How to Measure the Cost of Living

Description
Cost of living is the cost of maintaining a certain standard of living. Changes in the cost of living over time are often operationalized in a cost of living index. Cost of living calculations are also used to compare the cost of maintaining a certain standard of living in different geographic areas.

Measuring the Cost of Living

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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.

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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 Bureau of Labor Statistics reports the CPI each month. • It is used to monitor changes in the cost of living over time.

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THE CONSUMER PRICE INDEX
• When the CPI rises, the typical family has to spend more dollars to maintain the same standard of living.

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How the Consumer Price Index Is Calculated
• 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.

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How the Consumer Price Index Is Calculated
• Find the Prices: Find the prices of each of the goods and services in the basket for each point in time.

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How the Consumer Price Index Is Calculated
• Compute the Basket’s Cost: Use the data on prices to calculate the cost of the basket of goods and services at different times.

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How the Consumer Price Index Is Calculated
• 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.

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How the Consumer Price Index Is Calculated
• Compute the inflation rate: The inflation rate is the percentage change in the price index from the preceding period.

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How the Consumer Price Index Is Calculated
• The Inflation Rate
• The inflation rate is calculated as follows:
CPI in Year 2 - CPI in Year 1 Inflation Rate in Year 2 = ? 100 CPI in Year 1

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Table 1 Calculating the Consumer Price Index and the Inflation Rate: An Example

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Table 1 Calculating the Consumer Price Index and the Inflation Rate: An Example

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Table 1 Calculating the Consumer Price Index and the Inflation Rate: An Example

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Table 1 Calculating the Consumer Price Index and the Inflation Rate: An Example

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Table 1 Calculating the Consumer Price Index and the Inflation Rate: An Example

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How the Consumer Price Index Is Calculated
• Calculating the Consumer Price Index and the Inflation Rate: Another Example
• • • • • Base Year is 2002. Basket of goods in 2002 costs $1,200. The same basket in 2004 costs $1,236. CPI = ($1,236/$1,200) ? 100 = 103. Prices increased 3 percent between 2002 and 2004.

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FYI: What’s in the CPI’s Basket?

16% Food and beverages

17% Transportation

41% Housing

Education and communication

6% 6% 6% 4% 4%

Medical care

Recreation

Apparel

Other goods and services
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Problems in Measuring the Cost of Living
• The CPI is an accurate measure of the selected goods that make up the typical bundle, but it is not a perfect measure of the cost of living.

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Problems in Measuring the Cost of Living
• Substitution bias • Introduction of new goods • Unmeasured quality changes

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Problems in Measuring the Cost of Living
• Substitution Bias
• The basket does not change to reflect consumer reaction to changes in relative prices.
• Consumers substitute toward goods that have become relatively less expensive. • The index overstates the increase in cost of living by not considering consumer substitution.

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Problems in Measuring the Cost of Living
• Introduction of New Goods
• The basket does not reflect the change in purchasing power brought on by the introduction of new products.
• New products result in greater variety, which in turn makes each dollar more valuable. • Consumers need fewer dollars to maintain any given standard of living.

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Problems in Measuring the Cost of Living
• Unmeasured Quality Changes
• If the quality of a good rises from one year to the next, the value of a dollar rises, even if the price of the good stays the same. • If the quality of a good falls from one year to the next, the value of a dollar falls, even if the price of the good stays the same. • The BLS tries to adjust the price for constant quality, but such differences are hard to measure.

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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.

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The GDP Deflator versus the Consumer Price Index
• The GDP deflator is calculated as follows:

Nominal GDP GDP deflator = ? 100 Real GDP

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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.

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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.

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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.

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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.

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Figure 2 Two Measures of Inflation
Percent per Year 15
CPI

10

5

GDP deflator

0

1965

1970

1975

1980

1985

1990

1995

2000
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CORRECTING ECONOMIC VARIABLES FOR THE EFFECTS OF INFLATION
• Price indexes are used to correct for the effects of inflation when comparing dollar figures from different times.

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Dollar Figures from Different Times
• Do the following to convert (inflate) Babe Ruth’s wages in 1931 to dollars in 2001:
Salary2001 Price level in 2001 ? Salary1931 ? Price level in 1931 177 ? $80,000 ? 15.2 ? $931,579
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Table 2 The Most Popular Movies of All Times, Inflation Adjusted

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Indexation
• When some dollar amount is automatically corrected for inflation by law or contract, the amount is said to be indexed for inflation.

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Real and Nominal Interest Rates
• Interest represents a payment in the future for a transfer of money in the past.

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Real and Nominal Interest Rates
• The nominal interest rate is the interest rate usually reported and not corrected for inflation.
• It is the interest rate that a bank pays.

• The real interest rate is the nominal interest rate that is corrected for the effects of inflation.

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Real and Nominal Interest Rates
• You borrowed $1,000 for one year. • Nominal interest rate was 15%. • During the year inflation was 10%. Real interest rate = Nominal interest rate – Inflation = 15% - 10% = 5%

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Figure 3 Real and Nominal Interest Rates
Interest Rates (percent per year) 15

10

Nominal interest rate

5

0 Real interest rate –5 1965 1970 1975 1980 1985 1990 1995 2000

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Summary
• 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.

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Summary
• 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.

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Summary
• 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.

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Summary
• 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.

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