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Calculating the US Nominal Wage Index (2010-2012)
This example demonstrates how to build a nominal wage index using US data. The year 2010 is selected as the base year, with the average weekly wage of $746 set to an index value of 100. In 2011, the wage grew to $756, a 1.3% increase. The index for 2011 is calculated by applying this growth to the previous year's index: $100 \times 1.013 = 101.3. For 2012, the wage rose to \768, a 1.6% increase from the 2011 level. The 2012 index is then updated from the 2011 value: $101.3 \times 1.016 \approx 102.9$.
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Calculating the US Nominal Wage Index (2010-2012)
An economic analyst is creating a wage index for a country. In the base year, 2020, the average weekly wage was $800. In 2021, the wage increased to $824. In 2022, the wage increased by an additional 2% from the 2021 level. What is the wage index for 2022, using 2020 as the base year?
Review of a Nominal Wage Index Calculation
Procedural Error in Index Construction
You are tasked with constructing a nominal wage index from a dataset of annual wages. Arrange the following steps in the correct chronological order.
In a country's economic data, the nominal wage index was 110 in the year 2020 and rose to 115 in the year 2021. The base year for this index is 2015. Which of the following statements most accurately describes the change in average nominal wages between 2020 and 2021?
An economic report shows that a nominal wage index was 112.0 in the year 2020 and rose to 115.36 in 2021. If the average nominal wage in 2020 was $800, what was the average nominal wage in 2021?
Impact of Base Year Selection on a Nominal Wage Index
True or False: When constructing a nominal wage index, the index for any given year is always calculated by finding the percentage difference between that year's wage and the base year's wage, and then applying this percentage to the base index value of 100.
You are an economist analyzing annual wage data. Match each scenario describing a year's nominal wage data with the correct resulting wage index value, based on the standard method for constructing such an index.
Interpreting Changes in a Nominal Wage Index
Figure 1.6: US Nominal Wage Index (2010–2022)
Similarity in Constructing CPI and Nominal Wage Index
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A country's average weekly nominal wage was $500 in the base year (Year 1), $520 in Year 2, and $533 in Year 3. If the wage index is set to 100 for the base year, what is the wage index for Year 3, rounded to one decimal place?
Error Analysis in Wage Index Calculation
You are tasked with creating a nominal wage index for a three-year period. The average weekly wage was $800 in the base year (Year 1), $824 in Year 2, and $850 in Year 3. Arrange the following steps in the correct chronological order to calculate the final index for Year 3.
Analyzing Wage Growth with an Index
Suppose a country's nominal wage index is 120 for a given year. The following year, the average nominal wage increases by 10%. The new nominal wage index for the following year would be 130.
In a certain country, the average weekly nominal wage was $600 in the base year, which is assigned an index value of 100. The following year, the wage rose to $630. In the third year, it increased to $655.20. The nominal wage index for the third year is ____. (Round to one decimal place if necessary).
An economist is creating a nominal wage index. The average weekly wage was $400 in the base year (Year 1), $410 in Year 2, and $430.50 in Year 3. Match each year with its corresponding calculation result, which includes the percentage wage increase from the previous year and the resulting index value (rounded to one decimal place).
Limitations of the Nominal Wage Index
An economy's nominal wage index, with Year 1 as the base, was 105.0 for Year 2. In Year 3, the index rose to 108.15. What was the percentage increase in the average nominal wage from Year 2 to Year 3?
An analyst is constructing a nominal wage index. In the base year (Year 1), the average weekly wage was $1,000. In Year 2, the wage rose to $1,050. In Year 3, the wage rose further to $1,155. If the index for the base year is 100, what is the correct index value for Year 3?