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AmberLiu · 2021年10月03日

最后一步计算V common stock = 47,971.73-Vps-Vdebt算法不理解

NO.PZ2018103102000120

问题如下:

Matt is preparing to evaluate the value of Company M`s equity by using the two-stage FCFF model. The growth rates for the first three years are estimated at 5% and then it may grow at 2.5% per year into the indefinite future. The most recent FCFF is $2,000 million and the company is in the 30% tax bracket. The relevant information is shown in the following table. Determine whether the common stock is fairly valued, overvalued or undervalued?

选项:

A.

undervalued.

B.

overvalued.

C.

fairly valued.

解释:

A is correct.

考点:Valuation Models.

解析:先计算WACC = wd × rd × (1–T) + (wp × rp) + (we × re)

= (15,000/40,000)(0.06)(1– 0.3) + (5,000/40,000)(0.04) + (20,000/40,000)(0.1)

= 7.08%

PV3=FCFF3×(1+g)rg=2000×1.053×(1+2.5%)7.08%2.5%=51,815.09millionPV_3=\frac{FCFF_3\times\left(1+g\right)}{r-g}=\frac{2000\times1.05^3\times\left(1+2.5\%\right)}{7.08\%-2.5\%}=51,815.09million

PV=21001.0708+22051.07082+2315.25+51,815.091.07083=47,971.73millionPV=\frac{2100}{1.0708}+\frac{2205}{1.0708^2}+\frac{2315.25+51,815.09}{1.0708^3}=47,971.73million

V common stock = 47,971.73 – 15,000 – 5,000 = $27,971.73 million

大于市场价值20,000 million,所以common stock被低估。

最后一步计算不应该是:V common stock = 47,971.73-Vps-Vdebt=47,971.73-(47,971.73*0.375)-47,971.73*0.125=23985。

为啥不是这么算,不应该更准确么?而是直接按照题目中的V common stock = 47,971.73 – 15,000 – 5,000 = $27,971.73 million

2 个答案
已采纳答案

王园圆_品职助教 · 2021年10月04日

嗨,爱思考的PZer你好:


同学你好,请看讲义截图

用FCFF方法计算公司价值以后如何得到所有者权益价值。。这是书上的公式哦~~~只需要公司价值减去债权的市场价和优先股的市场价就可以了,不需要求比例哦~~

而且公司的内在价值是某一值的时候,并不能代表债权和优先股的内在价值就应该按照其市场价值相对于公司市场价值等比例计算呢~~

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努力的时光都是限量版,加油!

王园圆_品职助教 · 2021年10月03日

嗨,爱思考的PZer你好:


同学你好,题目中用FCFF计算的是公司的整体价值。最后一步是把公司整体价值,减去负债,减去优先股价值,才能得到普通股的内在价值哦~~通过普通股内在价值和市场价格作比较,就可以看出公司股票是被低估还是高估了。

我不是很理解你的-47,971.73*0.375 -47,971.73*0.125是怎么来的哦~~

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加油吧,让我们一起遇见更好的自己!

AmberLiu · 2021年10月04日

公司整体价值减去负债,减去优先股价值,才能得到普通股的内在价值这个我理解, 但是不是已经算出来了公司整体价值=47,971.73,优先股占比0.125,负债占比0.375,不是应该一共剪掉50%的公司整体价值?为啥是直接减掉优先股普通股的市场价值?

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