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· 2021年03月02日

RI3我求的时候没用EPS

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

老师,求RI3的时候我用的是长期ROE,没用给的EPS,因为题目说从第三年开始RI保持不变,我就觉得第三年可以用长期ROE了。想问问为什么不对

2 个答案
已采纳答案

Debrah_品职答疑助手 · 2021年03月03日

嗨,从没放弃的小努力你好:


你不能这样做,因为long term ROE并没有说是哪年的,而第三年的EPS给你了,你要根据公式计算RI。要用解析的方法解答。

从第三年开始RI保持不变,只能说RI3=RI4=RI5.......

公式有条件用不上是很正常的,不一定每个条件都用。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Phoebe · 2021年03月14日

但是从第三年开始RI保持不变没有说按照RI3保持不变,为什么不用计算得到的RI4当做恒定值保持不变来求PVRI3?

· 2021年03月14日

用画图大法可以看出第二年结束就是第三年开始 所以是从RI3保持不变啊

Debrah_品职答疑助手 · 2021年03月15日

嗨,爱思考的PZer你好:


题目中说了,He has forecasted that residual income per share will be constant from year 3 into perpetuity ,所以是从RI3保持不变啊

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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2024-11-12 18:47 1 · 回答

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2024-05-12 13:34 2 · 回答

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