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John Liu · 2024年10月25日

问一道题:NO.PZ2016021705000055 [ CFA II ]

NO.PZ2016021705000055

问题如下:

Crozet Corporation plans to borrow just enough money to repurchase 100,000 shares. The following information relates to the share repurchase:

Crozets earnings per share after the buyback will be closest to:

选项:

A.

$4.03.

B.

$4.10.

C.

$4.23.

解释:

A  is correct.

Total earnings before buyback: $4.00 × 3,100,000 shares = $12,400,000

Total amount of borrowing: $50 × 100,000 shares = $5,000,000

After-tax cost of borrowing the amount of funds needed: $5,000,000 × 0.06 = $300,000

Number of shares outstanding after buyback: 3,100,000 100,000 = 3,000,000 EPS after buyback: ($12,400,000 $300,000)/3,000,000 shares = $4.03

The P/E before the buyback is $50/$4 = 12.5; thus, the E/P is 8 percent. The after-tax cost of debt is 6 percent; therefore, EPS will increase.

老师,为什么回购股票所产生的收益,即E/P=8%,不会增加NI和EPS?

1 个答案

Kiko_品职助教 · 2024年10月25日

嗨,爱思考的PZer你好:


回购「后」的NI会减少, EPS增加。

NI,回购后由于借款产生了利息费用,所以导致NI是下降的。计算方式用$12,400,000 – $300,000

这道题是计算题,求回购「后」的 EPS,思路就是按照解析中的计算步骤,算出来EPS是增加的。解析中最后一段,其实是在印证一个结论,就是如果 Earnings yield (E/P) > after tax cost of debt, 回购后的 EPS 会增加。


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