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小锦鲤要加油 · 2019年11月14日

问一道题:NO.PZ201512300100001207

* 问题详情,请 查看题干

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,这题RI2015为什么不能直接用RI2014乘以persistence factor?

小锦鲤要加油 · 2019年11月14日

老师,这道题我懂了,还有个小问题,题干中的G有什么用?是干扰项吗

1 个答案

maggie_品职助教 · 2019年11月15日

因为这是2016年开始持续因子啊,你不能用在之前啊。题目说了ROE从2016年初才开始下降,所以RI从2016年才开始用persistence factor 0.7.

小锦鲤要加油 · 2019年11月15日

这道题的题干给的g是干扰项吗

maggie_品职助教 · 2019年11月15日

是的,干扰项,完全用不到。

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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=R16.311、基础班李老师讲过,衰减率w=1+g, g为负数,但是这里的g=9%,两者似乎冲突了。2、解题过程中也没有用到9%,这个长期增长率g是什么前提假设吗?还是一个干扰项?

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