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William · 2021年03月13日

看不懂答案里终值的现值 计算 麻烦讲一下 谢谢

NO.PZ2018103102000105

问题如下:

Matt is evaluating Company M by using the multistage residual income model. He has forecasted that residual income per share will be constant from year 3 into perpetuity and the short-term ROE is higher than the long-term ROE. He has also estimated the earnings and dividends for the following three years in the following table. What`s the intrinsic value of Company M?

选项:

A.

$27.18

B.

$48.91

C.

$55.43

解释:

C is correct.

考点:Multistage Residual Income Valuation

解析:先计算出每一年的BV

BV1 = BV0 + EPS - Dividends per share = 28.25 + 6.5 - 1.75 = $33,同理可得BV2 = $38.19,BV3 = $43.15

再计算出每一年的RI

RI1 = EPS1 – re*B0 = 6.50-10.9%*28.25 = $3.42,同理可得RI2 = $4.22,RI3 = $2.77

终值的现值:

PV=RI3r×(1+r)3=2.770.109×1.1093=18.63PV=\frac{RI_3}{r\times\left(1+r\right)^3}=\frac{2.77}{0.109\times1.109^3}=18.63

V0=28.25+3.421.109+4.221.1092+2.771.1093+18.63=55.43V_0=28.25+\frac{3.42}{1.109}+\frac{4.22}{1.109^2}+\frac{2.77}{1.109^3}+18.63=55.43

理解不了后面部分的计算 麻烦讲解下

1 个答案

Debrah_品职答疑助手 · 2021年03月14日

嗨,努力学习的PZer你好:


关于折现,在这道题目里有两个折现:

1、RI3开始永续,相当于RI3=RI4=RI5=....RIn永续增长的话就相当于是一个优先股,根据公式PVRI(t-1)=RI(t-1)/r,对应题目中是V3=RI3/r,得到的是第三年的价值,所以又除了(1+r)^3,这样就折现到零时刻了,所以18.63是RI4、5到永远的零时刻的价值。

2、就是把RI1、RI2、RI3折现到0时刻,再加上18.63就可以了

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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2024-11-12 18:47 1 · 回答

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