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🌊Yuri🌊 · 2023年09月22日

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NO.PZ2023020602000041

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.

它只说了可以转换10,000这么多份。为啥就看出是可以全部转换了?

2 个答案

王园圆_品职助教 · 2023年09月23日

同学你好,是只要是可转换优先股,就必须先假设全部转换的情况来计算diluted EPS

但是,如果计算出来的diluted EPS反而比basic EPS更大,就说明这个可转换优先股没有稀释作用,那此时的diluted EPS就还是原来的basic EPS;如果计算出来的diluted EPS比basic EPS更小,那就说明可转换优先股确实有稀释作用,此时计算出来的diluted EPS才成立

可转换债券也是同理,必须同样这样计算并判断是否有稀释作用,然后决定是否计入diluted EPS的计算

王园圆_品职助教 · 2023年09月22日

同学你好,因为无论是针对任何一种可转换证券,在计算diluted EPS的时候,都遵循“if-converted method”——这是上课老师说过的diluted EPS的知识点

原理就是我们要计算的diluted EPS,是公司万一全部可转换证券都转换成股票以后得到的稀释效果最大的EPS的值,这才能将最坏的情况展示给现有普通股股东看,让股东了解自己最差可能股权会被稀释到一个什么程度

所以虽然这里只说可以转换10000股,没有说真的转了多少股,也没有说什么时候转,但我们计算的时候就必须认为是期初的时候全部优先股都完全转成了这10000股普通股,从而让分母最大,达到最大的稀释效果

🌊Yuri🌊 · 2023年09月23日

所以只要是优先股的情况 都是计算全部转换了的情况是吗

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NO.PZ2023020602000041 问题如下 analyst collecteta about a company follows:The preferretocconverteto 10,000 common stocks, while the is notconvertible. The luteearnings per share is closest to: A.1.92 B.1.96 C.2.01 If the convertible preferreshares were converteto common stocks, there woulno preferrevin pai Thus, we shoula bathe convertible preferrevin thhpreviously been subtractefrom net income in the numerator.Basic EPS = (net income – vinfrom preferrestocks) / average weightenumber of shares issue= (1,000,000 – 1,000,000×0.04) / 500,000= 1.92luteEPS = (net income – vinfrom preferrestocks+ vinfrom preferrestocks) / (average weightenumber of shares issue+ shares from conversion of preferrestocks) = (1,000,000 – 1,000,000×0.04 + 1,000,000×0.04) / (500,000+10,000) = 1.961.96 1.92, luteEPS is 1.92.

2023-10-28 21:53 1 · 回答

NO.PZ2023020602000041 问题如下 analyst collecteta about a company follows:The preferretocconverteto 10,000 common stocks, while the is notconvertible. The luteearnings per share is closest to: A.1.92 B.1.96 C.2.01 If the convertible preferreshares were converteto common stocks, there woulno preferrevin pai Thus, we shoula bathe convertible preferrevin thhpreviously been subtractefrom net income in the numerator.Basic EPS = (net income – vinfrom preferrestocks) / average weightenumber of shares issue= (1,000,000 – 1,000,000×0.04) / 500,000= 1.92luteEPS = (net income – vinfrom preferrestocks+ vinfrom preferrestocks) / (average weightenumber of shares issue+ shares from conversion of preferrestocks) = (1,000,000 – 1,000,000×0.04 + 1,000,000×0.04) / (500,000+10,000) = 1.961.96 1.92, luteEPS is 1.92. luteEPS的分子是NI-优先股分红+可转换优先股分红, 。题目中怎么看出来有多少是优先股,多少是可转换优先股的。

2023-08-11 20:19 1 · 回答