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Daenerys · 2019年12月18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:$$\(PV=\frac{RI_3}{r\times\left(1+r\right)^3}=\frac{2.77}{0.109\times1.109^3}=\$18.63\)</p><p>

\(V_0=28.25+\frac{3.42}{1.109}+\frac{4.22}{1.109^2}+\frac{2.77}{1.109^3}+18.63=\$55.43\)$$

老师,您好,想问一下

1.RI3=6.93-10.9%*38.9=2.6899为什么是等于2.77?

2.from year 3 应该是从第三年开始持续增长,应该是求解Pvri2,可是答案给的是第四年开始持续增长,因为18.63应该是根据ri3=2.77求解得到的pvri,即求解的是PVRI3。


1 个答案

maggie_品职助教 · 2019年12月19日

1、你看下你带入的BV数字是38.8,而BV2=38.19。所以你得不到2.77.

2、RI3开始永续相当于RI3=RI4=RI5=....RIN,所以从第三年开始类似优先股,根据年金公式计算终值PVRIt-1=RIt-1/r=RI3/r,求得PVRI3.


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