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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.<

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.<

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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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