• What a market basket is and why it’s important.
• How to calculate and use a price index.
• How to identify challenges the Bureau of Labor Statistics (BLS) faces when measuring inflation.
• How the BLS responds to these challenges.
• How to calculate the inflation rate using three methods.
• How to adjust nominal values into real values.
• How to define and calculate purchasing power parity
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11© 2014 by McGraw-Hill Education
Chapter 25
The Cost of Living
2© 2014 by McGraw-Hill Education
• What a market basket is and why it’s important.
• How to calculate and use a price index.
• How to identify challenges the Bureau of Labor
Statistics (BLS) faces when measuring inflation.
• How the BLS responds to these challenges.
• How to calculate the inflation rate using three
methods.
• How to adjust nominal values into real values.
• How to define and calculate purchasing power
parity.
What will you learn in this chapter?
3© 2014 by McGraw-Hill Education
• A large focus of macroeconomics is prices, but
more importantly how changes in prices
impact how much we can buy.
• Prices change at different speeds across time
and place.
• Changing prices have effects on people’s
incentives and choices.
– Price levels determine the relative value of salaries,
savings and borrowing, and the relative cost of
living in a different city.
The cost of living
24© 2014 by McGraw-Hill Education
• The prices of many different goods and
services must be considered when comparing
the cost of living across time and place.
• The market basket is a list of specific goods and
services in fixed quantities.
– The goal is to use this to see how the cost of
buying these goods and services changes over time
and location.
– Items typically purchased by individuals.
– Keeping the quantities of each item constant
ensures that changes only reflect price changes.
The market basket
5© 2014 by McGraw-Hill Education
• Consider changes in the prices of four items you
typically buy at the grocery store.
• How much did the cost of groceries rise between years?
The market basket
Quantity purchased Price last year ($) Price this year ($)
Bread (per loaf) 1 3.00 3.15
Milk (per gallon) 1 2.50 2.55
Beef (per pound) 3 3.50 3.64
Carrots (per pound) 1 1.00 1.25
Total Cost2012 = ($3.00 x 1)+($2.50 x 1)+($3.50 x 3)+($1.00 x 1)= $17.00
Total Cost2013 = ($3.15 x 1)+($2.55 x 1)+($3.64 x 3)+($1.25 x 1) = $17.87
Price increase from 2012 to 2013 = [($17.87 - $17)/$17] x 100 = 5.1%
6© 2014 by McGraw-Hill Education
Information for the market basket is listed in the table.
Calculate the total cost for each year.
Active Learning: Calculating total cost
Year Quantity of Apples
Quantity of
Oranges
Price of Apples
($) Price of Oranges($)
2012 3 5 1 1
2013 3 5 2 1
2014 3 5 3 2
Year Total Cost ($)
2012
2013
2014
37© 2014 by McGraw-Hill Education
• A price index is a measure showing how much the
cost of a market basket has changed relative to
the cost in a base time period or location.
– Base year index is equalized to 100.
• The Consumer Price Index (CPI) is a measure that
tracks changes in the cost of a basket of goods
and services purchased by a typical U.S.
household.
– CPI is the most commonly used index tool for tracking
changes in the cost of living in the U.S.
– The CPI is tracked by the Bureau of Labor Statistics
(BLS).
Consumer price index
8© 2014 by McGraw-Hill Education
• The CPI measures the increase in the cost of the market
basket relative to the cost in a given base year.
CPI = େ୭ୱ୲ ୭ ୢୣୱ୧୰ୣୢି୷ୣୟ୰ ୠୟୱ୩ୣ୲ ୧୬ ୠୟୱୣି୷ୣୟ୰ ୮୰୧ୡୣୱେ୭ୱ୲ ୭ ୠୟୱୣି୷ୣୟ୰ ୠୟୱ୩ୣ୲ ୧୬ ୠୟୱୣ ୷ୣୟ୰ ୮୰୧ୡୣୱ × 100
• By definition, the index always equals 100 in the base
year.
– The index will be greater than 100 if the cost of the basket
is greater than the base-year cost.
– The index will be less than 100 if the cost of the basket is
less than the base-year cost.
Consumer price index
9© 2014 by McGraw-Hill Education
Information on total cost for each year is listed in the table.
Calculate the CPI for the basket of goods in each year assuming
that the base year is 2012.
Active Learning: Calculating CPI
Year Total Cost CPI
2012 $8
2013 $11
2014 $19
410© 2014 by McGraw-Hill Education
The following illustrates the CPI from 1913 to 2011.
Consumer price index
0
50
100
150
200
250
1910 1930 1950 1970 1990 2010
Consumer price index
(1984 = 100)
CPI
Year
11© 2014 by McGraw-Hill Education
• There are two main challenges.
