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Weike · 2024年03月22日

为什么有的时候不需要减去dividend有的时候需要

NO.PZ2023081403000026

问题如下:

Q. For its fiscal year-end, Calvan Water Corporation (CWC) reported net income of USD12 million and a weighted average of 2,000,000 common shares outstanding. The company paid USD800,000 in preferred dividends and had 100,000 options outstanding with an average exercise price of USD20. CWC’s market price over the year averaged USD25 per share. CWC’s diluted EPS is closest to:

选项:

A.USD5.33

B.USD5.54

C.USD5.94

解释:

B is correct. The formula to calculate diluted EPS is as follows:

Diluted EPS = (Net income – Preferred dividends)/[Weighted average number of shares outstanding + (New shares that would have been issued at option exercise – Shares that could have been purchased with cash received upon exercise) × (Proportion of year during which the financial instruments were outstanding)].

The underlying assumption is that outstanding options are exercised, and then the proceeds from the issuance of new shares are used to repurchase shares already outstanding:

Proceeds from option exercise = 100,000 × USD20 = USD2,000,000Shares repurchased = USD2,000,000/USD25 = 80,000

The net increase in shares outstanding is thus 100,000 – 80,000 = 20,000. Therefore, the diluted EPS for CWC = (USD12,000,000 – USD800,000)/2,020,000 = USD5.54.

是diluted EPS才需要减股利么 一般EPS不需要

2 个答案

lynn_品职助教 · 2024年03月24日

嗨,从没放弃的小努力你好:


diluted EPS处理优先股股利如果条件提供了还要减去

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

lynn_品职助教 · 2024年03月24日

嗨,从没放弃的小努力你好:


同学是问分子要减去优先股股利吧,basic eps也要哈




本题的优先股没有提及可以转为普通股,所以不用考虑diluted EPS计算时候分子的优先股分红加回的问题


本题只需要考虑option的转换问题


option一旦转换,公司可以收到的现金=20*100,000 = 2,000,000


公司会用option收到的现金回购股票的份额= 2000000/25 = 80,000


最后由于option 转换实际增加发行的股票数=100000-80000=20,000


diluted EPS = (NI-preferred dividend)/(Weighted average number of shares outstanding+option转换后实际增加的股份数) =(12,000,000-800,000)/(2,000,000+20,000) = 5.54

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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