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hlcaroline403 · 2019年12月09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

答案里最后一步的符号没有搞清楚,能否讲解一下,为何是2-0.1的折现?

1 个答案

maggie_品职助教 · 2019年12月10日

这道题就是问由于期初固定资产增加2M对于整个项目NPV的影响,假设其他都不变。因为期初投入增加只影响之后每一期的折旧,相当于之后5年每年折旧下降0.4,考虑TAX之后现金流下降0.1。因此只计算NPV的变化的话,就是解析最后一步,期初增加2,之后5年每年减少0.1。


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