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开泰-王飞 · 2021年12月02日

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.

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

这句话的意思不是从第三年年初开始进入永续增长吗?为何答案计算的是从第四年初开始永续增长,那表达从第三年年初永续增长的英文一般怎么说?

2 个答案

王园圆_品职助教 · 2021年12月24日

嗨,努力学习的PZer你好:


同学你好,这道题目的条件是“RI是永续保持不变的”和之前那道题RI缓慢下降是不同的情况哦~适用的公式是PVRI(t-1)=RI(t-1)/r

也i就是本题中第三年年末的PVRI=第三年年末的RI/r,需要继续往前折现3年得到现值哦~~

这里的时间点确实比较容易混淆,同学慢慢注意起来,就会掌握解题诀窍啦

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加油吧,让我们一起遇见更好的自己!

王园圆_品职助教 · 2021年12月02日

嗨,从没放弃的小努力你好:


同学你好,NI都是发生在期末进行计算的,RI的含义也是公司经过了一年的经营,在一定规模的所有者权益下,为投资者带来了多少超额收益。

所以RI发生的时间点也都是年末哦。这道题说第三年RI开始进入永续增长,那我们就默认永续增长的起点就是第三年的年末哦~~

题目是不会有表述说RI在某年的年初开始增长的哦,因为这么说不符合RI的经济含义~~像本题,除非题目说第二年开始进入永续增长,我们才能认为是第三年年初开始永续增长哦~~

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

杨舒芃 · 2021年12月24日

之前有一题说从2017开始下降最后roe=re就是从2016年底开始折现 为什么到这又变成年末了 而且基础课的公式根本用不了 完全是错的 到底怎么算

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