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natalie2003 · 2020年11月27日

问一道题:NO.PZ201512300100001207

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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

老师您好,不好意思再问下,RI(2015)*ω/(r-ω+1)算出来的terminal value,到底应该作为第几期现金流(按在计算器里的C0?)往前折?我的理解是2015thereafter的事,那么应该和2015当年的RI加总在一起作为第四期往前折,这么算出来差一点尾数;把RI(2015)作为第四期,Terminal Value作为第五期往前折,也当然不对。这里一直都很模糊,望解答,谢谢。

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已采纳答案

maggie_品职助教 · 2020年11月28日

我把详细的计算步骤列在下面了,供参考:

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