Math Problem Statement

Fill in the missing values in the table based on Nominal GDP, Real GDP, and Price Index values.

Solution

To fill in the missing values, we can use the formula for the Price Index (GDP Deflator):

Price Index=(Nominal GDPReal GDP)×100\text{Price Index} = \left( \frac{\text{Nominal GDP}}{\text{Real GDP}} \right) \times 100

We can rearrange the formula to calculate any missing value. Let's calculate the missing entries:

  1. Year 1: Missing Real GDP

    • Given: Nominal GDP = 15,314.4, Price Index = 101.9
    • Using the formula for Real GDP:

    Real GDP=Nominal GDPPrice Index×100\text{Real GDP} = \frac{\text{Nominal GDP}}{\text{Price Index}} \times 100

    Real GDP=15,314.4101.9×100=15,033.7\text{Real GDP} = \frac{15,314.4}{101.9} \times 100 = 15,033.7

  2. Year 4: Missing Nominal GDP

    • Given: Real GDP = 15,962.2, Price Index = 107.6
    • Using the formula for Nominal GDP:

    Nominal GDP=Price Index100×Real GDP\text{Nominal GDP} = \frac{\text{Price Index}}{100} \times \text{Real GDP}

    Nominal GDP=107.6100×15,962.2=17,174.3\text{Nominal GDP} = \frac{107.6}{100} \times 15,962.2 = 17,174.3

  3. Year 5: Missing Price Index

    • Given: Nominal GDP = 17,743.1, Real GDP = 16,332.2
    • Using the formula for Price Index:

    Price Index=17,743.116,332.2×100=108.6\text{Price Index} = \frac{17,743.1}{16,332.2} \times 100 = 108.6

Now, the completed table should be:

YearNominal GDP (Billions)Real GDP (Billions)Price Index (Year 0 = 100)
115,314.415,033.7101.9
215,985.415,370.6104.0
316,505.315,704.7105.1
417,174.315,962.2107.6
517,743.116,332.2108.6
618,386.6(given)110.7

Would you like further clarification on any of the steps, or help with another part of the problem?

Relative Questions:

  1. What is the difference between Nominal and Real GDP?
  2. How does the Price Index impact GDP growth?
  3. How can inflation affect the Nominal GDP?
  4. What role does the GDP deflator play in measuring economic performance?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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

-

Suitable Grade Level

High School or Undergraduate Economics