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花儿。 · 2023年02月02日

diluted EPS关于可转债的计算

NO.PZ2016012102000039

问题如下:

Given the following information, calculate the company's diluted EPS:

company has net income of $200,000 and 150,000 common shares outstanding from the beginning of the year. Company also has 1,000, 8%, $1,000 par bonds convertible into 24 shares each,

outstanding as of the beginning of the year. The tax rate is 35%.

选项:

A.

$1.1.

B.

$1.3

C.

$2.17.

解释:

Basic EPS = $200,000150,000=$1.3\frac{\$200,000}{150,000}=\$1.3

Check if the convertible bonds are dilutive:

Impact of numerator= (1,000 x 1,000 x 0.08) x (1 - 0.35) = $52,000

Impact of denominator = (1,000 x 24) = 24,000 shares

Impact per share =

$52,00024,000shares=$2.17\frac{\$52,000}{24,000shares}=\$2.17

$2.17 > basic EPS of $1.3, so the bonds are antidilutive. Then the diluted EPS = basic EPS = $1.3.

考点:股票稀释

假设把所有的债权转为股权

Net income = 200,000+1,000×1,000×8%×(1-35%) =252,000

share = 150,000+1,000×24 =174,000

EPS = [200,000+1,000×1,000×8%×(1-35%)]/(150,000+1,000×24)=1.45

大于basic EPS,因此没有稀释作用,diluted EPS=basic EPS=1.3

可转债行权后就不用支付利息了,所以分子要加回去。 但是可转债的par value不也不用支付了吗?为什么不考虑本金呢?

1 个答案

王园圆_品职助教 · 2023年02月03日

嗨,从没放弃的小努力你好:


同学你好,因为分子我们计算的是NI在可转债转换成股票以后的金额是多少

我们仔细想一下,I/S表中计算NI的过程里,是不需要考虑债务的本金归还的——只需要计算利息费用的支出(债务本金的归还直接减记现金,同时减记Debt carrying value),所以计算diluted EPS的时候,分子NI调整可转债的时候也不需要考虑债务本金的归还的

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努力的时光都是限量版,加油!

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