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苏·Xu · 2023年03月11日

NO.PZ2022061307000009

问题如下:

Question Which of the following statements is most accurate concerning a short position of 100 shares of a stock at $50 per share?

选项:

A.Maximum loss of $5,000 B.Maximum gain of $5,000 C.Unlimited maximum gain

解释:

Solution

B is correct. The potential gains on a short position are limited to no more than 100%; the potential losses are unbounded. The lowest market price per share an investor can repurchase the stock to return to the security’s lender is $0, so the maximum gain is ($50 – $0) × 100 = $5,000.

A is incorrect. The potential losses are unbounded because the market price that an investor can repurchase the stock to return to the security’s lender can go up with no limit. If the stock goes from $50 to $135 per share the loss would be $8,500.

C is incorrect. The potential gains on a short position are limited to no more than 100%: ($50 – $0) × 100 = $5,000.

请问这题如何理解?

1 个答案

王园圆_品职助教 · 2023年03月11日

嗨,从没放弃的小努力你好:


这道题的意思就是:如果投资者以50美元的价格卖空了100股股票,问以下哪个说法是正确的?

A选项说此时投资者最大亏损时5000美元。——卖空情况下,股票只要价格上涨就会有亏损,理论上价格上涨是没有上限的,所以卖空的投资者亏损就可能是无限的,A错误

B选项说投资者最大的盈利是5000美元。——卖空时,股价下跌就有盈利。因为卖空时的股价使50美元,股票最多跌倒0元不能跌更多了。所以卖空的投资者最多可以赚(50-0)*100=5000美元——B对

C选项说投资者可以有无限的盈利。——参见B选项我们就知道,卖空者的盈利是有上限的,不可能有无限盈利,所以C错。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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