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Lin1f · 2020年03月04日

问一道题: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=$18.63</span>PV=\frac{RI_3}{r\times\left(1+r\right)^3}=\frac{2.77}{0.109\times1.109^3}=\$18.63

<span>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

老师可以讲一下 什么时候用 p/b去算terminal value 什么时候用persistence factor=1 去算tv吗


1 个答案

maggie_品职助教 · 2020年03月05日

嗨,从没放弃的小努力你好:


用哪个条件去算终值要看题目怎么说啊,这道题:residual income per share will be constant from year 3 into perpetuity b不是告诉你RI3开始就恒定了吗。如果要用P/B,那么条件里就会明确说,请参考讲义240页的例题:


-------------------------------
努力的时光都是限量版,加油!


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