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杨木木 · 2020年12月17日

RI = EVA 只是考虑角度不同?

* 问题详情,请 查看题干

问题如下:

4. Based on Exhibit 1, residual income for SSX is closest to:

选项:

A.

€40.9 million.

B.

€90.2 million.

C.

€133.9 million.

解释:

C is correct.

The residual income can be calculated using net income and the equity charge or using net operating profit after taxes (NOPAT) and the total capital charge. Residual income = Net income – Equity charge

Calculation of Net Income (values in millions):

Equity charge = Total assets × Equity weighting × Cost of equity

Equity charge = €4,000 million × 0.40 × 0.15 = €240 million

Therefore, residual income = €373.9 million – €240 million = €133.9 million.

Alternatively, residual income can be calculated from NOPAT as follows.

Residual income = NOPAT – Total capital charge

NOPAT = EBIT × (1 – Tax rate)

NOPAT = €700 million × (1 – 0.35) = €455 million

The total capital charge is as follows.

Equity charge = Total assets × Equity weighting × Cost of equity

= €4,000 million × 0.40 × 0.15

= €240 million

Debt charge = Total assets × Debt weighting × Pretax cost of debt × (1 – Tax rate)

= €4,000 million × 0.60 × 0.052(1 – 0.35)

= €81.1 million

Total capital charge = €240 million + €81.1 million

= €321.1 million

Therefore, residual income = €455 million – €321.1 million = €133.9 million

老师您好,我想确认一下思路对不对。

在答案中,两种方式可以算出,分别是上课学到的RI & EVA

这两种方法应该算出来结果一样,只是RI是Equity角度,EVA从Firm角度出发是吗?

那以后其他的题,也一定是RI和EVA算出来结果都一样吗

1 个答案
已采纳答案

Debrah_品职答疑助手 · 2020年12月18日

同学你好。EVA和RI不是同一个指标。

EVA指的是站在公司角度计算剩余价值,而RI是站在普通股股东角度计算剩余价值。

但是在如下两个假设同时成立的时候,题目会出现了RI恰好等于EVA的情况。

首先,是债务的边际成本等于公司整体融资成本Rd。也就是影响NI的interest rate=Rd。 RI=NI-equity charge=(EBIT-I)(1-T)-equity charge=EBIT(1-T)-I*(1-T)-equity charge=EBIT(1-T)-BV(debt)*Rd*(1-T)-BV(equity)*Re

其次,计算WACC需要的wd和wd,用的是Book value而不是market value(原本计算WACC需要的是market value)。 EVA=EBIT(1-T)-Debt charge-equity charge=EBIT(1-T)-BV(debt)*Rd*(1-T)-BV(equity)*Re 这样RI=EVA。 所以建议做题目的时候,最好还是使用RI原本的公式。

杨木木 · 2020年12月20日

非常感谢老师的细心回答!

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