = 203.8)
© 2007 Thomson South-WesternMEASURING THE COST OF LIVING 39
Correcting Variables for Inflation:Indexation
For example, the increase in the CPI automatically determines– the COLA in many multi-year labor contracts
– the adjustments in Social Security payments and federal income tax brackets
A dollar amount is A dollar amount is indexedindexed for inflation for inflation if it is automatically corrected for inflation if it is automatically corrected for inflation
by law or in a contract.by law or in a contract.
© 2007 Thomson South-WesternMEASURING THE COST OF LIVING 40
Correcting Variables for Inflation:Real vs. Nominal Interest Rates
The nominal interest rate: – the interest rate not corrected for inflation
– the rate of growth in the dollar value of a deposit or debt
The real interest rate:– corrected for inflation
– the rate of growth in the purchasing power of a deposit or debt
Real interest rate = (nominal interest rate) – (inflation rate)
© 2007 Thomson South-WesternMEASURING THE COST OF LIVING 41
Correcting Variables for Inflation:Real vs. Nominal Interest Rates
Example:
– Deposit $1,000 for one year.
– Nominal interest rate is 9%.
– During that year, inflation is 3.5%.
– Real interest rate = Nominal interest rate – Inflation= 9.0% – 3.5% = 5.5%
– The purchasing power of the $1000 deposit has grown 5.5%.
© 2007 Thomson South-WesternMEASURING THE COST OF LIVING 42
Real and Nominal Interest Rates in the U.S.,1950-2007
-10
-5
0
5
10
15
1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005
Inte
rest
Rat
es
(per
cen
t p
er y
ear)
Nominal interest rate Real interest rate
-10
-5
0
5
10
15
1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005
Inte
rest
Rat
es
(per
cen
t p
er y
ear)
Nominal interest rate Real interest rate
© 2007 Thomson South-Western
What’s up in Korea with CPI?
• Korean CPIWhat is the base year for the given CPI?
10,000 won in 1995 would have been worth how much in 2010?
© 2007 Thomson South-Western
What’s up in Korea with CPI?
• CPI Info… (11/11)• By the end of the year, the office will add items that account
for more than one-10,000th of monthly household expenditures; those falling short of the standard will be excluded.
• The statistics agency revises the index, currently comprising 516 items, every five years.
• New Additions This Year• Smart phones, makgeolli (Korean rice beer) and samgak
gimbap (triangular seaweed rice rolls)• Items Removed This Year
• Gold rings, camcorders and public phone calls
• Source: www.seriworld.org
© 2007 Thomson South-Western
What’s up in Korea with CPI?
• The country’s average CPI growth for the first 10 months of this year was 4.4 percent compared to 2010. The new CPI system is aimed at lowering inflation for the January-October period by 0.4 percentage points to 4 percent. Critics claim the overhaul is merely an attempt to lower the inflation index, especially given the steep drop. When the government revised the index in 1991, CPI growth fell 0.3 percentage points. Five years later, another slew of amendments saw it fall by 0.1 percentage points, then 0.3 percentage points in 2001 and 0.2 percentage points in 2006.
• Statistics Korea refuted the accusation by countering that the biggest impact to the new CPI gauge would be caused by the omission of gold ring prices, as these have surged recently. With these alone taken out of the equation, the country’s overall CPI growth drops by 0.25 percentage points. The government said it will announce two separate CPIs for November calculated using each of the systems on Thursday.
• Posted on November 11, 2011 on seriworld.org
Summary
© 2007 Thomson South-Western
• The consumer price index shows the cost of a basket of goods and services relative to the cost of the same basket in the base year.
• The index is used to measure the overall level of prices in the economy.
• The percentage change in the CPI measures the inflation rate.
Summary
© 2007 Thomson South-Western
• The consumer price index is an imperfect measure of the cost of living for the following three reasons: substitution bias, the introduction of new goods, and unmeasured changes in quality.
• Because of measurement problems, the CPI overstates annual inflation by about 1 percentage point.
Summary
© 2007 Thomson South-Western
• The GDP deflator differs from the CPI because it includes goods and services produced rather than goods and services consumed.
• In addition, the CPI uses a fixed basket of goods, while the GDP deflator automatically changes the group of goods and services over time as the composition of GDP changes.
Summary
© 2007 Thomson South-Western
• Dollar figures from different points in time do not represent a valid comparison of purchasing power.
• Various laws and private contracts use price indexes to correct for the effects of inflation.
• The real interest rate equals the nominal interest rate minus the rate of inflation.