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tammie · 2020年01月02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 我的计算逻辑跟答案一样,但是计算结果不同:


两个影响,一个是项目初期现金流出减少2,一个是1-10 每期Operation CF 因tax saving降低而减少0.1

所以CF0 +2, CF1=-0.1.F01=10,IRR=10,计算NPV结果为1.385


请问老师我的计算过程哪里出了错呢 LOL

1 个答案

maggie_品职助教 · 2020年01月02日

F01=5,虽然项目是10年的,但折旧的影响只有5年: The equipment will be depreciated straight-line to zero over five years。

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