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Jolly · 2024年10月16日

问问b的basic eps和diluted eps是怎么算的

NO.PZ2024030503000021

问题如下:

Question

The following financial information is available at the end of the year.

The diluted EPS (earnings per share) is closest to:

选项:

A.$2.91.

B.$2.93.

C.$3.08.

解释:

Solution Analyzing Income Statements

• describe how earnings per share is calculated and calculate and interpret a company’s basic and diluted earnings per share for companies with simple and complex capital structures including those with antidilutive securities

  1. Correct. The convertible preferred shares are anti-dilutive, as shown in the following table. Therefore, the diluted EPS is the same as the basic EPS, $2.91.

    * Exceeds Basic EPS; Series B is anti-dilutive and is thus not included.

  2. Incorrect. It includes the conversion of the convertible securities, which are anti-dilutive.

  3. Incorrect. It ignores the Series A dividends and incorrectly includes the anti-dilutive effect of converting the Series B shares.

    From the table:

    Earnings to Common = 1,000,000 (ignores Series A, converts)

    Common shares outstanding = 325,000, as per table with conversion of convertible

    EPS = $1,000,000/325,000 shares = $3.08/share

问问b的basic eps和diluted eps是怎么算的

1 个答案
已采纳答案

王园圆_品职助教 · 2024年10月16日

同学你好

1. 首先算basic EPS,其中A优先股是不可转换的,所以会导致分子NI必须减去A的优先股分红 =4*12000 =48,000

B可转换,计算basic的时候也先默认需要考虑优先股分红 = 7.5*30000=225,000

所以basic EPS 的分子NI= 1,000,000-48,000-225,000 = 727,000

分母 = 普通股股份数=250,000

所以basic EPS = 727,000/250,000 = 2.908

2. 然后判断B优先股有没有稀释能力

B的优先股分红如果省下来,可以省7.5*30000=225,000

而优先股转成普通股,可以转换成普通股30000*2.5 = 75,000

假设B转换成普通股计算EPS = (727,000+225,000) / (250,000+75,000) = 2.929>2.908——说明B优先股没有稀释作用,是anti-dilutive的

所以最后dilutive EPS就是basic EPS 也就是2.908

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