Question #119383
Based on your knowledge of the flexible accelerator model of investment, suppose you have information on initial capital stock in year 2009 to be Ȼ10,000, and that desired capital stock is Ȼ80,000. If the factor by which firms plan to close the gap between desired capital stock and actual capital stock is 0.15, how many years will take for the firms to meet the desired capital stock?
1
Expert's answer
2020-06-03T10:30:05-0400

Desiredcapitalstock=Ȼ80,000Desired capital stock=Ȼ80,000

Initialcapitalstock=Ȼ10,000Initial capital stock=Ȼ10,000

Factor=0.15Factor=0.15

Numberofyears=tNumber of years =t

Kt=vYtKt=vYt

Ȼ(80,000)(t)=(0.15/timesȻ10,000)(t)Ȼ(80,000)-(t)=(0.15/times Ȼ10,000)-(t)

(Ȼ80,000)t(Ȼ80,000)t

=(0.15)(Ȼ10,000)=(0.15)(Ȼ10,000)

Ȼ80,000=Ȼ1500tȻ80,000=Ȼ1500t

t=Ȼ80,000/Ȼ1500t=Ȼ80,000/Ȼ1500

ThereforeTherefore t=53.33t=53.33


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