The rate of economic growth per capita in France from 1996 to 2000 was 1.9% per year, while in Korea over the same period it was 4.2%. Per capita real GDP was $28,900 in France in 2003, and $12,700 in Korea. Assume the growth rates for each country remain the same. 1. Compute the doubling time for France’s per capita real GDP. Use the rule of 72. 2. Compute the doubling time for Korea’s per capita real GDP. Use the rule of 72. 3. What will France’s per capita real GDP be in 2045? 4. What will Korea’s per capita real GDP be in 2045?

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andromache andromache · Answer 1 · 2020-08-09T06:19:09+02:00

Answer and Explanation:

The rule of 72 refers the time period in which your investment which you invest should be doubled

So based on the rule of 72, the computation is shown below:

1. doubling time for France per capita real GDP is

= Rule of 72 ÷ rate

= 72 ÷ 1.9

= 37.89 years

2. Doubling time for Korea per capita real GDP is

= Rule of 72 ÷ rate

= 72 ÷ 4.2

= 17.14 years

3. France per capita real GDP in year 2045 is

= Per capita read GDP × (1 + growth rate)^time period

= $28,900 × 1.019^42

= $63,710.88

4. Korea per capita real GDP in year 2045 is

= Per capita read GDP × (1 + growth rate)^time period

= $12,700 × 1.042^42

= $71,490.43

The time period 42 comes from

= 2045 - 2003

= 42 years