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2. Two economies, A and B, had the same level of output in year 1920. Economy A has grown 2% a year on average. By year 1992,

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Answer #1

From 1920 to 1992, that is, within 72 years, the GDP of economy B became twice of GDP of economy A

Initially both had same GDP

This implies that GDP A = GDP B at the beginning

GDP B (1 + rB)^72 = 2 * GDP A (1 + rA)^72

GDP A (1 + rB)^72 = 2 * GDP A (1 + 2%)^72

(1 + rB)^72 = 8.3222

rB = 8.3222^(1/72) - 1 = 2.98%

Hence, growth rate of economy B is 2.98%

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