着急求一道宏观经济学计算题,很着急!!!英语的
assumethatacountrysper-workerproductionisy=根号下k,whereyisoutputperworkerandkiscapitalp...
assume that a countrys per-worker production is y=根号下k,where y is output per worker and k is capital per worker,assume also that 8 percent of capital depreciates per year and population(workers) grows at 2 percent per year
1 if the saving rate SR is 0.4,what are capital per worker,production per worker,and consumption per worker in the steady state
2 define the golden rule and calculate the golden rule capital stock per worker and the golden rule saving rate 展开
1 if the saving rate SR is 0.4,what are capital per worker,production per worker,and consumption per worker in the steady state
2 define the golden rule and calculate the golden rule capital stock per worker and the golden rule saving rate 展开
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1、已知人均产出y=k^0.5,折旧率δ=8%,人口增长率n=2%,储蓄率s=0.4
稳态条件为sy=(δ+n)k
代入已知,可解得人均资本k=16,人均产出=4,人均消费=(1-0.4)×4=2.4
2、黄金律是能够实现消费最大的稳态资本量。
黄金律条件为y'=(δ+n),即0.5k^-0.5=0.08+0.02,解得k=25
再代入稳态条件,可得s=0.5
稳态条件为sy=(δ+n)k
代入已知,可解得人均资本k=16,人均产出=4,人均消费=(1-0.4)×4=2.4
2、黄金律是能够实现消费最大的稳态资本量。
黄金律条件为y'=(δ+n),即0.5k^-0.5=0.08+0.02,解得k=25
再代入稳态条件,可得s=0.5
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