• Which goods should be included in the market
basket?
– A single number cannot perfectly describe changes in
the cost of living for everyone.
• The BLS tries to come up with a basket that
represents a “typical” household.
– The CPI basket is based on the average goods and
services purchased by “urban consumers.”
– One family’s cost of living could be different than that
computed by the CPI -- depends on what they
purchase.
The challenges in measuring price changes
12© 2014 by McGraw-Hill Education
• The chart below provides a snapshot of the
current CPI’s basket.
• Represents spending by urban consumers.
The challenges in measuring price changes
4%
4%
6%
6%
7%
15%
17%
41%
0% 5% 10% 15% 20% 25% 30% 35% 40% 45%
Other goods and services
Apparel
Recreation
Education and communication
Medical care
Food and beverage
Transportation
Housing
513© 2014 by McGraw-Hill Education
• The second challenge is that the basket of
goods remains fixed even if consumers
substitute between similar goods
– If the relative price of goods changes, the
quantities change as well.
– As new goods and services become available
(innovation), people will adjust what they
consume.
• The CPI keeps types and quantities of goods
constant, which does not account for
consumption changes.
The challenges in measuring price changes
14© 2014 by McGraw-Hill Education
• Similar to GDP, economic variables give
an incomplete picture when expressed in
nominal terms, as their real value may be
different over time.
• Price indices transform nominal values
into real values.
– Isolate changes in prices from changes in
other economic variables, like income and
output.
Using price indices
15© 2014 by McGraw-Hill Education
• The inflation rate is the size of the change
in the overall price level.
• It is calculated as the percentage change
in the CPI from year to year:
Inflation = ூೌೝ మିூೌೝ భூೌೝ భ × 100
The inflation rate
616© 2014 by McGraw-Hill Education
The following table calculates the inflation rate.
The inflation rate
Year CPI Calculation Inflation rate (%)
2005 195.3 ———
2006 201.6 201.6 - 195.3
195.3
x 100 3.2
2007 207.3 207.3 - 201.6
201.6
x 100 2.8
2008 215.3 215.3 - 207.3
207.3
x 100 3.8
2009 214.5 214.5 - 215.3
215.3
x 100 -0.4
2010 218.1 218.1 - 214.5
214.5
x 100 1.6
2011 224.9 224.9 - 218.1
218.1
x 100 3.1
• The CPI tells how much prices have changed from the base year prices
(1984).
• The inflation rate tells by how much prices have changed from year to
year.
• In 2009 the inflation rate was negative; deflation occurred.
17© 2014 by McGraw-Hill Education
Calculate the inflation rates for 2013 and 2014
using the following information.
Active Learning: Calculating inflation rates
Year CPI Inflation Rate
2012 100 --
2013 138
2014 238
18© 2014 by McGraw-Hill Education
• There are several common ways to report inflation.
• The CPI:
– Headline inflation measures price changes for the entire
market basket.
– Core inflation measures price changes with food and
energy costs removed.
• Energy and food prices fluctuate often, which could
over- or understate the real change in overall prices.
• Producer price index (PPI) measures the prices of
goods and services purchased by firms.
• GDP deflator measures the prices of goods and
services produced in the country.
The inflation rate
719© 2014 by McGraw-Hill Education
This graph provides the three common measures of
inflation for the United States from 1960-2010.
The inflation rate
-10
-5
0
5
10
15
20
1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010
Consumer price index
GDP deflator
Producer price index
Percent change
Year
20© 2014 by McGraw-Hill Education
• The CPI (or another price index) can be used to
“deflate” nominal values into real values.
– Compares purchasing power over time.
• Any nominal value in year X can be put into
year Y value using:
Real value୷ୣୟ୰ ଢ଼ = Nominal value୷ୣୟ୰ ଡ଼ ×
CPI୷ୣୟ୰ ଢ଼
CPI୷ୣୟ୰ ଡ଼
Deflating nominal variables
21© 2014 by McGraw-Hill Education
This table provides the value of the top 20% earners for
the last five decades in terms of the year 2000 prices.
Deflating nominal variables
Year
Average income of
top 20 percent ($)
Value in 2009 dollars
1969 20,520 36.7 X 214.5
36.7
=
1979 43,265 72.6 X 214.5
72.6
=
X 214.5
124.0
=
X 214.5
166.6
=
2000 170,844 214.5 $170,844
$135,250
$ 85,529
$ 43,265
$ 20,520
$174,136
$147,951
$127,828
$119, 933
1999 135,250
124.0
CPI
(1982 – 84 = 100)
166.6
85,5291989
• The average income of those living in 1969 looks much lower than in
2000.
