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豌豆妤22 · 2020年03月18日

问一道题:NO.PZ2018101501000031 [ CFA II ]

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

这个题如果用做差的方式,OCF是不是要切开两段看,变化前y1—y5为一段,OCF为2.5,后面y6—y10的OCF是不是为1.5?
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已采纳答案

Debrah_品职答疑助手 · 2020年03月19日

同学你好,你说的是对的。

(1)变化前的OCF:

第1-5年OCF=(S-C)*(1-T)+D*T=(1.5-(-0.5))*(1-25%)+20/5*25%=2.5

第6-10年OCF=(S-C)*(1-T)+D*T=(1.5-(-0.5))*(1-25%)+0=1.5

(2)变化后的OCF:

第1-5年OCF=(S-C)*(1-T)+D*T=(1.5-(-0.5))*(1-25%)+(20-2)/5*25%=2.4

第6-10年OCF=(S-C)*(1-T)+D*T=(1.5-(-0.5))*(1-25%)+0=1.5

可见固定资产投资下降$2 million,对6-10年的OCF是没有影响的,因为折旧只有5年。但这样计算过于复杂,建议还是直接看变化比较好。

cherry · 2021年02月27日

折旧为啥乘以0.25?

Debrah_品职答疑助手 · 2021年02月28日

嗨,爱思考的PZer你好:


cherry同学,25%是税率。

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