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Mr.王 · 2020年09月01日

问一道题:NO.PZ2018062018000052

问题如下:

Company M purchased a $500,000 equipment with a 5-year useful life at the beginning of 2016, considering the salvage value is zero. The equipment was capitalized and depreciated on straight-line method. At the end of 2016, ending shareholders’ equity of company M is 15,000,000, the tax rate is 27%, net income is 900,000, no dividend is taken into account. All else equal, if the equipment were expensed rather than capitalized, company M's return on equity at the end of 2016 would be:

选项:

A.

6.3%.

B.

4.1%.

C.

5.6%.

解释:

B is correct.

If the equipment were expensed rather than capitalized, company M’s net income and shareholders’ equity would be $292,000 lower than before: ($500,000-$500,000/5)× (1-27%) = $292,000

ROE=Net  incomeShareholders  equity=900,000292,00015,000,000292,000=4.1%ROE=\frac{Net\;income}{Shareholder's\;equity}=\frac{900,000-292,000}{15,000,000-292,000}=4.1\%

请问,这道题为什么是用 ($500,000-$500,000/5)× (1-27%) = $292,000?


我的理解是,用原先的$900,000的NI 倒推算出税前利润,然后用原先的税前利润减去每年的折旧($500,000/5),然后再乘税率算出新的NI,最后用新的NI/Equity 算出来新的ROE。 这样算法为什么会错呢?

1 个答案

纠纠_品职答疑助手 · 2020年09月01日

嗨,从没放弃的小努力你好:


($500,000-$500,000/5)× (1-27%) = $292,000

这个是两种方法税后的费用差。 500,000是费用化时候产生的费用,$500,000/5是用5年摊销第一年产生的费用 ,再乘以(1-27%)就是是交完税以后的差额。

同学倒算也可以,到算出税前利润,再原先利润中已经扣除了500,000一次性费用化的费了,要一并加回去。然后再减去500,000/5。然后乘以税率在算出新的NI。

然后Equity 也是要调整,因为利润增加了$292,000,所以Equity也要再加回。


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