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syzsg004 · 2024年05月19日

为什么不能直接用FCFE

NO.PZ2018103102000114

问题如下:

Matt is preparing to calculate the intrinsic value of Company M’s equity by using the FCFF model with the constant growth rate of 5% indefinitely. The relevant information is shown in the following table. What `s the value of Company M`s equity?

选项:

A.

$5,145 million

B.

$8,575 million

C.

$12,862.5 million

解释:

C is correct.

考点:Valuation Models

解析:M公司的权益回报率为:E(Ri) = RF + βi[E(RM) – RF] = 2.4% + 0.8(7%) = 8%.

M公司的WACC为:WACC = Wd*Rd*(1 - T) + We*Re

WACC = 0.40(5%)(1 – 0.3) + 0.60(8%) = 1.4% + 4.8% = 6.2%

FCFF = NI + Int × (1-T) + NCC – Wcinv - FCinv

= 212 + 100 × (1-0.3) + 88 – (50-25) – 100 = $245 million

Firm  Value=FCFF0×(1+g)WACCg=245×(1+5%)6.2%5%=$21437.5millionFirm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{245\times\left(1+5\%\right)}{6.2\%-5\%}=\$21437.5million

Debt value = 0.4 * 21437.5 = $8575 million

Equity value = 0.6 * 21437.5 = $12862.5 million

FCFE=FCFF-INT(1-T)+NB

然后算equity

1 个答案

王园圆_品职助教 · 2024年05月19日

同学你好,因为题目第一句话就要求了“Matt is preparing to calculate the intrinsic value of Company M’s equity by using the FCFF model ”,所以必须按照题目的要求严格用FCFF来进行估值

实操中,你会发现用FCFF和FCFE对同一个公司估值的结果是不同的,所以本题也是一样的原理,必须用指定的估值方式,才能得到题目要求的答案

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