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youtkr · 2022年08月29日

这道题ROE的12%和4.5%的g是无用项是吗？它什么时候有用呢？

  1. CFA II
  2. Equity

* 问题详情，请 查看题干

NO.PZ201710200100000408

问题如下：

Elena Castovan is a junior analyst with Contralith Capital, a long-only equity investment manager. She has been asked to value three stocks on Contralith’s watch list: Portous, Inc. (PTU), SSX Financial (SSX), and Tantechi Ltd. (TTCI).

During their weekly meeting, Castovan and her supervisor, Ariana Beckworth, discuss characteristics of residual income (RI) models. Castovan tells Beckworth the following.

· Statement 1: The present value of the terminal value in RI models is often a larger portion of the total intrinsic value than it is in other DCF valuation models.

· Statement 2: The RI model’s use of accounting income assumes that the cost of debt capital is appropriately reflected by interest expense.

· Statement3: RI models cannot be readily applied to companies that do not have positive expected near-term free cash flows.

Beckworth asks Castovan why an RI model may be more appropriate for valuing PTU than the dividend discount model or a free cash flow model. Castovan tells Beckworth that, over her five-year forecast horizon, she expects PTU to perform the following actions.

· Reason 1: Pay dividends that are unpredictable

· Reason 2: Generate positive and fairly predictable free cash flows

· Reason 3: Report significant amounts of other comprehensive income

At the conclusion of their meeting, Beckworth asks Castovan to value SSX using RI models. Selected financial information on SSX is presented in Exhibit 1.

Castovan’s final assignment is to determine the intrinsic value of TTCI using both a singlestage and a multistage RI model. Selected data and assumptions for TTCI are presented in Exhibit 2.

For the multistage model, Castovan forecasts TTCI’s ROE to be higher than its long-term ROE for the first three years. Forecasted earnings per share and dividends per share for TTCI are presented in Exhibit 3. Starting in Year 4, Castovan forecasts TTCI’s ROE to revert to the constant long-term ROE of 12% annually. The terminal value is based on an assumption that residual income per share will be constant from Year 3 into perpetuity.

Beckworth questions Castovan’s assumption regarding the implied persistence factor used in the multistage RI valuation. She tells Castovan that she believes that a persistence factor of 0.10 is appropriate for TTCI.


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

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1 个答案

王园圆_品职助教 · 2022年08月29日

嗨，努力学习的PZer你好：


同学你好，请看以下讲义截图，根据李老师总结的4种计算PVRI的方式，无论未来RI是保持不变，缓慢下降到0，缓慢下降到行业平均，还是直接归0，长期的ROE和g都是不需要在计算PVRI的时候使用的哦。

题目中给的长期的ROE和g大概率是迷惑条件哦~~（但是短期ROE还是可能被用来求短期的RI的哦）

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就算太阳没有迎着我们而来，我们正在朝着它而去，加油！

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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，为什么这里是1，其他题没给的话怎么算

2024-09-29 11:30 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

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2024-07-12 11:41 1 · 回答

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2024-04-08 23:50 1 · 回答