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周梅 · 2024年03月24日

EQUTY

  1. CFA II
  2. Equity

* 问题详情，请 查看题干

NO.PZ201512300100001207

问题如下：

7. Under Scenario 1, the intrinsic value per share of the equity of Amersheen is closest to:

选项：

A.

R13.29.

B.

R15.57.

C.

R16.31.

解释：

As the multistage residual income model results in an intrinsic value of R16.31.

This variation of the multistage residual income model, in which residual income fades over time, is:

where  is the persistence factor.

The first step is to calculate residual income per share for years 2012 2015:

ROE = earnings / book value

Growth rate = ROE × retention rate

Retention rate = 1  (dividends/earnings)

Book valuet= book valuet 1 + earningst 1  dividendst 1

Residual income per share = EPS  equity charge per share

Equity charge per share = book value per sharet× cost of equity

Using the residual income per share for 2015 of R1.608, the second step is to calculate the present value of the terminal value:

PV of Terminal Value =

R1.6081+0.10-0.70(1.10)3=R3.0203

Then, intrinsic value per share is:

V0=R7.60+R2.52(1.10)+R2.31(1.10)2+R1.98(1.10)3+R3.0203=R16.31

老师，这个公式没有看懂


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1 个答案

王园圆_品职助教 · 2024年03月24日

同学你好，这个公式就是把计算PVRI和把PVRI折现到0时刻这两步放在了一起

以下是上课的时候带李老师笔记的讲义截图，请看紫色的那一行

具体李老师讲义上的这个PVRI公式——就是分子是RI *w的这个打印版公式，是由右边红色笔记的PVRI公式——就是分子是RI的这个公式的基础上，再向后一期推导出来的

李老师上课的时候推导过，当1+g=w，从PVRIt=RI/（r-g)向后推导一期并且带入g=w-1以后，可以得到PVRI=RI*w/(1+r-w)

而本题的答案，使用的是PVRI=RI/（1+r-w)这个公式计算的，所以这里分子带入的是2015年而非2016年的RI

如果要使用李老师的公式，则需要计算出2016年的RI并用打印版公式计算才可以

由于老师手写的这个公式是用的2015年的RI，所以其对应的PVRI是落在2014年年末的，那就只需要再向前折现3年——1/（1+r）^3，就可以得到PVRI的现值也就是本题的3.0203了

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NO.PZ201512300100001207问题如下7. Unr Scenario 1, the intrinsic value per share of the equity of Amersheen is closest to:A.R13.29.B.R15.57.C.R16.31.the multistage resiincome mol results in intrinsic value of R16.31.This variation of the multistage resiincome mol, in whiresiincome fas over time, is: where is the persistenfactor.The first step is to calculate resiincome per share for years 2012 2015:ROE = earnings / book valueGrowth rate = ROE × retention rateRetention rate = 1 (vin/earnings)Book valuet= book valuet 1 + earningst 1 vint 1Resiincome per share = EPS equity charge per shareEquity charge per share = book value per sharet× cost of equityUsing the resiincome per share for 2015 of R1.608, the seconstep is to calculate the present value of the terminvalue:PV of TerminValue =R1.6081+0.10-0.70(1.10)3=R3.0203Then, intrinsic value per share is:V0=R7.60+R2.52(1.10)+R2.31(1.10)2+R1.98(1.10)3+R3.0203=R16.31老师帮忙看一下这样做有什么问题

2024-08-07 07:18 1 · 回答

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2024-07-13 16:06 1 · 回答

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2024-04-01 22:20 1 · 回答

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