开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

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.


  • 1

    回答
  • 1

    关注
  • 323

    浏览
相关问题

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?

2024-05-18 13:44 1 · 回答

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 这个公式里面分母这里折现,为啥是r*(1+r)^3 这个是什么含义呢

2024-05-12 13:34 1 · 回答

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 老师按照李老师公式,PVRI3不应该是2.77)*W/(1+10.9%-W),其中W=1-g=94.5%,然后再用10.9%来折现吗,算出来的终值等于15.96,PVRI3则等于11.7。

2024-04-09 00:33 1 · 回答

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.$27.18B.$48.91C.$55.43C 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为什么结果里要加上第三年的第一阶段数值,不是应该包含在后边永续阶段里面了吗

2024-01-19 01:30 1 · 回答

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 从第3年RI进入永续增长,为啥不是第2年末切一刀?

2024-01-15 11:05 1 · 回答