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恬恬爱吃香菜 · 2020年07月25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=18.63PV=\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

老师您好,这里的时间线弄不清,from year 3 into perpetuity是指从第3年初还是第3年末,谢谢我的理解是从第3年初,所以终值都是折到2时刻的,谢谢解答~~

1 个答案

Debrah_品职答疑助手 · 2020年07月26日

同学你好,从第三年开始恒定指的是从第三年末,相当于是RI3=RI4=RI5......=RIN。所以先根据公式求PVRI3=RI3/r,再除以(1+r)^3,折现到0时刻,所以18.63时0时刻的价值。

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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 Long term ROU 14.5%是沒有用的?

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