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一只可爱的猪 · 2020年03月07日

问一道题:NO.PZ201602170500003204

* 问题详情,请 查看题干

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%

marginal cost 就是WACC吗

1 个答案

袁园_品职助教 · 2020年03月08日

同学你好!

WACC 是 Weighted Average Cost of Capital,包括股票和债券。

Marginal cost 是边际成本,边际的概念就是每增加一单位产品带来的总成本的增加。

这道题之所以有marginal 的概念是因为题目中提到了增发1M股票 ,本质上还是再算WACC,只不过是考虑带资产结构变化了带来的边际WACC。

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