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little_back · 2020年02月16日

问一道题:NO.PZ2018101501000061

问题如下:

Matt, CFA, is investigating the capital structure of Company M, a manufacturer of automobile. The company is in the 25% tax bracket. Matt expects that a change in financial leverage may result in different WACC. He has estimated different situations in the following table. Under which of the following situations, Company M`s WACC is smallest?

选项:

A.

E/A = 75%

B.

E/A = 70%

C.

E/A = 60%

解释:

B is correct.

考点:Capital Structure Theory: with tax

解析根据公式WACC=DArd(1T)+EAreWACC=\frac DA\ast r_d\ast(1-T)+\frac EA\ast r_e

D/A = 25%, E/A = 75%,代入得WACC = 0.25 * 7% * (1-25%) + 0.75 * 10% = 8.8125%

D/A = 30%, E/A = 70%,代入得WACC = 0.3 * 7.2% * (1-25%) + 0.7 * 10.25% = 8.795%

D/A = 40%, E/A = 60%,代入得WACC = 0.4 * 8.5% * (1-25%) + 0.6 * 11.5% = 9.45%

这道题的答案按照B计算是没错,但是MM2理论,随着D的占比越大,WACC越小,当D=100%,WACC达到最小。可否理解题目数字出错了?

1 个答案

maggie_品职助教 · 2020年02月17日

你的提醒非常好,这道题没错,但是它的考点标签错了。它不属于MM2 with tax,而是Static Trade-Off Theory的题目。我们尽快修改其分类。