Evaluating an Economic Comparison
A large corporation is negotiating with its employee union. The corporation's management presents the following data to argue that employee wages have successfully kept pace with the cost of living over the past decade:
- The corporation's average nominal wage index, using 10 years ago as the base year, has risen from 100 to 130.
- The national consumer price index, using 15 years ago as the base year, has risen from 110 to 143 during the same 10-year period.
Management's conclusion is: "Our wages grew by 30% (from 100 to 130), and the cost of living also grew by 30% (from 110 to 143). Therefore, our employees' purchasing power has been maintained."
Critically evaluate the methodology used by the corporation's management. Is their conclusion that purchasing power has been maintained necessarily correct? Explain your reasoning.
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Formula for Real Wage Index
Figure 1.9: US Nominal Wage, Consumer Price, and Real Wage Indices (2010–2022)
Figure 1.10: Nominal Wage, Consumer Price, and Real Wage Indices for the UK and Italy (2010–2022)
An economist is analyzing economic data for a small country. The table below shows the index for average nominal wages and the index for consumer prices over a four-year period. Year 1 is the base year for both indices.
Year Nominal Wage Index Consumer Price Index 1 100 100 2 105 102 3 110 108 4 118 112 Based on this data, during which one-year period did the purchasing power of the average worker's wages increase the most?
Interpreting Wage and Price Indices
Analyzing Purchasing Power Trends
In a given economy, over a five-year period, the index for average nominal wages increased from 100 to 120. During the same period, the index for consumer prices increased from 100 to 125. Based on this information, the average worker's purchasing power has increased over this five-year period.
An economist wants to compare the trend in average nominal wages with the trend in consumer prices over a period of several years to understand how purchasing power has changed. Arrange the steps below into the correct logical sequence for creating and using index numbers for this purpose.
An economic analyst is using index numbers to compare wage and price trends, with a specific year chosen as the base year (where all indices are set to 100). Match each economic observation for a subsequent year with the corresponding mathematical relationship or value(s) for the Nominal Wage Index and the Consumer Price Index for that year.
An economist is tracking wage growth and sets Year 1 as the base year, with an average nominal wage of $50,000 and a wage index of 100. In Year 2, the average nominal wage rises to $52,500. The nominal wage index for Year 2 would be ____.
Constructing an Economic Argument with Index Numbers
An economic analyst is comparing wage and price trends in two different countries, Country X and Country Y, over a decade. Both countries use the start of the decade as the base year (Index = 100). At the end of the decade, the data is as follows:
- Country X: Nominal Wage Index = 125, Consumer Price Index = 120
- Country Y: Nominal Wage Index = 115, Consumer Price Index = 105
The analyst concludes: "Workers in Country X experienced a better outcome because their nominal wages grew by 25%, which is a much larger increase than the 15% wage growth in Country Y."
Which of the following statements best evaluates the analyst's conclusion?
Evaluating an Economic Comparison