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傅佳丽Diana · 2020年06月17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%

vu和vl的计算公式可以列一下吗?没有看懂

1 个答案

王琛_品职助教 · 2020年06月18日

同学你好, 关于 Vu 和 VL 的计算公式, 李老师在基础班视频中专门总结过.

其中, VL 可以从两个角度出发理解
- 无杠杆的价值, 加上有杠杆的税盾
- 资产负债表右边等于左边

请参考
- 基础班视频: Capital Structure Theory: with tax
- 播放位置: 5 分 50 秒 ( 1.5 倍速播放) 

 

这道题求的是 WACC, 无法直接使用定义公式计算, 因为 re 和 rd 均未知, 可以借助 VL 的第二个角度的公式去推导.

我把公式推导过程附上了, 请参考.

 

关于 MM 理论的计算题, 套路不多, 建议再多做一些题目熟悉一下. 李老师上课提到的例题, 也可以再回顾一下. 加油!

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Company M, a manufacturer of automobile, is in the 25% tbracket. The company is currently 37.5% bt-financean62.5% equity-finance with the market value of anEBIT of $1 million an$0.5 million, respectively. What`s the WAof Company M accorng to the MM`s proposition with tax? 11.25% 14.04% 18.73% B is correct. 考点CapitStructure Theory: with t解析根据公式 VL=VVE=EBIT∗(1−T)WACCV_L=V_V_E=\frac{EBIT\ast(1-T)}{WACC}VL​=V+VE​=WACCEBIT∗(1−T)​ V= $1 million, E = 0.6, 求得VE = $1.67 million 代入VL = 2.67 = 0.5∗(1−25%)WACC\frac{0.5\ast(1-25\%)}{WACC}WACC0.5∗(1−25%)​ ,求得WA= 14.04% .Vul这个公式和题目用的Vl这两个长得很像,有什么关系吗?

2021-03-17 17:49 1 · 回答

14.04% 18.73% B is correct. 考点CapitStructure Theory: with t解析根据公式 VL=VVE=EBIT∗(1−T)WACCV_L=V_V_E=\frac{EBIT\ast(1-T)}{WACC}VL​=V+VE​=WACCEBIT∗(1−T)​ V= $1 million, E = 0.6, 求得VE = $1.67 million 代入VL = 2.67 = 0.5∗(1−25%)WACC\frac{0.5\ast(1-25\%)}{WACC}WACC0.5∗(1−25%)​ ,求得WA= 14.04% 这题跟mm理论什么关系啊

2020-11-28 18:55 1 · 回答

Company M, a manufacturer of automobile, is in the 25% tbracket. The company is currently 37.5% bt-financean62.5% equity-finance with the market value of anEBIT of $1 million an$0.5 million, respectively. What`s the WAof Company M accorng to the MM`s proposition with tax? 11.25% 14.04% 18.73% B is correct. 考点CapitStructure Theory: with t解析根据公式 VL=VVE=EBIT∗(1−T)WACCV_L=V_V_E=\frac{EBIT\ast(1-T)}{WACC}VL​=V+VE​=WACCEBIT∗(1−T)​ V= $1 million, E = 0.6, 求得VE = $1.67 million 代入VL = 2.67 = 0.5∗(1−25%)WACC\frac{0.5\ast(1-25\%)}{WACC}WACC0.5∗(1−25%)​ ,求得WA= 14.04% 这道题可以用VL=EBIT(1-T)/r0+T来求r0,然后r0=WACC来求吗?为什么实际求解是用VL=EBIT(1-T)/r0求r0,没有T,题目明显是有借债的啊。

2020-11-19 04:16 1 · 回答

Company M, a manufacturer of automobile, is in the 25% tbracket. The company is currently 37.5% bt-financean62.5% equity-finance with the market value of anEBIT of $1 million an$0.5 million, respectively. What`s the WAof Company M accorng to the MM`s proposition with tax? 11.25% 14.04% 18.73% B is correct. 考点CapitStructure Theory: with t解析根据公式 VL=VVE=EBIT∗(1−T)WACCV_L=V_V_E=\frac{EBIT\ast(1-T)}{WACC}VL​=V+VE​=WACCEBIT∗(1−T)​ V= $1 million, E = 0.6, 求得VE = $1.67 million 代入VL = 2.67 = 0.5∗(1−25%)WACC\frac{0.5\ast(1-25\%)}{WACC}WACC0.5∗(1−25%)​ ,求得WA= 14.04% 老师,您的解答中VL 可以从两个角度出发理解 - 无杠杆的价值, 加上有杠杆的税盾 - 资产负债表右边等于左边 。老师,这两个公式中的WACC含义不同是吗?第一个公式的WACC是假设全投资情况的,第二个公式的WACC不是全投资情况的是吗?所以两个公式求的都是VL,但公式相差,就是因为WACC的含义和数值不同对吗?

2020-09-15 09:08 1 · 回答

14.04% 18.73% B is correct. 考点CapitStructure Theory: with t解析根据公式 VL=VVE=EBIT∗(1−T)WACCV_L=V_V_E=\frac{EBIT\ast(1-T)}{WACC}VL​=V+VE​=WACCEBIT∗(1−T)​ V= $1 million, E = 0.6, 求得VE = $1.67 million 代入VL = 2.67 = 0.5∗(1−25%)WACC\frac{0.5\ast(1-25\%)}{WACC}WACC0.5∗(1−25%)​ ,求得WA= 14.04% 老师,为什么VL的公式中没有?不考虑税盾吗?MM有税理论不是VL=VU+吗?

2020-09-09 16:47 2 · 回答