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Lemonade · 2022年01月10日

关于题目的叙述产生歧义

NO.PZ2018103102000064

问题如下:

Jacques prepares to update the valuation of TMT. The company’s expected ROE in 2017 is 34.5% but it is assumed that the firm’s ROE will slowly decline towards the cost of equity thereafter.  As of the beginning of 2015, based upon the information in the below table, use the multistage-stage residual income (RI) model to determine the intrinsic value of the equity of TMT. The intrinsic value per share is closest to:

选项:

A.

22.72.

B.

14.97.

C.

78.81.

解释:

B is correct.

考点:RI

解析:B是正确的。第一步是计算2015 - 2017年的每股剩余收益:

第二步是计算终值的现值:

PV of Terminal Value =1.88/(1+0.08-0.85)(1.08)2=7

那么每股的内在价值就是: V0=5+1.6/(1.080)+1.74/(1.08)2+7=14.97

The company’s expected ROE in 2017 is 34.5% but it is assumed that the firm’s ROE will slowly decline towards the cost of equity thereafter. 

这句话的意思难道不是从2017年之后才开始进入永续增长吗?为什么答案的意思是从2017年就是永续增长了呢?而且34.5%在这道题里是什么作用呢?

1 个答案

王园圆_品职助教 · 2022年01月10日

嗨,爱思考的PZer你好:


同学你好,首先,题目有时候会故意给出多余条件,如果有些数字题目给了却没有用到,是很正常的。这里说了2017年的ROE是34.5%,用(ROE-Re)*BV也可以求出RI3 =1.88哦~~和表格中的信息是重复的多余条件哦~~

其次,题目这里就是从2017年之后进入缓慢下降的公式哦~~原公式出自原版书,以下为截图

这个公式和李老师上课讲的公式本质是一样的,只是李老师上课讲的公式是在该公式的基础上向后推导一年得出的,在本题中即为2018年为起点的公式。如果觉得2017年的这个公式不好理解,同学可以用李老师的公式以2018年为起点再算一次,结果和该题答案是一样的哦~~


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