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aileen20180623 · 2024年01月25日

grow at 5% indefinitely

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NO.PZ201809170300000107

问题如下:

Based on Exhibits 1 and 2 and the proposed single-stage FCFF model, the intrinsic value of Company C’s equity is closest to:

选项:

A.

$277,907 million.

B.

$295,876 million.

C.

$306,595 million.

解释:

C is correct. Company C’s firm value is calculated as follows:

The required rate of return on equity for Company C is

r = E(Ri) = RF + βi[E(RM)  RF] = 3% + 1.1(7%) = 10.7%.

WACC = rd (1 - Tax rate) + re

WACC = 0.40(6%)(1  0.30) + 0.60(10.7%) = 1.68% + 6.42% = 8.10%

FCFF for the most recent year for Company C is calculated as follows:

Investment in working capital is found by adding the increase in accounts receivable, the increase in inventories, the decrease in accounts payable, and the increase in other current liabilities: $536 million  $803 million  $3 million + $350 million = $992 million.

FCFF is expected to grow at 5.0% indefinitely. Thus,

Firm value = =  = = $510,990.97 million

The value of equity is the value of the firm minus the value of debt. The value of debt is found by multiplying the target debt ratio by the total firm value:

Debt value = 0.40($510,990.97) = $204,396.39

Therefore, equity value = $510,990.97  $204,396.39 = $306,594.58 million.

To calculate the intrinsic value of Company C’s equity, the team uses the FCFF approach assuming a single-stage model where FCFF is expected to grow at 5% indefinitely.

这题我有一个困惑点5%grow at 5% indefinitely.,为什么不是FCFF/5%,而是FCFF*(1+5%)/(R-G)

1 个答案

王园圆_品职助教 · 2024年01月25日

同学你好,grow at 5% indefinitely是指FCFF永远按照5%的速度增长下去

即,今年FCFF是100,明年就是100*1.05=105,后年就是100*1.05^2 = 110.25

此时,适用的是GGM 模型 V0= D0*(1+g)/(r-g)


而你问的“为什么不是FCFF/5%” ,有两个错误,一是这个模型是用作计算优先股价值的模型——也就是股利永远保持不变,每年都分发相同金额股利的情况下计算优先股价值的模型。另外,注意,既然股利不增长,那g=0

此外,这里的分母是优先股的股东要求回报率Re,而不是这里的增长率g5%。所以即便题目说FCFF保持不变,那也应是FCFF/WACC来计算终值才对

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