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phoebeqp · 2023年09月09日

No.PZ201602170500003204关于计算器的一个小问题

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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%

我的步骤都是对的 但是发现计算器按出来结果错了 导致后面的结果错了 主要是关于百分号的地方

在计算Re的时候,应该是5.25%+βe*7% βe=2.5056

我是这么按的: 2.5056--> x --> 7 -->% --> + --> 5.25 --> % --> = 最后结果是0.1846 我发现主要问题出在算加法这部分 2.5056*7%这里都是正确的,算出来时0.1754 但是如果我直接用0.1754+5.25然后再按%,最后结果就不对了,就算我加上括号0.1754 --> + --> ( --> 5.25 --> % -->) 这样算下来还是0.1846 我应该怎么按才对呢?

1 个答案
已采纳答案

王琛_品职助教 · 2023年09月11日

嗨,从没放弃的小努力你好:


1

同学好,按百分号其实会增加计算器的按键数量

所以我建议,是否在按之前,直接把百分数换算成小数,再按计算器?

这样就不涉及百分号了

2

比如:7% 就是 0.07

βe*7% = 2.5055 x 0.07 = 0.175385

5.25% 就是 0.0525

Cost of equity = 0.0525 + 0.175385 = 0.227885

3

或者,咱们算 re 时,带入公式的,除了 βe,其他的都是百分数

也可以不考虑百分数,直接带入百分数前面的数字

比如:Cost of equity = 5.25 + 2.5055 x 7 = 22.7885,即 22.7885%

同学看哪种方式用着更顺手哈

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加油吧,让我们一起遇见更好的自己!

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