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cherry · 2021年03月02日

不明白这里的18.63是怎么得来的?

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

没有见过这个公式,这个公式是什么意思?
1 个答案

Debrah_品职答疑助手 · 2021年03月03日

嗨,从没放弃的小努力你好:


题目中说, residual income per share will be constant from year 3 into perpetuity ,意味着在第三年之后RI就是恒定不变的了,说明从第三年后RI就不增长了(g=0),RI3=RI4=RI5=......此时就是类似优先股的公式计算PVRI。之所以还要除以(r+r)^3是因为要折现到0时刻。在这一步折现可以,与2.77一起折现也行。

请见基础班讲义:



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2024-11-12 18:47 1 · 回答

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