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格格蔡斯 · 2021年08月01日

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

老师好,请问为什么不可以直接算出FCFE,然后用re去折现,直接得到equity的价值呢
1 个答案

韩韩_品职助教 · 2021年08月01日

嗨,从没放弃的小努力你好:


同学你好:这个题目明确告诉我们要用 FCFF model,所以我们可以认为题目中给出的g=5%是FCFF的增长率,如果我们要把他理解成FCFE的增长率也是5%的情况下,你带入计算一下(通过FCFF减去税后利息再加上Net borrowing),会发现计算结果不对。那就证明这个5%的永续增长率并不适用于FCFE,只是题目给出的FCFF的对应条件。同时,我们自己也可以想一下,FCFF保持5%的增长和FCFE保持5%的增长完全是两种情况,因为资本结构的变化对两个的影响都不一样,对不对,所以我们解题时,如果题目已经明确给出用FCFFmodel,我们就尽量用题目指定的模型求解。

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