Question: P- adult population, L-labor force, E- employed, U-unemployed, L=E+U, e=E/P - employment rate, m=L/P - participation rate, u=U/L - unemployment rate, U+E=L, u+e=1, a -

P- adult population, L-labor force, E- employed, U-unemployed, L=E+U, e=E/P - employment rate, m=L/P - participation rate, u=U/L - unemployment rate, U+E=L, u+e=1, a - accession rate, s-separation rate, u(t+1)= u(t)+s*e(t)-a*u(t), u(t+1) = s(1-u(t))-a*u(t), steady-state unemployment rate = s/(s+a), =1-(s+a) - speed-of-adjustment parameter; smaller corresponds to a more dynamic labor market. Assume 0 < s+a < 1. If capital K=const, then with the Cobb-Douglas production function the demand for labor is L=K*(p(1-)A/w)^(1/), where p is price of one unit of output, w is wage. Given: P=250, E=120, U=15. a=0.5, s=0.01. Find the steady-state unemployment rate

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