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威廉王Wei Wang · 2023年05月04日

此题是求资产费用化之下的ROE,没看懂为什么还按资产折旧摊销的方式计算结果?

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\%

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:

1 个答案

lynn_品职助教 · 2023年05月05日

嗨,努力学习的PZer你好:


此题是求资产费用化之下的ROE,没看懂为什么还按资产折旧摊销的方式计算结果?


因为是考察前后变化的影响。


之前是资本化,现在假设费用化,那么损益表里要把之前资本化导致的折旧费用加回来(500000/5),同时把这笔支出全都体现为费用(500,000),考虑到税收的影响,对损益表的整体影响是会使得NI总共减少 ($500,000-$500,000/5)× (1-27%) = $292,000


NI减少,equity也减少,所以分子分母同时调整。

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NO.PZ2018062018000052问题如下Company M purchasea $500,000 equipment with a 5-yeuseful life the beginning of 2016, consiring the salvage value is zero. The equipment wcapitalizeanpreciateon straight-line metho the enof 2016, enng shareholrs’ equity of company M is 15,000,000, the trate is 27%, net income is 900,000, no vinis taken into account. All else equal, if the equipment were expenserather thcapitalize company M's return on equity the enof 2016 woulbe:A.6.3%.B.4.1%.C.5.6%. B is correct.If the equipment were expenserather thcapitalize company M’s net income anshareholrs’ equity woul$292,000 lower thbefore: ($500,000-$500,000/5)× (1-27%) = $292,000ROE=Net  incomeShareholr′s  equity=900,000−292,00015,000,000−292,000=4.1%ROE=\frac{Net\;income}{Shareholr's\;equity}=\frac{900,000-292,000}{15,000,000-292,000}=4.1\%ROE=Shareholr′sequityNetincome​=15,000,000−292,000900,000−292,000​=4.1% 为什么对NI的影响是减少了100000*(1-27%);1-27%是为什么

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