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ivyisabelle · 2020年01月28日

问一道题:NO.PZ2018101501000031

问题如下:

Company M has invested $20 million in fixed capital and another $5 million in working capital in a ten-year project. The equipment will be depreciated straight-line to zero over five years. It will generate additional annual revenues of $1.5 million and reduce annual cash operating expenses of $0.5 million. After ten years, the equipment will be sold for $3 million. The tax rate and the required rate of return are 25% and 10% respectively. However, after reappraising the project, the fixed capital investment will be adjusted downward by $2 million with no change in salvage value. What will happen on the project NPV?

选项:

A.

It will increase $2.38 million.

B.

It will decrease $1.62 million.

C.

It will increase $1.62 million.

解释:

C is correct.

考点:Cash Flow Projections: Expansion Project

解析固定资产投资下降$2 million,折旧会下降$0.4 million,相对应的depreciation tax saving会下降 0.25*($2 million/5) = $0.1 million

所以NPV最终会增加2 - t=150.11.1t\sum_{t=1}^5\frac{0.1}{1.1^t} = $1.62 million

老师,下降了2,之后影响了折旧,我按计算器是

CF0=-2,CF1=0.1,算出NPV是-1.6209,我选decrease,为什么答案是increase?

2 个答案

maggie_品职助教 · 2020年10月13日

期初固定资产投入下降,代表期初现金流出少了(即现金流入),如果此时你用“负号”说明现金流入用负号代表,那么“正号”代表现金流出。当你计算出NPV是负的,那就说明它代表现金的流入,所以是增加。每一次做这样的计算你要使得你假设的符号和你的结论是一致的才行。

maggie_品职助教 · 2020年02月05日

固定资产在期初少投入2M,说明我们少花了2M对吗。你看你的公式CF0和NPV的符号一致,期初少支出2M,由此带来NPV增加1.6209 。你也可以把计算符号反过来,CF0=2,CF1=-0.1,那么算出来NPV就是正的。

vance · 2020年10月11日

我跟上面那位同学算法一致,也选错了。所以“你看你的公式CF0和NPV的符号一致,期初少支出2M,由此带来NPV增加1.6209” ,请问老师 这句话我该如何理解,这种方向性的问题有什么好方法可以明确判断?

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