• Inflating 1969 nominal incomes to the year 2000 prices, the value of
a dollar in each year is the same between the two decades. The gap
decreases dramatically.
822© 2014 by McGraw-Hill Education
Suppose a worker made $4.25/hour in 1993.
How much is this worth today if the CPI in 1993
was 142 and today it is 216?
Active Learning: Deflating nominal variables
23© 2014 by McGraw-Hill Education
• A fundamental theory in macroeconomics
states that wages should naturally rise to offset
the effects of inflation.
– However, there are times when some prices
change faster than wages.
• Indexing is a practice of automatically
increasing payments in proportion to the cost
of living.
– These payments are often referred to as “cost-of-
living adjustments.”
Adjusting for inflation: Indexing
24© 2014 by McGraw-Hill Education
While minimum wage has increased over time, the real
value of minimum wage has fallen since the late 60s.
Adjusting for inflation: Minimum wage
Minimum wage
Real wage
0
2
4
6
8
10
12
19
38
19
50
19
56
19
44
19
63
19
68
19
74
19
80
19
86
19
92
19
98
20
04
20
10
Dollars
• The nominal minimum
wage has steadily
increased since the
1940s.
• The real value has
fluctuated as Congress
has adjusted the nominal
value to try to keep up
with inflation.
925© 2014 by McGraw-Hill Education
• Purchasing power parity (PPP) refers to the
theory that purchasing power in different
countries should be the same when stated in a
common currency.
• In reality, PPP almost never holds because of
three main factors:
Accounting for price differences across places
Transaction costs Non-tradables
Trade restrictions
26© 2014 by McGraw-Hill Education
• Purchasing power indexes (PPIs) help describe
differences in prices across locations.
• Developing a purchasing power index is similar
to creating a price index:
1. Find a market basket of foods and services to
compare across countries.
2. Measure the price of the goods in each country.
3. Calculate the cost of purchasing the basket in
each country.
4. Build an index showing how much the basket
costs in each country relative to some base.
Purchasing power indexes
27© 2014 by McGraw-Hill Education
One example of a PPI is the Big Mac Index
• Uses McDonald’s Big Mac as the basket.
• Compares the price of a Big Mac in each country to the
U.S.
Purchasing power indexes
260 240 220 0 20 40 60 80
China
Thailand
Malaysia
Russia
Mexico
South Africa
South Korea
Singapore
Britain
Japan
Canada
Euro area
Brazil
Switzerland
Percent by which local currency is valued relative to the dollar
United States 4.20
4.16
3.82
3.75
3.19
2.70
2.45
2.55
2.34
2.46
2.44
4.63
4.43
5.68
6.81
Big Mac price in $
Cost of living is higher than U.S.
(Lower purchasing power of local
currency per nominal dollar)
Cost of living is lower than U.S.
(Higher purchasing power of local
currency per nominal dollar)
10
28© 2014 by McGraw-Hill Education
• The PPP-adjustment recalculates economic
statistics to account for differences in price
levels across countries.
• For example, to compare GDP across
countries:
PPI– adjusted GDP =
Nominal dollarsୡ୭୳୬୲୰୷ × [ ଵ(ଵ ି ୰୧ୡୣ ୪ୣ୴ୣ୪ ୟୢ୨୳ୱ୲୫ୣ୬୲ ୡ୭୳୬୲୰୷ )]
• The price level adjustment is the percentage
difference in purchasing power between the
two countries.
PPP-adjustment
29© 2014 by McGraw-Hill Education
Suppose Argentina has a GDP per capita of
$10,942 USD and that the cost of living is 30.2%
lower than the United States. What is the PPI-
adjusted GDP for Argentina?
Active Learning: Calculating PPI-adjusted GDP
30© 2014 by McGraw-Hill Education
• Market baskets are defined to help understand
how the overall cost of living has changed over
time.
– Holding goods and quantities constant isolates
price changes.
• Price indexes are constructed to help
summarize changes in price levels.
• The most commonly used price index is the
CPI.
Summary
11
31© 2014 by McGraw-Hill Education
• The inflation rate describes the size of changes
in the overall price level between years.
• Price indexes allow us to determine the
purchasing power of money from different
time periods.
• Purchasing power parity (PPP) is the idea that
price levels in different countries should be the
same once they are stated in a common
currency.
Summary
32© 2014 by McGraw-Hill Education
• PPP does not always hold true because of
transaction costs, non-tradables, and trade
restrictions.
• The BLS faces challenges with respect to what
items to include in the basket and how to
adjust for changes in consumption over time.
• Economic variables are recalculated using a
price index to account for differences in
purchasing power across countries.
Summary