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打好主线 · 2021年08月27日

为什么-C时是-(-0.5)?题目里没有显示这是个替换项目,为何能凭空反增费用?

NO.PZ2018101501000029

问题如下:

Company M has invested $5 million in fixed capital and another $1 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 $1 million. The tax rate and the required rate of return are 25% and 10% respectively. What’s the NPV of the project?

选项:

A.

$2.41 million

B.

$4.84 million

C.

$11.99 million

解释:

B is correct.

考点:Cash Flow Projections: Expansion Project

解析:

首先,计算各期现金流:

Initial outlay = – FCInv – NWCInv = -5-1 = 6

OCF(1-5) = (S-C-D)(1-T)+D = [1.5-(-0.5)-1](1-0.25)+1 = 1.75

OCF(6-10) = (S-C-D)(1-T)+D = [1.5-(-0.5)](1-0.25) = 1.5

TNOCF = Sal10 +NWCInv - T(Sal10 - B10) = 1 + 1 - 0.25*(1-0) = 1.75

Total Net CF = OCF(10) + TNOCF = 1.5+1.75 = 3.25

然后,按计算器:

清零 (CLR WORK)

CF0 = -6

C01 = 1.75 (对应第一年到第五年的 OCF) ,F01 = 5

C02 = 1.5 (对应第六年到第九年的 OCF), F02 = 4

C03 = 3.25 (对应第十年的 Total net CF, 1.5+1.75),F03 = 1

I = 10

CPT NPV = 4.839248

为什么-C时是-(-0.5)?题目里没有显示这是个替换项目,为何能凭空反增费用?

1 个答案

王琛_品职助教 · 2021年08月29日

嗨,从没放弃的小努力你好:


0.5 取负值是因为费用「减少」了 0.5: "reduce annual cash operating expenses of $0.5 million"

因为咱们在资本预算的原则中有说过,考虑的都是增量现金流

相当于做了这个项目,增效降费,收入比不做这个项目多了,费用也比不做这个项目少了

评估这个项目时,要看增量现金流,所以考虑的是做这个项目带来的额外收入和减少的费用

也请参考 Capital Budgeting 课后题第 7 题

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