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李了个谱 · 2025年07月05日

题目问的稀释,而把优先股转换了得到的是反稀释1.96,比Basic EPC更高,所以就是Basic EPS 1.92是稀释的?

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.

这道题我把可转换优先股计算进去得到EPS是1.96,而Basic EPS是1.92,所以反而是Basic EPS是被稀释的,所以选A?我不太理解这个题的出题逻辑.


是因为会计准则的要求:只有当转换会稀释EPS时才需要调整。1.96 > 1.92说明这是反稀释的,所以不应采用这个结果,不能选1.92


那题问得有点坑啊,这种题非得把Basic EPS也算出来比较才行吗?(无奈脸)

1 个答案

王园圆_品职助教 · 2025年07月05日

同学你好,这就是计算diluted EPS必须做的流程哦,你不记得的话可以再听一下老师基础班diluted EPS那一部分的课程,老师是特意强调过这一步比较的

因为diluted EPS的定义就是公司在考虑了所有具有稀释作用的证券转换以后的股东可能获得的最小EPS的值,所以你在把option,优先股,可转债之类的证券转换后计算的diluted EPS必须要和basic EPS做比较的,只有真的比basic EPS 更小,才符合diluted EPS的定义,这才是真的diluted EPS,否则就需要选择basic EPS作为最终的diluted EPS

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