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皓月 · 2023年02月14日

题目解析我都懂

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NO.PZ201601200500005002

问题如下:

If Yeta’s management implemented Proposal #2 at the current share price shown in Exhibit 1, Yeta’s book value per share after implementation would be closest to:

选项:

A.

US$25.20

B.

US$25.71

C.

US$26.12

解释:

B is correct. If Yeta implemented Proposal #2, a repurchase of US$40 million in shares, the resulting book value per share (BVPS) would be US$25.71, calculated as follows:

1 Yeta has a current BVPS of US$25.60; therefore, total book value of equity is US$2,560 million (= US$25.60 × 100,000,000 shares).

2 The number of shares Yeta would repurchase is US$40 million/US$20.00 per share = 2 million shares.

3 Yeta shareholders’ book value of equity after the buyback would be US$2,520 million (= US$2,560 million − US$40 million).

4 The number of shares after the buyback would be 98 million (= 100 million − 2 million).

5 The BVPS after the buyback would be US$2,520 million/98 million = US$25.71.

A is incorrect because US$25.20 incorrectly uses 100 million shares instead of 98 million shares in calculating BVPS after the buyback: US$2,520 million/ 100 million = US$25.20.

C is incorrect because US$26.12 incorrectly uses US$2,560 million (current book value) instead of US$2,520 million as the book value of equity in calculating BVPS after the buyback. The BVPS after the buyback is incorrectly calculated as US$2,560 million/98 million = US$26.12.

但是我第一次错的原因是题目说用的是surplus cash,我就没有用 2560 - 40,就直接用2560/98,

我记得讲义上好像有道例题老师讲的是,如果是用surplus cash 就不用减

我不知道是不是自己记错了,还请老师指正一下

1 个答案

王琛_品职助教 · 2023年02月15日

嗨,努力学习的PZer你好:


1

我理解同学问的可能是:课后题第 18 题,和课后题第 6 题(即本题)

背景都是使用 surplus cash 回购,但为何第 18 题,分子不用减去闲置资金;而第 6 题,分子需要减去闲置资金

其实这里最关键的区别,在于题目要求什么?

2

第 18 题是求 EPS,分子是 earnings

如果借债回购股票,分子需要减掉税后债务融资成本

如果是闲置现金回购,且题目没告诉机会成本的情况下,分子还是 earnings,相当于公司是拿闲置资金回购,不涉及 earnings 改变

3

第 6 题是求 BVPS,分子是 BV of equity

无论用闲置资金回购,还是借债回购,都会导致公司的权益降低,因此分子都需要减去股票回购的金额

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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2023-08-28 16:43 1 · 回答

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NO.PZ201601200500005002 using surplus cash 回购为什么会影响book value? 这里的book value 不是应该指的是equity 的 book value吗 ?

2021-11-14 18:49 1 · 回答