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zhouanne · 2022年10月14日

这道题没太明白

NO.PZ2019120301000038

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.$7.72.

B.$7.57.

C.$7.69.

解释:

Solution

A is 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.


B is incorrect. Preferred dividends were included after preferred conversion (see table).

C is 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 (see table).

没太明白的地方是关于可转债和可转优先股在股利上是用转之前的share乘百分比还是转换之后的,这道题可以帮忙写一下详细公式吗

1 个答案

王园圆_品职助教 · 2022年10月14日

嗨,爱思考的PZer你好:


同学你好,无论优先股还是可转债,分子都是用的转换之前的数据进行计算的,而分母是需要考虑转换之后的所有普通股股份数的

具体公式,针对可转债计算是否需要转换时的计算:分子=NI - preferred stock dividend + interest of convertible bond*(1-t) = 1,000,000 -2,000*10 + 80,000*8%*(1- 40%) = 983,840

分母 = weighted average common stock shares + common shares converted from convertible bond = 100,000+80,000/100*25 = 120,000


同理,针对优先股是否需要转换的计算:分子 = NI - preferred stock dividend + preferred stock dividend = 1,000,000

分母 = weighted average common stock shares + common shares converted from preferred stock = 100,000 +2,000*5 = 110,000

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