Consider a simple economy that produces two goods

Consider a simple economy that produces two goods: cupcakes and muffins. The following table shows the prices and quantities for the goods over a three-year period.

Prices and Quantities

Price of cupcakes ($)
Quantity of cupcakes
Price of muffins ($)
Quantity of muffins
Year

2012
2013
2014
1
2
4
100
125
115
5
4
4
100
95
92

The Correct Answer and Explanation is:

To analyze this economy over time, we can calculate the Nominal GDP, Real GDP, and GDP Deflator for each year.

Let’s assume 2012 is the base year, which means prices from 2012 will be used to compute Real GDP.


Step 1: Nominal GDP

Nominal GDP = (Price of Cupcakes × Quantity of Cupcakes) + (Price of Muffins × Quantity of Muffins)
Nominal GDP uses current year prices.

  • 2012: (1×100) + (5×100) = 100 + 500 = $600
  • 2013: (2×125) + (4×95) = 250 + 380 = $630
  • 2014: (4×115) + (4×92) = 460 + 368 = $828

Step 2: Real GDP (base year = 2012)

Real GDP = (Base Year Price of Cupcakes × Current Year Quantity) + (Base Year Price of Muffins × Current Year Quantity)

  • 2012: (1×100) + (5×100) = 100 + 500 = $600
  • 2013: (1×125) + (5×95) = 125 + 475 = $600
  • 2014: (1×115) + (5×92) = 115 + 460 = $575

Step 3: GDP Deflator

GDP Deflator = (Nominal GDP ÷ Real GDP) × 100

  • 2012: (600 / 600) × 100 = 100
  • 2013: (630 / 600) × 100 = 105
  • 2014: (828 / 575) × 100 ≈ 144

Explanation (300 words):

This problem illustrates how an economy’s production and pricing of goods—here, cupcakes and muffins—affect key economic measures over time: Nominal GDP, Real GDP, and the GDP Deflator. Nominal GDP reflects the market value of all final goods and services produced in a given year, using current prices. Real GDP, on the other hand, adjusts for inflation by holding prices constant at base year levels—in this case, 2012—so that only changes in quantity affect the result. This makes Real GDP a better measure of actual output changes over time.

In 2012, both Nominal and Real GDP were $600 because it was the base year. In 2013, Nominal GDP increased to $630, but Real GDP remained at $600. This indicates that the total quantity of goods produced did not grow significantly—there was a slight increase in cupcakes and a decrease in muffins—but the prices changed, with cupcake prices doubling and muffin prices decreasing slightly. Hence, the GDP Deflator rose to 105, reflecting a moderate rise in the overall price level.

By 2014, Nominal GDP jumped to $828 due to a further increase in cupcake prices. However, Real GDP actually fell to $575, showing a drop in actual production, especially muffins. The GDP Deflator surged to 144, indicating significant inflation—output value increased mainly due to higher prices, not more production.

Thus, these calculations highlight the importance of separating price effects from real growth when analyzing an economy. The GDP Deflator serves as a useful indicator of inflation within an economy over time.

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