开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

blade8932 · 2022年12月13日

这道题中DEBT的价值用PV其实不是不是也不太准确,毕竟和common stock时点不是同一个时点吧?

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%

RT

1 个答案

王琛_品职助教 · 2022年12月15日

嗨,爱思考的PZer你好:


用 PV 没问题哈

现在首先要计算出当前的资本结构,所以要用到股和债的市场价值 Market value

债券是什么时候发行的,并不重要,关键是现在还剩 5 年到期,半年付息一次

所以可以通过未来现金流折现的方式,算出当前的债券的市场价值,所以对应 PV

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

  • 1

    回答
  • 0

    关注
  • 549

    浏览
相关问题

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

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% 10美元是新发行的股价,但当前的股价很可能不是这个数。 为什么我们能用这个单价来计算 当前的资本占比呢?

2023-09-29 10:01 1 · 回答

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% 可否一下re是怎么算出来的呢?

2023-04-19 15:31 1 · 回答

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% 但是,对于题目不太理解啊老师。救救我。 If Happy raises $7.5 million of new capitwhile maintaining the same bt-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。

2023-03-20 09:11 1 · 回答

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% 我pv按出来是8192992.165, 题目中的值是按照I/Y保留三位小数算的吗?

2023-02-06 00:56 1 · 回答