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帕斯CFA · 2024年02月11日

不理解分子

NO.PZ2024011002000024

问题如下:

An analyst collected data about a company as follows:


The preferred stock can be converted to 10,000 common stocks, while the debt is not convertible. The diluted earnings per share is closest to:

选项:

A.1.92 B.1.96 C.2.01

解释:

If the convertible preferred shares were converted to common stocks, there would be no preferred dividends paid. Thus, we should add back the convertible preferred dividends that had previously been subtracted from net income in the numerator.

Basic EPS = (net income – dividend from preferred stocks) / average weighted number of shares issued = (1,000,000 – 1,000,000×0.04) / 500,000= 1.92

Diluted EPS = (net income – dividend from preferred stocks+ dividend from preferred stocks) / (average weighted number of shares issued + shares from conversion of preferred stocks) = (1,000,000 – 1,000,000×0.04 + 1,000,000×0.04) / (500,000+10,000) = 1.96

1.96 > 1.92, diluted EPS is 1.92.

为什么稀释EPS的分子还要加上 + 1,000,000×0.04

1 个答案
已采纳答案

王园圆_品职助教 · 2024年02月11日

同学你好,请看以下基础班讲义列出的完整的diluted EPS的公式

优先股的分红也是需要加回的——因为在计算diluted EPS的时候,都会假设优先股,可转债可以全部转换成普通股——一旦优先股转普通股,那自然优先股的分红就不用再分出去了,所以需要加回

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