Question

An economy initially has 200 units of physical capital per worker. Each year, it increases the amount of physical capital by 10%. According to the aggregate production function for this economy, each 1% increase in physical capital per worker, holding human capital and technology constant, increases output per worker by 0.25%. In three years' time, what is the level of physical capital per worker in this economy?

Answer 1

Answer:

266,2 units of capital per worker

Explanation:

The capital growth as stated is compound growth. Since technology and human capital are constant, there is not expected changed in productivity factors relationship, so the formula for compound growth, in this case, is: capital per worker in 3 years' time = capital per worker * (1+ annual rate growth) ^ 3. Computing numbers would be: capital per worker in 3 years' time = 200*(1+10)^3= 266,2