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Kokonoi Hajime · 2024年09月29日

persistent factor是怎么来的呀

  1. CFA II
  2. Equity

* 问题详情，请 查看题干

NO.PZ201710200100000408

问题如下：

8. Based on Exhibits 2 and 3 and the multistage RI model, Castovan should estimate the intrinsic value of TTCI to be closest to:

选项：

A.

€54.88.

B.

€83.01.

C.

€85.71.

解释：

C is correct.

Residual income per share for the next three years is calculated as follows.

Because Castovan forecasts that residual income per share will be constant into perpetuity, equal to Year 3 residual income per share, the present value of the terminal value is calculated using a persistence factor of 1.

Present value of terminal value = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}

= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2} =33.78

So, the intrinsic value of TTCI is then calculated as follows.

V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71

如题，为什么这里是1，其他题没给的话怎么算

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1 个答案

王园圆_品职助教 · 2024年09月29日

同学你好，题目给了条件的哦

w=1代表的是RI永远不会衰减，永远保持不变，也就是PVRI = RI永续/ r的意思

而这里题目截图蓝色部分就是相同的意思

另外，题目是不可能不给RI 未来到底是怎么发展的条件的，同学可以放心，助教到现在为止碰到的关于RI的描述就是以下几类

residual income的题干中总共出现了三种情况

1、firm’s ROE will slowly decline towards the cost of equity thereafter

V0=B0+RI1/(1+re)+RI2/(1+re)2+TV/(1+re)2= 

对应讲义中的第3种情况，是指RI会缓慢下降直至消失——辨认方式比较容易，题目会给出persistence factor的值。

2、 at the end of 2016, share price is expected to equal book value per share

V0=B0+RI1/(1+re)+RI2/(1+re)2+0

对应讲义种的第2种情况，但是需要运用第四种情况的公式进行理解。——当股票市场价值等于账面价值，根据第四种情况，P=B，则PVRI＝０，说明自此RI立刻归０——可能辨认起来相对模糊，但是通过带入公式可以很快推导出结果。

（或是是在某一年开始 share price等于几倍的book value——此时本质还是第4个公式，即PVRI = 几倍的BVt - BVt）

3、residual income per share will be constant from year 3 into perpetuity and the short-term ROE is higher than the long-term ROE

V0=B0+RI1/(1+re)+RI2/(1+re)2+(RI3+TV)/(1+re)3= 

对应讲义中的第１种情况，即RI永远不会消失并且保持不变，相当于永续年金的计算——辨认也很容易，题目会提示“RI will be constant into perpetuity一类的字眼”。

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NO.PZ201710200100000408问题如下8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to:A.€54.88.B.€83.01.C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)​= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47​ =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 没搞明白为什么单阶段模型里的PVRI可以用（ROE-r)*B0/(r-g)来计算，这道题多阶段模型的后面说了ROE=12%不变，r=8.7%不变，g也不变，为什么就不能用前面这个公式呢？

2024-10-01 20:35 1 · 回答

NO.PZ201710200100000408 问题如下 8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to: A.€54.88. B.€83.01. C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)​= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47​ =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 如题，谢谢！

2024-08-20 08:56 2 · 回答

NO.PZ201710200100000408 问题如下 8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to: A.€54.88. B.€83.01. C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)​= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47​ =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 题目正文写的persistenfactor 是0.1， 解题里用的是1？

2024-07-12 11:41 1 · 回答

NO.PZ201710200100000408 问题如下 8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to: A.€54.88. B.€83.01. C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)​= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47​ =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 12%这个数据用不到吗？

2024-04-08 23:50 1 · 回答