The fictitious country "Alpha" has a real GDP per person of $10,000.
Instructions: Enter your responses rounded to two decimal places.
a. If Alpha has a 1% growth rate in real GDP per person, then after 10 years Alpha's real GDP per person is $ .
b. If Alpha has a 3% growth rate in real GDP per person, then after 10 years Alpha's real GDP per person is $ .
c. After 10 years, the difference in Alpha's real GDP per person based on the two growth rates is $ .
Answer : a) Per year growth rate of per person real GDP is 1%. So, per year growth of per person real GDP = Current real GDP * 1% = 10,000 * 1% = $100.
After 10 years the growth of per person real GDP = 10 * 100 = $1000.
So, after 10 years the Alpha's real GDP per person is (10,000 + 1,000) = $11,000.
b) Per year growth rate of per person real GDP is 3%. So, per year growth of per person real GDP = Current real GDP * 3% = 10,000 * 3% = $300.
After 10 years the growth of per person real GDP = 10 * 300 = $3000.
So, after 10 years the Alpha's real GDP per person is (10,000 + 3,000) = $13,000.
c) Based on above two growth rates, after 10 years the difference between Alpha's per person real GDP = 13,000 - 11,000 = $2,000.
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