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Consider an economy that produces only good A and good B. In year 1, this economy produced 12,000 units of good A and 8,000 units of good B. In year 2, this economy produced 11,000 units of good A and 8,500 units of good B. The per unit prices in each year are given in the table below. Year 1 Year 2Good A $500 $300Good B $550 $350Assuming year 1 to be the base year, find the level of inflation using GDP deflators. Group of answer choices9.8%12.11%10.1%13.7%

Question

Consider an economy that produces only good A and good B. In year 1, this economy produced 12,000 units of good A and 8,000 units of good B. In year 2, this economy produced 11,000 units of good A and 8,500 units of good B. The per unit prices in each year are given in the table below. Year 1 Year 2Good A 500500 300Good B 550550 350Assuming year 1 to be the base year, find the level of inflation using GDP deflators. Group of answer choices9.8%12.11%10.1%13.7%

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Solution

To calculate the level of inflation using GDP deflators, we first need to calculate the nominal GDP and real GDP for both years.

  1. Calculate the Nominal GDP: Nominal GDP is calculated as the sum of the quantity of goods produced multiplied by the current price of those goods.

    For Year 1: Nominal GDP = (Quantity of Good A * Price of Good A) + (Quantity of Good B * Price of Good B) Nominal GDP = (12,000 * 500)+(8,000500) + (8,000 * 550) = 6,000,000+6,000,000 + 4,400,000 = $10,400,000

    For Year 2: Nominal GDP = (11,000 * 300)+(8,500300) + (8,500 * 350) = 3,300,000+3,300,000 + 2,975,000 = $6,275,000

  2. Calculate the Real GDP: Real GDP is calculated as the sum of the quantity of goods produced multiplied by the base year price of those goods.

    For Year 2 (with Year 1 as the base year): Real GDP = (Quantity of Good A * Base Year Price of Good A) + (Quantity of Good B * Base Year Price of Good B) Real GDP = (11,000 * 500)+(8,500500) + (8,500 * 550) = 5,500,000+5,500,000 + 4,675,000 = $10,175,000

  3. Calculate the GDP Deflator: The GDP deflator is calculated as (Nominal GDP / Real GDP) * 100.

    For Year 1: GDP Deflator = (10,400,000/10,400,000 / 10,400,000) * 100 = 100

    For Year 2: GDP Deflator = (6,275,000/6,275,000 / 10,175,000) * 100 = 61.67

  4. Calculate the Inflation Rate: The inflation rate is calculated as the percentage change in the GDP deflator from the base year to the current year.

    Inflation Rate = [(GDP Deflator in Year 2 - GDP Deflator in Year 1) / GDP Deflator in Year 1] * 100 Inflation Rate = [(61.67 - 100) / 100] * 100 = -38.33%

This indicates deflation rather than inflation. The negative sign indicates that prices have fallen from Year 1 to Year 2. The options provided do not match the calculated result. Please check the data or the question again.

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