关于宏观经济学,柯布道格拉斯指数,稳态的资本劳动比率的计算AssumeaCobb-Douglasproductionfunction,wheretheshareoflabor(N)andcapital(K)iseach1/2andA=1.Ifthegrowthrateoflaborisn=0.06,therateofdepreciati

Question

关于宏观经济学,柯布道格拉斯指数,稳态的资本劳动比率的计算
Assume a Cobb-Douglas production function, where the share of labor(N) and capital(K) is each 1/2 and A=1.If the growth rate of labor is n=0.06, the rate of depreciation is d=0.04,and the saving rate is s=0.2, what is the value of the steady-state capital-labor ratio? 答案是4,怎么算的?
会的朋友但感觉分数少的尽管要,以前问好多问题都没人回答分数都浪费了,这次把分数给在提高悬赏和采纳后增加悬赏上吧希望能相信我～
我会做了谁来把分拿走

Answer 1

kt+1-kt=sf(kt)-(d+n)kt
s.s so kt+1-kt=0 and sf(kt)-(d+n)kt=0
0.2f(k*)=0.1k
according to the Cobb-Douglas production function
f(k)=k^1/2
so k^1/2=k*1/2
k=1/4k^2
k=4
但愿没算错.唉.