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Junqi · 2019年12月29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>

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

constant from year 3, 从第三年开始,时间节点应该是第二年年末呀。何解???

1 个答案

maggie_品职助教 · 2019年12月30日

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.




Junqi · 2019年12月30日

希望李老能在经典题讲一下这题

爱游泳的鱼 · 2020年01月01日

所以呀 应该是求PVIR2呀

maggie_品职助教 · 2020年01月02日

回复JUNQI: 这道题就是根据基础班讲义236那道题改编的,在经典题没有上线之前可以先听下那道题的讲解。 回复爱游泳的鱼:此时PVt-1=PV3, 从第三年才开始永续增长,因此根据公式咱们计算的是PVRI3.

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NO.PZ2018103102000105 问题如下 Matt is evaluating Company M using the multistage resiincome mol. He hforecastethresiincome per share will constant from ye3 into perpetuity anthe short-term ROE is higher ththe long-term ROE. He halso estimatethe earnings anvin for the following three years in the following table. What`s the intrinsic value of Company M? A.$27.18 B.$48.91 C.$55.43 C is correct.考点Multistage ResiIncome Valuation解析先计算出每一年的 BV1 = BV0 + EPS - vin 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*= 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}=18.63PV=r×(1+r)3RI3​​=0.109×1.10932.77​=18.63V0=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=55.43V0​=28.25+1.1093.42​+1.10924.22​+1.10932.77​+18.63=55.43 BV3 = $43.15这里求了bv3有什么用,ri3不是用bv2算的吗?

2024-11-12 18:47 1 · 回答

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2024-05-18 13:44 1 · 回答

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2024-05-12 13:34 2 · 回答

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2024-04-09 00:33 1 · 回答

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