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他三哥 · 2020年02月29日

此题计算方法是不是只能把3个答案带进去,看看谁能让NPV为0?

问题如下:

Company M is investing an equipment of $1 million, which may enable the company to earn a 12% internal rate of return. The equipment will generate operating income after taxes of $150,000 and depreciation of $95,000 annually for the coming four years. The equipment will be sold at the end of the fourth year. The company is in the 25% tax bracket. What`s the terminal selling price?

选项:

A.

$483,273

B.

$452,325

C.

$330,112

解释:

C is correct.

考点:Cash Flow Projections: Replacement Project

解析:CF = (S – C – D)(1 – T) + D = EBIT*(1-T) + D = 150,000+95,000 = $245,000

账面价值BV4 = 1,000,000 – 95000*4 = $620,000

TNOCF = Sal4 +NWCInvT(Sal4 – B4 ) = Sal4 - 0.25*( Sal4-620,000)

NPV = -1,000,000 +t=14245,0001.12t\sum_{t=1}^4\frac{245,000}{1.12^t}  +Sal4-0.25×(Sal4-620,000)1.124\frac{{\text{Sal}}_4\text{-}0.25\times{({\text{Sal}}_4\text{-}620,000)}}{1.12^4}  = 0

计算求得Sal4 =$330,112

此题计算方法是不是只能把3个答案带进去,看看谁能让NPV为0?

2 个答案
已采纳答案

Debrah_品职答疑助手 · 2020年03月01日

同学你好,这道题目是可以计算出答案C的。

这道题目其实是已经给出了PV=-1,000,000,PMT=150,000+95,000 = 245,000,N=4,I/Y=12%,此时用计算器求解FV=402,584。要注意,这里的FV不包含最后一起的OCF4,也就是245,000.

所以根据公式,TNOCF = Sal4 +NWCInv−T(Sal4 – B4 )=Sal4-25%*(Sal4 – 620,000)=402,584,就可以得出Sal4=330,112啦

他三哥 · 2020年03月02日

嗯嗯,我后来发现了,是可以通过加减乘除算出来的。

Debrah_品职答疑助手 · 2020年03月05日

好的,加油。

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