In: Economics
Question 1:Fact I:Consider the following setup that follows the
standard Solow model in Country A.There are N consumers,each
endowed with one unit of available time.Consumers do not value
leisure and they divide output between consumption and
savings
according to the following rule:a fraction s of output is saved,and
the rest is consumed.There is a representative firm that has a
Cobb-
Douglas production technology of the form Y=zF(K,N),where K denotes
capital,N denotes Labour,z is(Total Factor Productivity
(TFP).Initially country A had 100 units of Capital,144 units of
labour and population growth rate was 0.01.Suppose you are
given
the fact that in this economy depreciation d is 0.09 and at steady
state,the output per-capita could be expressed as
y*=(k*)05.Now,
consider the unfortunate situation where a disease took several
lives,reducing the number of labour force equal to 81 units.
1.1 Describe and explain changes/effect of this disease on country
A's per-capita output,and per capita capital in the steady
state,comparing these with the initial steady state that was
prevailing before the disaster.(Note:you are supposed to
describe and explain changes in detail,following Solow Model.The
numbers are provided to give you more details
about the economy,but you are not required to provide mathematical
derivations/numbers for this question).
1.2 If you were illustrating the old and new steady state in a
diagram,with per-capita capital in x-axis,describe how your
graph would change before and after the disease.Would you expect
the growth rate of output per worker in country
A smaller or greater than it was before the disease?