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Amber_819 · 2021年10月04日

题中表格给出的长期g是指谁的增长率?

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

表格中的long term growth用不到,指的是谁的g?
1 个答案
已采纳答案

王园圆_品职助教 · 2021年10月04日

嗨,从没放弃的小努力你好:


同学你好,这里的constant long-term growth g就是讲义中说的sustainable growth rate,也就是说,该公司未来的分红,equity的账面价值,以及债务规模都是按这个g增长的。

但是这里并不需要用到这个g,因为题目已经告诉我们RI是永续不变的了,所以只需要按照永续年金的方式向前折现就可以了。

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