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🌊Yuri🌊 · 2023年01月11日

提问

NO.PZ2017102901000020

问题如下:

For its fiscal year-end, Sublyme Corporation reported net income of $200 million and a weighted average of 50,000,000 common shares outstanding. There are 2,000,000 convertible preferred shares outstanding that paid an annual dividend of $5. Each preferred share is convertible into two shares of the common stock. The diluted EPS is closest to:

选项:

A.

$3.52.

B.

$3.65.

C.

$3.70.

解释:

C is correct.

Diluted EPS = (Net income)/(Weighted average number of shares outstanding + New common shares that would have been issued at conversion)

= $200,000,000/[50,000,000 + (2,000,000 × 2)]= $3.70

The diluted EPS assumes that the preferred dividend is not paid and that the shares are converted at the beginning of the period.

这道题只涉及到可转换优先股,所以分子应该是NI减去给优先股的分红,然后加回转换了的优先股的分红。这道题给的条件只有可转换优先股是2000000份,没有给普通的优先股的条件,我们默认没有,也就是所有的优先股都是可转换优先股,这样的话分子减去给优先股的分红,然后再加回,结果是相抵消了,最后分子只剩下NI=200,000,000。

分母应该等于一开始的加权平均普通股,再加上可转换优先股转换成的普通股份数,由于每份优先股可以转换为两份普通股,所以分母就变成了50,000,000+2,000,000×2。

diluted EPS=200,000,000/(50,000,000+2,000,000×2)=3.7

basic EPS=(200,000,000-2,000,000×5)/50,000,000=3.8,所以是有稀释作用,diluted EPS=3.7

请问There are 2,000,000 convertible preferred shares outstanding that paid an annual dividend of $5这句话后面的5是什么意思

1 个答案

王园圆_品职助教 · 2023年01月11日

嗨,努力学习的PZer你好:


同学你好,这句话的意思是,公司在外发行的优先股是200万股,每一股优先股享有5美金每年的分红(优先股类似债券,可以享有固定的分红)

但是这个条件其实是用不到的

请看以下讲义公式截图红色框框部分

由于在计算diluted EPS的时候,分子部分的NI需要先减去优先股分红(用以计算common stock shareholders可以享有的NI)再加回优先股分红(因为计算diluted EPS的时候,优先股转换为普通股了,就不再享有优先股的5美元的分红权力),所以在这里一减一加相当于不需要考虑

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