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

Sissiwonglx · 2022年05月15日

老师这道题有2点不明白

NO.PZ2016021705000030

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 8 percent coupon with semi-annual payments, and are priced to yield 13.65 percent. If Happy issues up to $2.5 million of new bonds, the bonds will be priced at par and have a yield of 13.65 percent; if it issues bonds beyond $2.5 million, the expected yield on the entire issuance will be 16 percent. Happy has learned that it can issue new common stock at $10 a share. The current risk-free rate of interest is 3 percent and the expected market return is 10 percent. Happy's marginal tax rate is 30 percent. If Happy raises $7.5 million of new capital while maintaining the same debt-to-equity ratio, its weighted average cost of capital is closest to:

选项:

A.

14.5 percent.

B.

15.5 percent.

C.

16.5 percent.

解释:

B is correct.

Capital structure:Market value of debt: FV = $10,000,000, PMT = $400,000, N = 10,I/YR = 13.65%/2. Solving for PV gives the answer $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 percent.

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%

1. 算PV的时候为什么N=10? 我理解的semi-annual 下都应该乘以2?

2.第二步计算rd. re 的时候,re 用的是什么公式啊?

1 个答案

王琛_品职助教 · 2022年05月16日

嗨,从没放弃的小努力你好:


1)算PV的时候为什么N=10? 我理解的semi-annual 下都应该乘以2?

是的,因为 N 是「记息次数」,反映未来的现金流次数,并不一定是「年」

所以,只有按「年」记息时,N 才等于债券剩余到期年份数;其余情况,都需要根据记息频率调整

比如,semi-annual 半年记息一次,就要用剩余到期年份数乘以 2

如果是按季度记息一次,就要用剩余到期年份数乘以 4

一般常见的是 semi-annual

2)第二步计算rd. re 的时候,re 用的是什么公式啊?

用的是 CAPM 公式,请参考基础班讲义 P91-P92

----------------------------------------------
加油吧,让我们一起遇见更好的自己!

  • 1

    回答
  • 0

    关注
  • 937

    浏览
相关问题

NO.PZ2016021705000030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 percent coupon with semi-annupayments, anare priceto yiel13.65 percent. If Happy issues up to $2.5 million of new bon, the bon will pricepanhave a yielof 13.65 percent; if it issues bon beyon$2.5 million, the expecteyielon the entire issuanwill 16 percent. Happy hlearnethit cissue new common sto$10 a share. The current risk-free rate of interest is 3 percent anthe expectemarket return is 10 percent. Happy's margintrate is 30 percent. If Happy raises $7.5 million of new capitwhile maintaining the same bt-to-equity ratio, its weighteaverage cost of capitis closest to: A.14.5 percent.B.15.5 percent.C.16.5 percent.is correct.Capitstructure:Market value of bt: FV = $10,000,000, PMT = $400,000, N = 10,I/YR = 13.65%/2. Solving for PV gives the answer $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 percent.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%issue up to 2.5不是指大於2. 5的規模,而issue beyoon則是小於嗎?不是很理解這里的意思

2022-10-19 12:06 1 · 回答

NO.PZ2016021705000030 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 percent coupon with semi-annupayments, anare priceto yiel13.65 percent. If Happy issues up to $2.5 million of new bon, the bon will pricepanhave a yielof 13.65 percent; if it issues bon beyon$2.5 million, the expecteyielon the entire issuanwill 16 percent. Happy hlearnethit cissue new common sto$10 a share. The current risk-free rate of interest is 3 percent anthe expectemarket return is 10 percent. Happy's margintrate is 30 percent. If Happy raises $7.5 million of new capitwhile maintaining the same bt-to-equity ratio, its weighteaverage cost of capitis closest to: A.14.5 percent. B.15.5 percent. C.16.5 percent. is correct.Capitstructure:Market value of bt: FV = $10,000,000, PMT = $400,000, N = 10,I/YR = 13.65%/2. Solving for PV gives the answer $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 percent.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% 这道题我按计算器算的债券的现值是8.193million是我哪里算错了么?

2022-08-29 21:18 1 · 回答

NO.PZ2016021705000030 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 percent coupon with semi-annupayments, anare priceto yiel13.65 percent. If Happy issues up to $2.5 million of new bon, the bon will pricepanhave a yielof 13.65 percent; if it issues bon beyon$2.5 million, the expecteyielon the entire issuanwill 16 percent. Happy hlearnethit cissue new common sto$10 a share. The current risk-free rate of interest is 3 percent anthe expectemarket return is 10 percent. Happy's margintrate is 30 percent. If Happy raises $7.5 million of new capitwhile maintaining the same bt-to-equity ratio, its weighteaverage cost of capitis closest to: A.14.5 percent. B.15.5 percent. C.16.5 percent. is correct.Capitstructure:Market value of bt: FV = $10,000,000, PMT = $400,000, N = 10,I/YR = 13.65%/2. Solving for PV gives the answer $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 percent.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%

2022-07-30 13:14 1 · 回答

NO.PZ2016021705000030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 percent coupon with semi-annupayments, anare priceto yiel13.65 percent. If Happy issues up to $2.5 million of new bon, the bon will pricepanhave a yielof 13.65 percent; if it issues bon beyon$2.5 million, the expecteyielon the entire issuanwill 16 percent. Happy hlearnethit cissue new common sto$10 a share. The current risk-free rate of interest is 3 percent anthe expectemarket return is 10 percent. Happy's margintrate is 30 percent. If Happy raises $7.5 million of new capitwhile maintaining the same bt-to-equity ratio, its weighteaverage cost of capitis closest to: A.14.5 percent. B.15.5 percent. C.16.5 percent. is correct.Capitstructure:Market value of bt: FV = $10,000,000, PMT = $400,000, N = 10,I/YR = 13.65%/2. Solving for PV gives the answer $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 percent.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%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 percent coupon with semi-annupayments, anare priceto yiel13.65 percent. If Happy issues up to $2.5 million of new bon, the bon will pricepanhave a yielof 13.65 percent; if it issues bon beyon$2.5 million, the expecteyielon the entire issuanwill 16 percent. Happy hlearnethit cissue new common sto$10 a share. The current risk-free rate of interest is 3 percent anthe expectemarket return is 10 percent. Happy's margintrate is 30 percent. If Happy raises $7.5 million of new capitwhile maintaining the same bt-to-equity ratio, its weighteaverage cost of capitis closest to:您的回答正确答案是: BA不正确14.5 percent.B15.5 percent.C16.5 percent.To 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 percent.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%问题17,999,688我算出来了,1.2millions of common shares of stock是指市值还是股票数量,我看老师回答里面有人问,老师回答是股票数量,但这里奇怪,Happy hlearnethit cissue new common sto$10 a share,这里应该用的是债券和股票的market value对吗?,发行价10元是primary market,二级市场可高可低,一级市场的股票价格算market value of stoprice吗?问题2我没看懂后面40% 60%,股债比应该是7999688/12000000把?这个结果是0.66,和40% 60%没关系?这数字哪里来的?问题3If Happy raises $7.5 million of new capitwhile maintaining the same bt-to-equity ratio。那就是股债比和之前一样是0.66? new capital指的是股票+债券对吗?因为这里没有明确说raise 啥问题416%不是entire issuance吗?应该是债加股才对?这里答案怎么用到债券上了?谢谢,请讲下求出7999688以后的解题思路

2022-03-23 23:07 1 · 回答