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Cherry · 2021年09月07日

为什么计算折旧的时候不需要把Sal(T)减去再除以5?

NO.PZ2016012005000001

问题如下:

FITCO is considering the purchase of new equipment. The equipment costs $350,000, and an additional $110,000 is needed to install it. The equipment will be depreciated straight-line to zero over a five-year life. The equipment will generate additional annual revenues of $265,000, and it will have annual cash operating expenses of $83,000. The equipment will be sold for $85,000 after five years. An inventory investment of $73,000 is required during the life of the investment. FITCO is in the 40 percent tax bracket and its cost of capital is 10 percent. What is the project NPV?

选项:

A.

$52,122.

B.

$64,090.

C.

$97,449.

解释:

C is correct.

Outlay=FClnv+NWCInvSal0+T(Sal0B0)Outlay=FC_{lnv}+NWC_{Inv}-Sal_0+T(Sal_0-B_0)

Outlay = (350,000 + 110,000) + 73,000 – 0 + 0 = $533,000

The installed cost is $350,000 + $110,000 = $460,000, so the annual depreciation is $460,000/5 = $92,000. The annual after-tax operating cash flow for Years 1–5 is

CF = (S – C – D)(1 – T) + D = (265,000 – 83,000 – 92,000)(1 – 0.40) + 92,000

CF = $146,000

The terminal year after-tax non-operating cash flow in Year 5 is:

TNOCF=Sal5+NWClnvT(Sal5B5)TNOCF=Sal_5+NWC_{lnv}-T(Sal_5-B_5)

=85,000+73,0000.40(85,0000)=85,000+73,000-0.40{(85,000-0)}

TNOCF = $124,000

The NPV is

NPV=533,000+t=151460001.10t+1240001.105NPV=-533,000+\sum_{t=1}^5\frac{146000}{1.10^t}+\frac{124000}{1.10^5}=97,449

为什么计算折旧的时候不需要把Sal(T)减去再除以5?

1 个答案

王琛_品职助教 · 2021年09月08日

嗨,努力学习的PZer你好:


不需要的

1

我理解同学这样考虑的原因,是因为在一级财务中,咱们学过直线折旧的方法,折旧是用固定资产的原价,扣除其预计净残值后的金额,均衡地分摊到固定资产预计使用寿命内

预计净残值,是企业从该项资产处置中获得的扣除预计处置费用后的金额

但是在二级公司理财中,关于折旧,其实扣除的,并不是预计净残值,而是固定资产期末的账面价值,这道题说了:采用直线折旧法,预计使用寿命五年,期末账面价值为 0 "depreciated straight-line to zero over a five-year life"

所以每年的折旧是:(46-0)/5 = 9.2

因为不同级别不同学科的不同章节,参考的原版书不同,所以可能对于统一概念的解释不同

2

同学做课后题时,还会碰到不少题目。碰到折旧,处理方法一般都是直线折旧法,期末账面价值为 0;所以计算折旧,和期末售价没有关系哈

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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