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廖廖酱 · 2021年07月31日

老师请问下这题的符号方向

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

老师你好,关于这题的符号方向,初始的固定资产的投资因为从20降到18,所以对于现金流来的变化来说是增加了2,后续因为初始固定的变化,OCF的计算中DT原来是4*25%=1,现在降级初始固定资产投资后DT是3.6*25%=0.9,对于OCF来说是减少了0.1,所以计算最后对NPV的影响就应该用

,因为已经考虑了方向了,所以最后NPV算出来是正数就应该选increase,请问老师以上的思路对不?

1 个答案
已采纳答案

王琛_品职助教 · 2021年08月02日

嗨,从没放弃的小努力你好:


思路没问题

有个细节,同学一开始的分析:“初始的固定资产的投资因为从20降到18,所以对于现金流来的变化来说是增加了2”

严谨的说,建议同学在描述现金流的时,可以更加精确,比如说成是对于 Initial Outlay 的变化

因为咱们在做资本预算时,根据时间不同,会有多个现金流:期初、期间、期末。如果同学只说现金流,不说具体的发生时间,其实并不是特别严谨哈。所以建议同学在平时的做题和梳理思路时,可以将表述再精确一些,加油!

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加油吧,让我们一起遇见更好的自己!

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