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王沛 · 2020年09月06日

问一道题:NO.PZ201601200500002104

* 问题详情,请 查看题干

问题如下:

4. Based on Exhibits 1 and 2, what debt-to-total capital ratio would minimize MBG’s weighted average cost of capital?

选项:

A.

20%.

B.

30%.

C.

40%.

解释:

B is correct.

Let V = D + E:

rwacc=(DV)rd(1t)+(EV)rer_{wacc}={(\frac DV)}r_d(1-t)+(\frac EV)r_e

At D/V = 20%, ra= (0.2)(0.077)(1 -0.35) + (0.8)(0.125) = 0.1100

= 11.00%

At D/V = 30%, ra = (0.3)(0.084)(1 -0.35) + (0.7)(0.130) = 0.1074

= 10.74%

At D/V = 40%, ra= (0.4)(0.093)(1 -0.35) + (0.6)(0.140) = 0.1082

= 10.82%

At D/V = 50%, ra= (0.5)(0.104)(1 -0.35) + (0.5)(0.160) = 0.1138

= 11.38%

从答案来看,这里的 total capital 指的是firm的value吗?但是total capital 不是应该是equity吗?

1 个答案

王琛_品职助教 · 2020年09月07日

同学你好,

  • 如果是 total capital,是指 firm value
  • 如果是想说 债权 / 股权,会用关键字:debt/equity ratio
  • 参考课后题的题干
    • 第 4 题选项 C:”the company’s debt/equity ratio has moved beyond the optimal range.”
    • 第 14-19 题的题干:”Bema indicates that its debt/equity ratio will increase to 0.6 and its before-tax cost of debt will be 6%.”
  • 你这里留意是对的,万一协会这里出个陷阱,给的不是 D/V, 而是 D/E, 计算时还需要多一步
  • 不过这里直接给的就是 债权的权重 wd,所以不需要再换算了哈