Assume we have two economies. Economy A has a level of GDP per capita of Ya(0) which is higher than Yb(0) but it is growing at a yearly rate of ga which is lower than that of B, gb. Q: Use the rules of the logs to find an expression in terms of Ya(0), Yb(0), ga, and gb for the period, t*, where the poor economy catches up with the rich economy, i.e. when GDP per capita in both economies coincide. Show your derivations.<

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter20: Economic Growth In The Global Economy
Section: Chapter Questions
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Assume we have two economies. Economy A has a level of
GDP per capita of Ya(0) which is higher than Yb(0) but it is
growing at a yearly rate of ga which is lower than that
of B, gb.
Q: Use the rules of the logs to find an expression in terms of
Ya(0), Yb(0), ga, and gb for the period, t*, where the poor
economy catches up with the rich economy, i.e. when GDP per
capita in both economies coincide. Show your derivations.<
Transcribed Image Text:Assume we have two economies. Economy A has a level of GDP per capita of Ya(0) which is higher than Yb(0) but it is growing at a yearly rate of ga which is lower than that of B, gb. Q: Use the rules of the logs to find an expression in terms of Ya(0), Yb(0), ga, and gb for the period, t*, where the poor economy catches up with the rich economy, i.e. when GDP per capita in both economies coincide. Show your derivations.<
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