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Maggie · 2025年02月09日

diluted eps

NO.PZ2024030503000013

问题如下:

Question
The following information is available on a company for the current year.

The company’s diluted EPS is closest to:

选项:

A.$7.57. B.$7.69. C.$7.72.

解释:

Solution
  1. Incorrect. Preferred dividends were included after preferred conversion.

  2. Incorrect. After-tax interest on bonds was not added back after bond conversion: after-tax interest is (1 – 0.40) × 8% × $80,000 = 3,840.

  3. Correct. Because both the preferred shares and the bonds are dilutive, they should both be converted to calculate the diluted EPS. Diluted EPS is the lowest possible value.

    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

老师这道题麻烦再讲解一下

1 个答案

王园圆_品职助教 · 2025年02月09日

同学你好,本题要求计算diluted EPS

首先需要计算basic EPS ,根据以下讲义截图公式,优先股股利 = 2000*10 = 20000 =2万 basic EPS = (100万 -2万) /10万 = $9.8/share

然后分别判断优先股和可转债是否具有稀释作用,根据以下diluted EPS公式,并对每个可转换证券进行判断

优先股可转成的普通股股数 =5*2000 = 10000 =1万股 所以:优先股股利/转换股份 = 2万/ 1万 =2 < 9.8 ——优先股具有稀释作用

可转债可转成的普通股股数 = 80000/100 * 25 = 20000 =2万股 可转债转换节省的利息费用 = 80000*8%*(1-40%) =3840=0.384万 所以 可转债节省利息 / 转换股份 = 0.384 / 2 = 0.192 < 9.8 ——可转债具有稀释作用

所以最后 diluted EPS = 【NI - 优先股分红 + 优先股分红 + 可转债利息*(1-t)】/ [普通股股数 +优先股转普通股股数 +可转债转普通股股数] = (100 + 0.384)/(10+1+2) =7.72 < 9.8 ——diluted EPS = 7.72

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