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# Use Okun's law to determine the size of the GDP gap

Assume the following data for a country: total population, 500; population under 16 years of age or institutionalized, 120; not in labor force, 150; unemployed, 23; part-time workers looking for full-time jobs, 10. What is the size of the labor force? What is the official unemployment rate?
3. Suppose that the natural rate of unemployment in a particular year is 5 percent and the actual rate of unemployment is 9 percent. Use Okun's law to determine the size of the GDP gap in percentage-point terms. If the potential GDP is \$500 billion in that year, how much output is being forgone because of cyclical unemployment?
4. If the CPI was 110 last year and is 121 this year, what is this year's rate of inflation? In contrast, suppose that the CPI was 110 last year and is 108 this year. What is this year's rate of inflation? What term do economists use to describe this second outcome?
6. If your nominal income rose by 5.3 percent and the price level rose by 3.8 percent in some year, by what percentage would your real income (approximately) increase? If your nominal income rose by 2.8 percent and your real income rose by 1.1 percent in some year, what must have been the (approximate) rate of inflation?

Hello, and thanks for your question.

2. Labor force = 500 - (120 + 150) = 230

Official unemployment rate (unemployed / labor force) = (23 / 230) = 10%

3. GDP gap = (9% - 5%) x 2 = 8%

Forgone output estimated at (8% of \$500 billion) = \$40 billion

4. (a) This year's rate of inflation = (121 - 110) / 110 = 10%

(b) This year's rate of inflation = (108 - 110) / 110 = -1.82%

(c) A negative rate of inflation is referred to as "deflation"

6. (a) Real income % increase (approx.) = (5.3% - 3.8%) = 1.5%

(b) Rate of inflation (approx.) = (2.8% - 1.1%) = 1.7%

Hope this helps!

Customer: replied 5 years ago.