NO.PZ2023040301000027
问题如下:
You decide to sell short 100 shares of Charlotte Horse Farms when it is selling at its yearly high of 56. Your broker tells you that your margin requirement is 45% and that the commission on the purchase is $155. While you are short the stock, Charlotte pays a $2.50 per share dividend. At the end of one year, you buy 100 shares of Charlotte at 45 to close out your position and are charged a commission of $145. What is your rate of return on the investment?
选项:
A. 20.56%
22.65%
18.56%
解释:
Profit on a short sale = Begin value — Ending value — Dividends( Interest)— Trans. costs
ü Beginning value of investment = $56.00 x 100 =$5,600 (Sold under a short sale arrangement)
ü Ending value of investment = $45.00 x 100=$4,500
ü Transaction costs= $155 + $145 =$300.00
ü Dividends = $2.50 x 100 shares =$250.00
ü Profit= $5,600 — $4,500 — $250 — $300= $550.00
Ø Initial investment = Margin requirement + Commission = (0.45 x $5,600) + $155= $2,520 + $155= $2,675
The rate of return on your investment is 20.56%=$550.00 / $2,675
请问老师我是否可以这样理解,在之前的一道问题中我们是拥有多头头寸,因此收益率的计算思路是用期末资产减去期初投入的自有资金然后再除以自由资金,这个过程中佣金已经被分别扣减了两次,但是是分散在两次计算过程中的,实际上利润也是扣减了两次的佣金;但在这道题中我们持有的是空头头寸,就是直接计算利润去除以期初的自有资金,不用再计算期末的资产,因此体现在计算过程中就是直接一次性扣减了两次的佣金,这样理解正确吗