1) Let the growth rate of X, be defined as the log difference a (X,) = log Xạ – log X-1. For variables X, and Y, show that the growth rate of the quotient equals the difference of the growth rates, g 9(X4) – a (Y).

1) Let the growth rate of X, be defined as the log difference a (X,) = log Xạ – log X-1. For variables X, and Y, show that the growth rate of the quotient equals the difference of the growth rates, g 9(X4) – a (Y).

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter5: Business And Economic Forecasting

Section: Chapter Questions

Problem 1.4CE

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Question

1) Let the growth rate of X, be defined as the log difference a (X4) = log X – log X-1. For variables
X, and Y, show that the growth rate of the quotient equals the difference of the growth rates, g
g(Xt) – g (Y:).

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