Math Problem Statement
Solution
To fill in the missing values, we can use the formula for the Price Index (GDP Deflator):
We can rearrange the formula to calculate any missing value. Let's calculate the missing entries:
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Year 1: Missing Real GDP
- Given: Nominal GDP = 15,314.4, Price Index = 101.9
- Using the formula for Real GDP:
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Year 4: Missing Nominal GDP
- Given: Real GDP = 15,962.2, Price Index = 107.6
- Using the formula for Nominal GDP:
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Year 5: Missing Price Index
- Given: Nominal GDP = 17,743.1, Real GDP = 16,332.2
- Using the formula for Price Index:
Now, the completed table should be:
Year | Nominal GDP (Billions) | Real GDP (Billions) | Price Index (Year 0 = 100) |
---|---|---|---|
1 | 15,314.4 | 15,033.7 | 101.9 |
2 | 15,985.4 | 15,370.6 | 104.0 |
3 | 16,505.3 | 15,704.7 | 105.1 |
4 | 17,174.3 | 15,962.2 | 107.6 |
5 | 17,743.1 | 16,332.2 | 108.6 |
6 | 18,386.6 | (given) | 110.7 |
Would you like further clarification on any of the steps, or help with another part of the problem?
Relative Questions:
- What is the difference between Nominal and Real GDP?
- How does the Price Index impact GDP growth?
- How can inflation affect the Nominal GDP?
- What role does the GDP deflator play in measuring economic performance?
- How can we calculate the inflation rate using the Price Index?
Tip: The Price Index is essential for adjusting for inflation, allowing you to compare economic data across different time periods.
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Math Problem Analysis
Mathematical Concepts
Macroeconomics
Algebra
GDP Deflation
Formulas
Price Index = (Nominal GDP / Real GDP) × 100
Real GDP = (Nominal GDP / Price Index) × 100
Nominal GDP = (Price Index / 100) × Real GDP
Theorems
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Suitable Grade Level
High School or Undergraduate Economics