Consider an economy in which the labour force grows by 2.7 percent per annum, while the capital stock grows by 4 percent per annum. Suppose 55 percent of national income goes to labour and 45 percent to capital. If the Solow residual were zero what rate of growth would the economy achieve? The country's actual rate of growth has been 4.5 percent per annum, which is faster than the growth rate generated by the accumulation of capital and labour stocks. Calculate the value of the residual. Which input, capital or labour contributes most to the 4.5% growth in output? What proportion of the growth in output is the contribution of capital and labour?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
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Chapter20: Economic Growth In The Global Economy
Section: Chapter Questions
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Question 3
a) Consider an economy in which the labour force grows by 2.7 percent per
annum, while the capital stock grows by 4 percent per annum. Suppose 55
percent of national income goes to labour and 45 percent to capital.
i.
If the Solow residual were zero what rate of growth would the economy
achieve?
ii. The country's actual rate of growth has been 4.5 percent per annum, which
is faster than the growth rate generated by the accumulation of capital
and labour stocks. Calculate the value of the residual.
iii. Which input, capital or labour contributes most to the 4.5% growth in
output? What proportion of the growth in output is the contribution of
capital and labour?
b) From 2001 to 2020 Ghana's growth rate averaged 5.3 percent per year.
The period's production function was Y=F (K, H, AL), where all variables
have their usual meaning. A recent growth-accounting study showed that
the residual accounted for only 0.8 percent per year to the growth rate.
This growth-accounting analysis used weights of 0.43 for labour (L) and
0.36 for physical capital (K):
4
i.) Ghana's labour force and human capital grew by 4.6 percent and
5.8 percent respectively per year during this period. What can you
conclude about the annual growth rate of Ghana's capital stock
(physical capital stock)?
ii.)
What fraction of the overall 5.3 percent growth rate is attributable
to capital investment (physical and human capital combined)?
Transcribed Image Text:Question 3 a) Consider an economy in which the labour force grows by 2.7 percent per annum, while the capital stock grows by 4 percent per annum. Suppose 55 percent of national income goes to labour and 45 percent to capital. i. If the Solow residual were zero what rate of growth would the economy achieve? ii. The country's actual rate of growth has been 4.5 percent per annum, which is faster than the growth rate generated by the accumulation of capital and labour stocks. Calculate the value of the residual. iii. Which input, capital or labour contributes most to the 4.5% growth in output? What proportion of the growth in output is the contribution of capital and labour? b) From 2001 to 2020 Ghana's growth rate averaged 5.3 percent per year. The period's production function was Y=F (K, H, AL), where all variables have their usual meaning. A recent growth-accounting study showed that the residual accounted for only 0.8 percent per year to the growth rate. This growth-accounting analysis used weights of 0.43 for labour (L) and 0.36 for physical capital (K): 4 i.) Ghana's labour force and human capital grew by 4.6 percent and 5.8 percent respectively per year during this period. What can you conclude about the annual growth rate of Ghana's capital stock (physical capital stock)? ii.) What fraction of the overall 5.3 percent growth rate is attributable to capital investment (physical and human capital combined)?
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