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Consider a closed controlled economy with unlimited supplies of labor in which the incremental capital output ratio is 4 and the rate of population growth is 1.5% per annum. if the economy wants to attain a growth rate of per capita income of 6% per annum, what must be the savings rate in percent in the economy?
OPTIONS (A) 24 (B) 27.5 (C)30 (D) 36
Incremental capital output ratio(ICOR) = dK/dY = 4
Population growth rate = dN/N = 0.015
Growth rate of per capita income = dY/Y - dN/N = 0.06
Growth rate of income = dY/Y = 0.075
Now in equilibrium Savings becomes Capital, so saving rate = S/Y= dK/Y
Using ICOR above, (dK/Y)/(dY/Y) = 4
dK/Y = 4dY/Y = 0.3 i.e. 30%
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