工程经济学 求净现值 内部收益率

2024-12-31 19:53:18
推荐回答(2个)
回答1:

年数 0 1 2 3 4 5 6 7 8 9 10 11 12

净现金流量 -15000 -2500 -2500 4000 4000 4000 4000 5000 6000 7000 8000 9000 10000

净现值系数10% 1.0000  0.9091  0.8264  0.7513  0.6830  0.6209  0.5645  0.5132  0.4665  0.4241  0.3855  0.3505  0.3186 

-15000 -2272.727273 -2066.115702 3005.259204 2732.053821 2483.685292 2257.89572 2565.790591 2799.044281 2968.683329 3084.346315 3154.445095 3186.308177

净现值 8898.668851

现值系数16% 1.0000  0.8621  0.7432  0.6407  0.5523  0.4761  0.4104  0.3538  0.3050  0.2630  0.2267  0.1954  0.1685 

-15000 -2155.172414 -1857.907253 2562.630694 2209.164392 1904.452062 1641.769019 1769.147649 1830.152741 1840.67086 1813.468828 1758.752096 1684.628444

1.757116603

现值系数16.002% 1 0.862054103 0.743137276 0.640624537 0.55225301 0.476071973 0.410399798 0.353786829 0.304983388 0.26291218 0.226644524 0.195379842 0.168427994

-15000 -2155.135256 -1857.234795 2562.498149 2209.012042 1904.287893 1641.599191 1768.934146 1829.900326 1840.385263 1813.15619 1758.418574 1684.279939

0.101661833 

内含报酬率约为16%

静态回收期=7+(20000-3*4000-5000)/6000=7.5年

动态回收期=9+526.44/3084.35=9.17年

回答2:

累计净现金流量:-15000 -17500 -20000 -16000 -12000 -8000 -4000 1000
因此有:静态 投资回收期Pt=7+I-4000I/5000=7.8年
净现金流量现值:-13635 -2065 -1877.5 2732 2484 2256 2052 2335 2544 2702 2800 2871 2900
所 以有净现值:NPV=8098.5
累计净现金流量现值:-13635 -15700 -17577.5 -14845.5 -12361.5 -10105.5 -8053.5 -5718.5 -3174.5 -427.5 2327.5
动态投资回收期Pt~=10+I-427.5I/2800=10.15年
内部收益率的计算比较麻烦,要用内插法,况且要知道它的大致范围,我算不了,没有学生用计算器。

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