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李梦璐 · 2022年02月03日

边际成本的理解

* 问题详情,请 查看题干

NO.PZ201602170500003204

问题如下:

4. The marginal cost of capital for TagOn, based on an average asset beta of 2.27 for the industry and assuming that new stock can be issued at $8 per share, is closest to:

选项:

A.

20.5 percent.

B.

21.0 percent.

C.

21.5 percent.

解释:

C  is correct.

For debt: FV = 2,400,000; PV = 2,156,000; n = 10; PMT = 150,000

Solve for i. i = 0.07748. YTM = 15.5%

Before-tax cost of debt = 15.5%

Market value of equity = 1 million shares outstanding + 1 million newly issued shares= 2 million shares at $8 = $16 million

Total market capitalization = $2.156 million + $16 million = $18.156 million

Levered beta = 2.27 {1 + [(1 0.23)(2.156/16)]} = 2.27 (1.1038) = 2.5055

Cost of equity = 0.0525 + 2.5055 (0.07) = 0.2279 or 22.79%

Debt weight = $2.156/$18.156 = 0.1187

Equity weight = $16/$18.156 = 0.8813

TagOns MCC = [(0.1187)(0.155)(1 0.23)] + [(0.8813)(0.2279)]

= 0.01417 + 0.20083

= 0.2150 or 21.50%

老师,这里的marginal cost of capital为什么是总的wacc而不是新发1m股票的成本呢?

1 个答案
已采纳答案

王琛_品职助教 · 2022年02月04日

嗨,努力学习的PZer你好:


因为公司的资本结构中,除了股票还有债券,所以 MCC 指的是 WACC

如果只是问新发1m股票的成本,题干会改成问:the cost of equity 或者 the marginal cost of common stock,而不是 the marginal cost of capital

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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