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DDAXC · 2022年07月15日

定性判断

NO.PZ2018103102000118

问题如下:

Matt is conducting a FCFF sensitivity analysis for Company M`s value. The most recent FCFF of Company M is $100 million. Assuming the tax rate is 35% and a stable capital structure of 40% debt and 60% equity, the company`s value is least sensitive to:

选项:

A.

cost of equity

B.

growth rate

C.

after-tax cost of debt

解释:

C is correct.

考点:Sensitivity Analysis in FCFF and FCFE

解析:1. Cost of equity敏感性分析:保持rd = 5.5%,g = 5.0%

当re = 8.0%时,WACC = 0.4*5.5% + 0.6*8.0% = 7%

Firm  Value=FCFF0×(1+g)WACCg=100×(1+5%)7%5%=5250Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+5\%\right)}{7\%-5\%}=5250

当re = 12.0%时,WACC = 0.4*5.5% + 0.6*12.0% = 9.4%

Firm  Value=FCFF0×(1+g)WACCg=100×(1+5%)9.4%5%=2386.36Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+5\%\right)}{9.4\%-5\%}=2386.36

Range = 5250 – 2386.36 = 2863.64

2. After-tax cost of debt敏感性分析:保持re = 10%,g = 5%

当rd = 5.0%时,WACC = 0.4*5.0% + 0.6*10.0% = 8%

Firm  Value=FCFF0×(1+g)WACCg=100×(1+5%)8%5%=3500Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+5\%\right)}{8\%-5\%}=3500

当rd = 6.0%时,WACC = 0.4*6.0% + 0.6*10.0% = 8.4%

Firm  Value=FCFF0×(1+g)WACCg=100×(1+5%)8.4%5%=3088.24Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+5\%\right)}{8.4\%-5\%}=3088.24

Range = 3500 – 3088.24 = 411.76

3. Growth rate敏感性分析:保持re = 10%,rd = 5.5%

WACC = 0.4*5.5% + 0.6*10.0% = 8.2%

当g = 4%时,

Firm  Value=FCFF0×(1+g)WACCg=100×(1+4%)8.2%4%=2476.2Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+4\%\right)}{8.2\%-4\%}=2476.2

当g = 6%时,

Firm  Value=FCFF0×(1+g)WACCg=100×(1+6%)8.2%6%=4818.2Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+6\%\right)}{8.2\%-6\%}=4818.2

Range =4818.2 - 2476.2 = 2342

三者相比,敏感性最弱的是after-tax cost of debt。

这道题我想的是,资本结构不发生变化的话,杠杆就不变,那么最明显的就是rd也不变,所以税后rd的影响最小,这样考虑可以吗?

1 个答案
已采纳答案

王园圆_品职助教 · 2022年07月15日

嗨,从没放弃的小努力你好:


同学你好,不建议哦~~

本题表格中明确说了税后的Rd是有三种可能性的而不是不变的,这就已经和同学你的定性思考的前提不一致了

另外,资本结构不发生变化,确实可以知道杠杆就不变,但是无法得出结论”Rd不变“。因为Rd不是公司自己决定的,而是看借款人的要求回报率

最后,如果按照你的思路,那题目中的表格内的大部分信息以及题干中的所有数字信息就都没有使用的必要了

CFA协会可能会故意给出一到两个不必要条件故意造成考生的解题困扰,但是绝对不可能给许多的非必要条件。所以从这个角度思考,只是使用定性方法来判断本题,肯定是有漏洞的。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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NO.PZ2018103102000118 问题如下 Matt is concting a FCFF sensitivity analysis for Company M`s value. The most recent FCFF of Company M is $100 million. Assuming the trate is 35% ana stable capitstructure of 40% an60% equity, the company`s value is least sensitive to: A.cost of equity B.growth rate C.after-tcost of C is correct.考点Sensitivity Analysis in FCFF anFCFE解析1. Cost of equity敏感性分析保持r= 5.5%,g = 5.0%当re = 8.0%时,WA= 0.4*5.5% + 0.6*8.0% = 7%Firm  Value=FCFF0×(1+g)WACC−g=100×(1+5%)7%−5%=5250Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+5\%\right)}{7\%-5\%}=5250FirmValue=WACC−gFCFF0​×(1+g)​=7%−5%100×(1+5%)​=5250当re = 12.0%时,WA= 0.4*5.5% + 0.6*12.0% = 9.4%Firm  Value=FCFF0×(1+g)WACC−g=100×(1+5%)9.4%−5%=2386.36Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+5\%\right)}{9.4\%-5\%}=2386.36FirmValue=WACC−gFCFF0​×(1+g)​=9.4%−5%100×(1+5%)​=2386.36Range = 5250 – 2386.36 = 2863.642. After-tcost of bt敏感性分析保持re = 10%,g = 5%当r= 5.0%时,WA= 0.4*5.0% + 0.6*10.0% = 8%Firm  Value=FCFF0×(1+g)WACC−g=100×(1+5%)8%−5%=3500Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+5\%\right)}{8\%-5\%}=3500FirmValue=WACC−gFCFF0​×(1+g)​=8%−5%100×(1+5%)​=3500当r= 6.0%时,WA= 0.4*6.0% + 0.6*10.0% = 8.4%Firm  Value=FCFF0×(1+g)WACC−g=100×(1+5%)8.4%−5%=3088.24Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+5\%\right)}{8.4\%-5\%}=3088.24FirmValue=WACC−gFCFF0​×(1+g)​=8.4%−5%100×(1+5%)​=3088.24Range = 3500 – 3088.24 = 411.763. Growth rate敏感性分析保持re = 10%,r= 5.5%WA= 0.4*5.5% + 0.6*10.0% = 8.2%当g = 4%时, Firm  Value=FCFF0×(1+g)WACC−g=100×(1+4%)8.2%−4%=2476.2Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+4\%\right)}{8.2\%-4\%}=2476.2FirmValue=WACC−gFCFF0​×(1+g)​=8.2%−4%100×(1+4%)​=2476.2当g = 6%时, Firm  Value=FCFF0×(1+g)WACC−g=100×(1+6%)8.2%−6%=4818.2Firm\;Value=\frac{FCFF_0\times\left(1+g\right)}{WACC-g}=\frac{100\times\left(1+6\%\right)}{8.2\%-6\%}=4818.2FirmValue=WACC−gFCFF0​×(1+g)​=8.2%−6%100×(1+6%)​=4818.2Range =4818.2 - 2476.2 = 2342三者相比,敏感性最弱的是after-tcost of bt。 印象中,sensitivity analysis是某个因素单位变化所引起的结果变化分析。这题中,三个因素的变化幅度不同,high和low的结果直接相减就OK吗?不用考虑每个因素的变化幅度?

2024-04-18 12:01 1 · 回答

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2023-08-15 01:25 1 · 回答

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2023-04-24 07:37 1 · 回答

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2023-01-27 17:09 3 · 回答

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2022-08-08 01:59 1 · 回答