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treepple · 2021年06月10日

from year 3 into perpetuity

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

from year 3 into perpetuity指的是从第三年初还是第三年末开始?我的理解是从第三年初,也就是第二年末?

2 个答案
已采纳答案

追风少年_ 品职助教 · 2021年06月11日

嗨,爱思考的PZer你好:


同学,题目的思路是第四年的RI折现到第三年,然后往前折现三次,因为从第三年年末开始,RI保持不变。但是同学也可以用,第三年年末的RI折现到第二年年末,再连通第二年的RI往前折现两次,这样也是可以的。

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努力的时光都是限量版,加油!

treepple · 2021年06月12日

这句话的意思是按照李老师课上的思路就是在第三年末划一刀对吧

追风少年_ 品职助教 · 2021年06月15日

嗨,爱思考的PZer你好:


可以的同学,也可以用李老师的思路。

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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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