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FrankSun · 2019年11月05日

问一道题:NO.PZ2015122801000004

问题如下:

Daisy shorts 1800 shares of KIY company's stock on a 30% initial margin and the broker's lending rate is 2.5%. The current price is $65 per share. The broker charges a commission of $0.02 per share on sales but purchases for free. KIY stock pays an annual dividend of $1 per share. One year later, Daisy buys the 1800 shares at a price of $58 per share and close the position.Which of the following is closest to Daisy's rate of return?

选项:

A.

24.98%.

B.

24.81%

C.

32.55%.

解释:

B is correct.

Initial principal = 1800*65*0.3= 35100. The commission on sale( calculating as a part of initial cost)=1800*0.02=36

Remaining principal=1800*65*0.7=81900 ,so the first expense---lending interest=81900*2.5%=2047.5

The second expense---dividend payment=1*1800=1800, and there is no purchase commission.

The return on this investment=1800*65-1800*58-36-2047.5-1800=8716.5

Yield=8716.5/(35100+36)=24.81%

老师,The broker charges a commission of $0.02 per share on sales but purchases for free. 也就是这个0.02是我们的成本啊,为什么答案是加上,不应该跟其他几项比如融资成本,分红需要偿还给对方的成本一样减去吗?谢谢

1 个答案

maggie_品职助教 · 2019年11月05日

这道题就是计算杠杆投资的收益率,收益率等于的是投资总的收益除以一开始的初始投入资金,需要注意我们初始投入的钱除了35100的自由资金以外,还支付了36的手续费,不交手续费你就买不到股票。所以总的初始投入就要加上这部分。