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Viola欧拉 · 2024年02月18日

老师可以重新讲一遍解题过程吗?(需要每一步+中文为主,英文为辅)

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.

老师这套题我算出来结果接近B,但是不是B,过程肯定有问题,但是又不知道在哪里有问题。求重新讲解一遍,🙏

1 个答案

王园圆_品职助教 · 2024年02月18日

同学你好,首先,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

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