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yy · 2023年05月29日

NO.PZ2016012102000037

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。

为什么“On October 1, the company issued 1,000, 10% bonds, each can be converted into 10 shares of common stock.”

这个不用再✖3/12✖1.15呢

1 个答案

lynn_品职助教 · 2023年05月29日

嗨,努力学习的PZer你好:


首先,会引起所有者权益总额变动的股数变动(增发股票、回购股票、债转股、优先股转普通股、option看涨期权行权等)需要进行时间加权,而不引起所有者权益变动的股数变动(发放股票股利、拆股或并股等)不用计算加权平均。


而10月1日的这笔债转股不加权是因为if-converted method


默认期初就发行是if-converted method中规定的。


如果可转换债是年初就存在,那么假设满足转换条件的可转债都是在年初就转换了,


这就是解析里说的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。


----------------------------------------------
努力的时光都是限量版,加油!

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