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Helen 🎈 · 2023年03月20日

照着答案我可以照葫芦画瓢

NO.PZ2021091701000017

问题如下:

Happy Resorts Company currently has 1.2 million common shares of stock outstanding, and the stock has a beta of 2.2. It also has $10 million face value of bonds that have five years remaining to maturity and an 8% coupon with semiannual payments and are priced to yield 13.65%. If Happy issues up to $2.5 million of new bonds, the bonds will be priced at par and will have a yield of 13.65%; if it issues bonds beyond $2.5 million, the expected yield on the entire issuance will be 16%. Happy has learned that it can issue new common stock at $10 a share. The current risk-free rate of interest is 3%, and the expected market return is 10%. Happy’s marginal tax rate is 30%. If Happy raises $7.5 million of new capital while maintaining the same debt-to-equity ratio, its weighted average cost of capital will be closest to

选项:

A.

14.5%

B.

15.5%

C.

16.5%

解释:

B is correct. The capital structure is as follows:

Market value of debt: FV = $10,000,000, PMT = $400,000, N = 10, and I/YR = 6.825%. Solving for PV gives $7,999,688.

Market value of equity: 1.2 million shares outstanding at $10 = $12,000,000


To raise $7.5 million of new capital while maintaining the same capital structure, the company would issue $7.5 million × 40% = $3.0 million in bonds, which results in a before-tax rate of 16%.

rd(1 – t) = 0.16(1 – 0.3) = 0.112, or 11.2%.

re = 0.03 + 2.2(0.10 − 0.03) = 0.184, or 18.4%.

WACC = 0.40(0.112) + 0.6(0.184) = 0.0448 + 0.1104 = 0.1552, or 15.52%

但是,对于题目不太理解啊老师。救救我。

 If Happy raises $7.5 million of new capital while maintaining the same debt-to-equity ratio, 

他为啥要这么做?为啥要保持ratio不变?

不懂他新发行这一块,为啥7.5*40%?我知道是与上面大于小于2.5m做比较。

老师,我太乱了,就是今天做了题,明天再遇见这种题绝对不记得了。其实好多题我都这样啊。

1 个答案

王琛_品职助教 · 2023年03月21日

嗨,努力学习的PZer你好:


1)If Happy raises $7.5 million of new capital while maintaining the same debt-to-equity ratio 他为啥要这么做?为啥要保持ratio不变?

因为出题人想让考生先计算 debt to equity,仅此而已哈,没有其他知识点原理方面的考虑

2)不懂他新发行这一块,为啥7.5*40%?我知道是与上面大于小于2.5m做比较。

因为一共要融资 7.5 million

而 D/E 比例是 4 比 6,所以要计算新发多少债,就要用 7.5 乘以 40%

然后和像同学说的,再和 2.5 比较,才能确定负债的资本成本 rd

也请参考:https://class.pzacademy.com/qa/110742

3)老师,我太乱了,就是今天做了题,明天再遇见这种题绝对不记得了。其实好多题我都这样啊。

如果仅是这道题,同学无需焦虑哈

这道题可谓是课后题中的一个异常值,是巨无霸式的题目,我个人的偏见是考试时绝对不会出现这种题目

虽然题干和解析很长,但是其实只是因为把众多小的考点结合在一起而已,考试时更大的概率是考查其中的单个考点

关于同学所提的问题,我理解可能和知识点原理的掌握有关,可能是原理还没有理解透彻,所以做题时,把握不了解题思路

建议同学可以试着先听一下强化班,掌握好知识点框架,然后再做一下经典题,然后把老师讲解的解题思路及知识点原理掌握好

然后如果具体哪个知识点还不清楚,可以再听一下基础班的具体讲解,看这样会不会好一点哈

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加油吧,让我们一起遇见更好的自己!

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