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Sissiwonglx · 2022年08月09日

CAPM

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%

这道题re是怎么算出来的,看解析没有看懂

1 个答案

王琛_品职助教 · 2022年08月10日

嗨,努力学习的PZer你好:


1

re 的计算方法,正如同学的提问标题,使用的是 CAPM 方法计算

所有公式中需要用到的数据,在题干背景中都已提供哈,咱们直接代入公式计算即可

rf:The current risk-free rate of interest is 3%

贝塔:the stock has a beta of 2.2

rm:and the expected market return is 10%

2

如果同学还是想仔细了解一下完整的解题过程,建议同学可以看一下原版书课后题的讲解哈

因为涉及多个考点,如果使用纯文字形式解读,文字量会很大,建议同学可以通过视频讲解方式,效率更高一些

3

关于这道题的备考建议,也请参考:https://class.pzacademy.com/qa/96556

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加油吧,让我们一起遇见更好的自己!

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NO.PZ2021091701000017 问题如下 Happy Resorts Company currently h1.2 million common shares of stooutstanng, anthe stoha beta of 2.2. It also h$10 million favalue of bon thhave five years remaining to maturity an8% coupon with semiannupayments anare priceto yiel13.65%. If Happy issues up to $2.5 million of new bon, the bon will pricepanwill have a yielof 13.65%; if it issues bon beyon$2.5 million, the expecteyielon the entire issuanwill 16%. Happy hlearnethit cissue new common sto$10 a share. The current risk-free rate of interest is 3%, anthe expectemarket return is 10%. Happy’s margintrate is 30%. If Happy raises $7.5 million of new capitwhile maintaining the same bt-to-equity ratio, its weighteaverage cost of capitwill closest to A.14.5% B.15.5% C.16.5% B is correct. The capitstructure is follows: Market value of bt: FV = $10,000,000, PMT = $400,000, N = 10, anI/YR= 6.825%. Solving for PV gives $7,999,688. Market value of equity: 1.2 million shares outstanng $10 = $12,000,000To raise $7.5 million of new capitwhile maintaining the same capitstructure, the company woulissue $7.5 million × 40% = $3.0 million in bon, whiresults in a before-trate of 16%. r1 – 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%. WA= 0.40(0.112) + 0.6(0.184) = 0.0448 + 0.1104 = 0.1552, or 15.52% 想问一下这个为什要用PV的值来算债券的占比呢,谢谢老师

2023-10-27 18:51 1 · 回答

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2023-03-20 09:11 1 · 回答

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