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Allez😃Sea · 2021年05月16日

老师我没有明白回购的问题

NO.PZ2016012102000184

问题如下:

Fruit Capital company issued 55,000 shares to employees as stock options on January 1st, 20X5. 24,000 shares of these options have an exercise price of $32, and the rest of these options have an exercise price of $35. At the end of 20X5, Fruit Capital company's stock price was $42. All of  outstanding common shares was 1,800,000.The average stock price over 20X5 was $34.What is the denominator of the diluted earning per share?

选项:

A.

1801412.

B.

1824000.

C.

1754.

解释:

A is correct.

Based on the average stock price, only the options at $32 are in the money (and therefore dilutive).

Using the treasury stock method, the denominator of the diluted EPS=1800000+ [24000-(24000*32)/34]=1801412.

比如这道题经典案例,以market price行权我明白,用发行的option行权为什么就增加了这部分的钱?为什么会多出来钱呢?就算多出来的钱难道不是market price - strick price * shares 这部分的盈利吗?如果说行权后多出来的钱拿去回购公司的股份。。。这一点在和老师讲课的经典题和强化课中反复强调过,但是我还是没想通,麻烦再解释下。。。谢谢

2 个答案

纠纠_品职答疑助手 · 2021年05月19日

嗨,努力学习的PZer你好:


我们这个方法的假设就是不要有多余的资金进账,不然多余的资金投入可能就不一定是现在的net income。这样无法计算deluted eps。

回购不亏钱,我们就是拿option行权时候的钱来回购股票,当然肯定不够买,所以相当于股数增多,也就是每股收益被稀释了

这里我们没有说发行了多少份option,我们这里直接给的是share,所以不需要再计算一张option等于多少share了。



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虽然现在很辛苦,但努力过的感觉真的很好,加油!

纠纠_品职答疑助手 · 2021年05月16日

嗨,从没放弃的小努力你好:


同学思路不太对哦,我们先忽略你讲的观点重新梳理下:


发行option行权不是增加钱,是增加股票的股数。

这种计算Deluted EPS的股票方法叫做treasury stock method (见基础班讲义125页)

这种方法假设资本投入的钱是不变的,那我们会用option行权购买的股票的钱去在以平均的市场价格回购等额的股票。

因为平均价会高于option的执行价,所以这样一进一出股票数量在不影响的利润和投资总额的情况下会变多。


这道题目也就是说,我们有24000份option行权价格32,我们从option持有人手上活动了24000*32的钱,但是我们不想要这笔钱去干扰我们的利润,所以我们拿这笔钱去市场上回购了24000*32/34份股票。所以在我们一分钱都没拿到的情况下市场上凭空多出来了24000-24000*32/34的股票,说明EPS被稀释了。


同学做的时候千万不要去想着说option本身的盈利哈。我们是站在公司的角度去看的,不是option持有人的角度去看的。





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努力的时光都是限量版,加油!

18816562889 · 2022年07月14日

“市场上凭空多出来了24000-24000*32/34的股票”老师,这里没法理解,为什么是多出来而不是少了,24000份的OPTION不是已经转换成24000*32/34份的股票了吗,所以市场上总体的股票应该是少了的,应该是减去24000+24000*32/34份才是新少的份数。

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NO.PZ2016012102000184问题如下 Fruit Capitcompany issue55,000 shares to employees stooptions on January 1st, 20X5. 24,000 shares of these options have exercise priof $32, anthe rest of these options have exercise priof $35. the enof 20X5, Fruit Capitcompany's stopriw$42. All of outstanng common shares w1,800,000.The average stopriover 20X5 w$34.Whis the nominator of the luteearning per share?A.1801412.B.1824000.C.1754. A is correct.Baseon the average stoprice, only the options $32 are in the money (antherefore lutive). Using the treasury stometho the nominator of the luteEPS=1800000+ [24000-(24000*32)/34]=1801412.考点稀释EPS 是否行权要看average price,而不是enng price,公司这一年的平均股价是34,因此行权价格35的31000份期权是不行权的,只有 32 美元的期权是行权的(因此是稀释的)。根据treasury stometho,luteEPS的分母 = 1800000+[24000-(24000*32)/34]=1801412股。 乘以32/34是啥意思?分母不是算股数吗?为什么要乘除价格?

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