GDP per Capita Growth and Rule of 72
Current Year 
Previous Year 
Growth Rate 

Real GDP 
$8.4 trillion 
$8.0 trillion 

Population 
202 million 
200 million 

GDP per Capita 
$ 
$ 
Formulas you could use:
The table above is the data for country D, a developed country.
(1)
Annual growth rate, real GDP = (8.4 / 8)  1 = 1.05  1 = 0.05 = 5%
(2)
Annual growth rate, population = (202 / 200)  1 = 1.01  1 = 0.01 = 1%
(3)
GDP per capita = Real GDP / Population
Previous year = (8 x 1,000 x 1,000 million) / 200 million = $40,000
Current year = (8.4 x 1,000 x 1,000 million) / 202 million = $41,584.16
(4)
Annual growth rate, GDP per capita = (41,584.16 / 40,000)  1 = 1.0396  1 = 0.0396 = 3.96%
(5)
GDP per capita after 18 years ($) = 41,584.16 x (1.0396)^{18} = 41,584.16 x 2.0118 = 83,660.57
(6)
Doubling period = 72 / Growth rate of GDP per capita = 72 / 3.96 = 18.18 years
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