點計PV, FV, annunity

2007-12-04 8:34 am
例如:
An investment of $400,000 is made for a machine which will reduce labour expense. the labour cost each year (assume to be paid at the end of the year) will be reduced by $90,000. What must be the minimum usefull life of the machine for the investment to meet the 10% cost of capital criterion?

回答 (1)

2007-12-05 2:57 am
✔ 最佳答案

圖片參考:http://i.investopedia.com/inv/dictionary/terms/NPV.gif

C0: $400,000
Ct: $90,000
r=10%
In order to justify such an investment, NPV≧0
If t=1, NPV= -$318,182
If t=2, NPV = -$243,802
If t=3, NPV = -$176,183
If t=4, NPV = -$114,712
If t=5, NPV = -$58,829
If t=6, NPV = -$8,027
If t=7, NPV = $38,158
Therefore, the minimum useful life of the machine for the investment to meet the 10% cost of capital criterion will be 7 years.


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