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GS · 2021年12月23日

debt PMT怎么算的?

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 Trumpit 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. Trumpit 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. Trumpit’s marginal tax rate is 30 percent. If Trumpit 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%

10M * 8% / 2?

8 percent coupon with semi-annual payments, and are priced to yield 13.65 percent 怎么翻译呢?

1 个答案

王琛_品职助教 · 2021年12月24日

嗨,从没放弃的小努力你好:


关于债券的信息,题干的关键句为: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

面值为 10 million(FV),还有 5 年到期每半年付息一次(N=5*2=10), coupon rate 是年化 8 %,所以每次付息是 10 million * 8% / 2 = 40 万,折现率年化为 13.65%,所以 I/Y 为 13.65/2 = 6.825

这句话主要是让我们计算 Debt 的 market value,按计算器求 PV 为 7,999,688

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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