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erin_hi1990 · 2023年07月04日

老师可以讲一下这题的公式推导吗?以及为什么不可以用如下这种方式计算?

NO.PZ2023032701000040

问题如下:

Yee makes the following critical assumptions

2013 earnings per share (EPS) will be $1.80.

EPS will grow forever at 6% annually.

Cost of equity=12.0%

For 2013 and beyond:

Net capital expenditures (fixed capital expenditures minus depreciation) will be 30% of EPS.

Investments in working capital will be 10% of EPS.

Of future investments, 60% will be financed with equity and 40% will be financed with debt.

Using Yee’s assumptions and the FCFE valuation approach, the year-end 2012 value per share of McLaughlin’s common stock is closest to:

选项:

A.

$24.17

B.

$22.80

C.

$18.00

解释:

如下方式计算的问题在哪?v=1.8*(1-0.3-0.1)(1+6%)/(12%-6%)

1 个答案

王园圆_品职助教 · 2023年07月04日

同学你好,相关公式推导请看以下讲义截图

截图中第二个黑点写了原理:当公司假设会维持一定的资本结构保持不变的时候,那公司的WCInv+FCInv去除折旧后的净值这个必要的资本支出,就应该由固定的一部分是由NB来支持(剩下一部分通过股权融资完成),那此时NB = (WCInv + FCInv -Dep)* target debt ratio

将这个NB带入FCFE的公式里,就可以得到以下讲义截图的蓝色公式。如果进一步化简就会得到解析中的公式

而同学你的公式“1.8*(1-0.3-0.1)”这个部分,助教猜测你是想计算FCFE?可是这里你忘了将NB加上了

另外,这里你将计算的FCFE又乘以(1+6%)?那你计算的就是2014年的FCFE而非2013年的

以2014年的FCFE为分子计算的终值落在的时间点是2013年年末,但是2013年年末本身还有一笔FCFE2013

所以如果你想以2014年FCFE作为计算终值的方式,那最后折现计算V的时候,需要将这个终值和FCFE2013一起向前折现一年到2012年年末,才是真正的value

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