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a. Brazils real GDP was 1,180 trillion reais in 2013 and 1,202 trillion reais in 2014. Brazils population was 198 million i

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Answer #1

(Question a)

(i)

Growth rate of RGDP = (1,202 / 1,180) - 1 = 1.0186 - 1 = 0.0186 = 1.86%

(ii)

RGDP per person = RGDP / Population

RGDP per person, 2013 = 1,180 / 198 = 5.96

RGDP per person, 2014 = 1,202 / 200 = 6.01

Growth rate in RGDP per person = (6.01 / 5.96) - 1 = 1.0084 - 1 = 0.0084 = 0.84%

(iii)

Let number of years be N. Then

6.01 x (1.0084)N = 2 x 6.01

(1.0084)N = 2

Taking natural log,

N x ln 1.0084 = ln 2

N x 0.0084 = 0.6931

N = 82.52 years

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