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ROOT · 2023年05月27日

请老师帮忙解答一下

  1. CFA I
  2. FRA

NO.PZ2016012102000037

问题如下：

At the beginning of the year, PZ company had 200,000 shares of common stock outstanding. On May 31, Share issued 50,000 shares of common stock. And Share issued a 15% stock dividend on June1. On October 1, the company issued 1,000, 10% bonds, each can be converted into 10 shares of common stock. In computing basic and diluted EPS, what is the weighted average number of shares to be used assuming the convertible bonds are dilutive?

选项：

Average shares, basic
Average shares, dilutive

A.

263,542
273,542

B.

263,542
230,200

C.

178,900
236.042

解释：

Basic shares = {[200,000 x (12 / 12)] + [50,000 x (7 / 12)]} x 1.15 = 263,542

Diluted shares = 263,542 + 10,000 =273,542

考点：股数计算

Basic shares = {[200,000 x (12 / 12)] + [50,000 x (7 / 12)]} x 1.15 = 263,542

* 5月底发行的50,000股，需要按时间加权。

** 乘以 1.15，是因为发了15%的股票股利

Diluted shares = 263,542 + 10,000 =273,542

在算diluted EPS的时候，如果有convertible bond的话，convertible bond转成的股票是不考虑时间加权的，就视同最初发行的一样。是直接加上convertible bond转股后的股份数。

老师我没明白为何股票分红时不用（20+5）*1. 15呢？为何单用新发行的5万份额乘1. 15？之前的20万份为何不一起加上后再时间加权

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已采纳答案

王园圆_品职助教 · 2023年05月27日

你好同学，这道题其实助教也有疑问，助教会跟教研组反馈一下的，等教研组回复了助教再进一步来这里给你回答

王园圆_品职助教 · 2023年05月30日

同学你好，其实答案有考虑20万股也要乘以1.5哦，助教跟你一样一开始都没有看出来呢

解析这里：“ {[200,000 x (12 / 12)] + [50,000 x (7 / 12)]} x 1.15 = 263,542”你看这个{}大括号是把20万也包在里面的，所以20万也乘了1.5哦~~

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NO.PZ2016012102000037问题如下the beginning of the year, PZ company h200,000 shares of common stooutstanng. On M31, Share issue50,000 shares of common stock. AnShare issuea 15% stovinon June1. On October 1, the company issue1,000, 10% bon, eacconverteinto 10 shares of common stock. In computing basic anluteEPS, whis the weighteaverage number of shares to useassuming the convertible bon are lutive?Average shares, basicAverage shares, lutiveA.263,542273,542B.263,542230,200C.178,900236.042 Basic shares = {[200,000 x (12 / 12)] + [50,000 x (7 / 12)]} x 1.15 = 263,542luteshares = 263,542 + 10,000 =273,542考点股数计算Basic shares = {[200,000 x (12 / 12)] + [50,000 x (7 / 12)]} x 1.15 = 263,542* 5月底发行的50,000股，需要按时间加权。** 乘以 1.15，是因为发了15%的股票股利luteshares = 263,542 + 10,000 =273,542在算luteEPS的时候，如果有convertible bon话，convertible bon成的股票是不考虑时间加权的，就视同最初发行的一样。是直接加上convertible bon股后的股份数。 为什么发行的vin50000股的15%，而不是250000的15%？

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