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sophialinlinlin · 2022年12月06日

为什么理解不了1-t的含义

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\%

我在计算的时候,我思路也是NI先加回Dep的金额,再减去费用的金额,但我是这么理解的:在计算NI的时候, Revenue-COGS-SG&A-Dep-Tax等,然后得到NI,这里的Dep=0.1mm, 对Dep收取的Tax=0.1mm*27%,然后加回来就是NI+0.1mm+0.1mm*27*%, 再重新从开始走,那就是NI+0.1mm+0.1mm*27*%-0.5mm-0.5mm*t。我这样算,就变成了全是1+t了,求问我这思路哪里有问题啊?

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已采纳答案

王园圆_品职助教 · 2022年12月06日

嗨,爱思考的PZer你好:


同学你好,请看以下的公式推导。

假设公司收入R万,折旧D万,税率T%,没有其他费用,那NI= (R - D)*(1-t) = R*(1-t) - D*(1-t)=R*(1-t) - D + D*t

由于折旧是税前列支的,所以折旧费用就会使公司的税前应缴税的利润变小,也就是最后由于折旧的存在,公司反而少交了折旧*税率的费用,最后就导致净利润增加了D*t的量——这就是税盾,所有税前可以扣除的费用都具有税盾的作用


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sophialinlinlin · 2022年12月06日

我明白了,原来我忽略了它是税前列支这件事,我这样算就成了它是税后列支了

王园圆_品职助教 · 2022年12月06日

嗨,努力学习的PZer你好:


好的,同学加油!

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加油吧,让我们一起遇见更好的自己!

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