A “miraculous" Asian economy has an aggregate wage bill of 300 billion dollars and an aggregate GDP of 500 billion. The annual growth rate of aggregate GDP for this economy over the last 10 years was 7 percent (that is AY/Y=0.07) and the growth rate of labor was 6 percent (AL/L=0.06). Imagine that the production function is given by the standard Cobb-Douglas AK*L-. Y = a. What are the "capital share (a)" and the "labor share (1 – a)"? b. Imagine that the government controls the national accounts. In its quest to improve its reputation, the government mistakenly thinks that having "a lot of investment" will make it look good so it "inflates" its growth of capital number to 12% (AK/K=0.12). When researchers estimate the rate of productivity growth (AA/A), what will they find? Is the growth rate of technology positive or negative? Does your result in (b) make sense? d. The actual truth is that the growth rate of capital was one half of what it announced. That is, instead of 12% the growth rate of capital was only 6%. What was the true rate of productivity growth? e. What did the government accomplish by inflating the capital numbers? C.

A “miraculous" Asian economy has an aggregate wage bill of 300 billion dollars and an aggregate GDP of 500 billion. The annual growth rate of aggregate GDP for this economy over the last 10 years was 7 percent (that is AY/Y=0.07) and the growth rate of labor was 6 percent (AL/L=0.06). Imagine that the production function is given by the standard Cobb-Douglas AK*L-. Y = a. What are the "capital share (a)" and the "labor share (1 – a)"? b. Imagine that the government controls the national accounts. In its quest to improve its reputation, the government mistakenly thinks that having "a lot of investment" will make it look good so it "inflates" its growth of capital number to 12% (AK/K=0.12). When researchers estimate the rate of productivity growth (AA/A), what will they find? Is the growth rate of technology positive or negative? Does your result in (b) make sense? d. The actual truth is that the growth rate of capital was one half of what it announced. That is, instead of 12% the growth rate of capital was only 6%. What was the true rate of productivity growth? e. What did the government accomplish by inflating the capital numbers? C.

ECON MACRO

5th Edition

ISBN:9781337000529

Author:William A. McEachern

Publisher:William A. McEachern

Chapter8: Productivity And Growth

Section: Chapter Questions

Problem 2.4P

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