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izzyli · 2023年10月03日

咨询一下:不用减去cost of debt的吗?

NO.PZ2023032701000053

问题如下:

Because New Market Products (NMP) markets consumer staples, it is able to make use of considerable debt in its capital structure; specifically, 90 percent of the company’s total assets of $450,000,000 are financed with debt capital. Its cost of debt is 8 percent before taxes, and its cost of equity capital is 12 percent. NMP achieved a pretax income of $5.1 million in 2006 and had a tax rate of 40 percent. What was NMP’s residual income?

选项:

A.

-$2,340,000

B.

-$4,370,000

C.

-$3,060,000

解释:

In this problem, interest expense has already been deducted in arriving at NMP’s pretax income of $5.1 million.

Therefore,

Net income = Pretax income × (1 – Tax rate)

= $5.1 million × (1 – 0.4)

= $5.1 × 0.6 = $3.06 million

Equity charge = Total equity × Cost of equity capital

= (0.1 × $450 million) × 12%

= $45 million × 0.12 = $5,400,000

Residual income = Net income – Equity charge

= $3,0600,000 - $5,400,000 = –$2,340,000

NMP had negative residual income of -$2,340,000.

咨询一下:不用减去cost of debt的吗?

1 个答案
已采纳答案

王园圆_品职助教 · 2023年10月03日

同学你好,不用哦,RI = NI -Re*BV

因为本题给的条件是pretax income,而不是EBIT,既然是pretax income,就是已经扣除了利息费用的收入,而cost of debt主要就体现在interest上(也就是说,只有题目给的是EBIT或operating income的时候才需要再减去interest)。