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Luhunlu · 2023年02月01日

老师,看完其他解析还是不太明白

* 问题详情,请 查看题干

NO.PZ201710200100000404

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

EVA是针对总资产的剩余价值,而RI是针对Equity的剩余价值,请问为什么在绝大多数情况下两者是相等的呢?

1 个答案

王园圆_品职助教 · 2023年02月01日

嗨,努力学习的PZer你好:


同学你好,请看以下公式推导

EVA = NOPAT - $WACC = EBIT*(1-t)  - re*equity - rd*(1-t)*debt

其中rd*debt在公司没有隐形债务成本的情况下就等于interest

而equity就和RI公式中的BV0完全一致

所以EVA变形一下就是EVA=EBIT*(1-t)-interest*(1-t) - Re*BV0 

            = EBT*(1-t) -Re*BV0

EBT*(1-t)就等于NI

所以EVA=NI - Re*BV0 = RI 

所以总资产的剩余价值和equity的剩余价值大部分时候相等,是公式推导的来的哦

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2024-08-20 08:28 1 · 回答

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2024-01-24 19:54 2 · 回答

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