Question

Assume there are two countries: South Korea and the United States. South Korea grows at 4% and the United States grows at 1%. For the sake of simplicity, assume they both start from the same fictional income level, $10,000. What will the incomes of the United States and South Korea be in 20 years? By how many multiples will each country’s income grow in 20 years?

Answer 1

Answer:

The US income will be $12,201 and South Korea's income will be $21,911. US income will grow by multiple of 1.2 while South Korea's GDP will grow by multiples of 2.19.

Explanation:

Initial income of both the countries is $10,000.

Growth rate of South Korea is 4%.

Growth rate of US is 1%.

In 20 years, South Korea's income will be,

=Initial income*$(1+growth rate)^{n}$

=$10,000*$(1+0.04)^{20}$

=$10,000*2.1911

=$21,911

Similarly, we can find US income.

=Initial income*$(1+growth rate)^{n}$

=$10,000*$(1+0.01)^{20}$

=$10,000*1.2201

=$12,201

So, South Korea's income is $21,911 while US's income is $12,201.

South Korea's income grows by the multiples of 2.1911. While, US's income grows by the multiples of 1.2201