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一颗自然卷 · 2020年03月10日

问一道题:NO.PZ2018101501000064

问题如下:

Company M, a manufacturer of automobile, is in the 25% tax bracket. The company is currently 37.5% debt-financed and 62.5% equity-financed, with the market value of debt and EBIT of $1 million and $0.5 million, respectively. What`s the WACC of Company M according to the MM`s proposition with tax?

选项:

A.

11.25%

B.

14.04%

C.

18.73%

解释:

B is correct.

考点:Capital Structure Theory: with tax

解析根据公式 VL=VD+VE=EBIT(1T)WACCV_L=V_D+V_E=\frac{EBIT\ast(1-T)}{WACC} 

VD = $1 million, D/E = 0.6, 求得VE = $1.67 million

代入VL = 2.67 =0.5(125%)WACC\frac{0.5\ast(1-25\%)}{WACC}  ,求得WACC = 14.04%

请问老师,我们在课上推倒的公式是VL=D+E+=int/Rd+NI*(1-t)/WACC,而答案中直接忽略了int/rd部分,是怎么得来的?

1 个答案
已采纳答案

Debrah_品职答疑助手 · 2020年03月11日

同学你好。

首先,你写的公式是错误的,应该是VL=D+E=int/Rd+NI*(1-t)/Re,分母是Re而不是WACC。

其次,计算企业价值的一般公式是 V=EBIT(1-t)/WACC。当D=0时,WACC=R0=Re, 所以Vu=EBIT(1-t)/R0,这是特殊形式。这个原版书和李老师上课没有讲到,但是在做题的时候会遇到,作为结论记住吧。

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2021-03-17 17:49 1 · 回答

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2020-11-28 18:55 1 · 回答

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