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472121 · 2020年08月06日

问一道题:NO.PZ2018101501000038

问题如下:

Company M is investing in a four-year project, relevant information is shown in the following table. The company is in the 25% tax bracket. The weighted average cost of capital and the cost of equity is 10% and 15%, respectively. What`s the market value added (MVA)?

选项:

A.

56,070.52

B.

62,625.16

C.

55,795.03

解释:

B is correct.

考点:Other Valuation Models

解析根据公式MVA=t=1nEPt(1+WACC)tMVA=\sum_{t=1}^n\frac{EP_t}{{(1+WACC)}^t}

其中EP=EBIT(1T)WACCcapitalEP=EBIT\ast(1-T)-WACC\ast capital

EP1 = 30,000*(1-25%)-10%*80,000 =14,500 同理可得EP2 = 24,000;EP3 = 18,500

需要注意的是第四年的EBIT要加回残值的影响

EBIT4 = 20,000+10,000/(1-25%) = 33,333.33,EP4 = 23,000

MVA=14,5001.1+24,0001.12+18,5001.13+23,0001.14=62,625.16MVA=\frac{14,500}{1.1}+\frac{24,000}{1.1^2}+\frac{18,500}{1.1^3}+\frac{23,000}{1.1^4}=62,625.16

老师你好,最后一期为什么要加上残值呢,怎么去理解?谢谢~

2 个答案

王琛_品职助教 · 2020年08月08日

@牛魔王

同学你好,针对你的问题

老师,我看了你说的33,和38题,里面那个对残值现金流的处理,是按税后处理的,但是这里的第四年残值10000又除以(1-25%),然后才加第四年EBIT,这不是冲突了吗?

答复如下:不冲突,两种算法的结果都是 25000。

  • 课后题的处理方法:EBIT(1-T)+税后残值
  • 这道题的处理方法:10000/0.75,相当于是把它变回税前的,先和 EBIT 相加,然后再乘以(1-t)

如果你觉得这道题的处理方法有点绕,可以直接按课后题的处理方法即可哈。

王琛_品职助教 · 2020年08月07日

嗨,从没放弃的小努力你好:


同学你好,

结论

  • 因为项目结束了,变卖资产残值获得的现金流也是你经营项目的一部分。(相当于项目做完了,要收回所有投资)
  • 其实不光是 EP,其他估值方法,都要考虑期末税后残值。

参考

有问必答上,有一道类似的回答,可供参考哈:

建议

以上,相信你对期末残值会有更多了解,建议再做两道课后题,搭配食用,效果更好。

  • 33 题
  • 38 题

-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


牛魔王 · 2020年08月07日

老师,我看了你说的33,和38题,里面那个对残值现金流的处理,是按税后处理的,但是这里的第四年残值10000又除以(1-25%),然后才加第四年EBIT,这不是冲突了吗?

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