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三年小马哥 · 2020年01月20日

问一道题：NO.PZ2018101501000064

  1. CFA II
  2. Corporate Issuers

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∗(1−T)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∗(1−25%)WACC\frac{0.5\ast(1-25\%)}{WACC}  ，求得WACC = 14.04%

老师，这题没看懂，我的思路是这样


计算过程：1） VL = D+E， 其中 D/E = 0.6，D=1, 得出 E = 1.67， VL = D+E=2.67

2） VL = VU + t*D ，

其中 VU = EBIT*(1-T) / WACC

综上得 WACC = EBIT * (1-t) /(VL - t*D)

EBIT=0.5, t=25%, VL =2.67， t*D = 0.25

WACC= 15.50%


是哪个步骤或者知识点我没搞清楚么~？请老师指点一下，谢谢

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1 个答案

maggie_品职助教 · 2020年01月22日

注意你列的公式是在计算re即100%股权资假设下的股东的要求回报率。而WACC是公司的加权平均融资成本，只有当没有杠杆时（D/E=0）,WACC才等于re。请看下面的截图，当D/E不等于0也就是随着杠杆比率上升，WACC是下降的。而你计算的是D/E=0时的r0:

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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