周同学2025-02-20 21:18:21
周同学看涨期权的价值下限（假设标的为欧式不分红），价值下限不是0-PV(K);未来价格下跌到执行买入价以下，看涨期权就不会行权，相当于就没有价值了啊（就应该为0），然后原本可以用来投资的钱，之前用来买看涨期权了，所以应该减掉投资折现收益，所以看涨期权的下限（欧式不分红）应该是-PV(k)啊
回答（2）
180****86962025-02-22 13:07:28
The minimum value of a European call option (assuming no dividends) is theoretically 0, not
−
𝑃
𝑉
(
𝐾
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−PV(K), because if the underlying asset´s price falls below the strike price, the option won´t be exercised and has no intrinsic value. While the initial premium paid for the option represents an opportunity cost (i.e., the return you could have earned by investing elsewhere), it doesn´t affect the option´s minimum value, which reflects the intrinsic value (if any) and potential future price movements. The option´s value is determined by the present value of expected future payoffs, discounted by the risk-free rate, and cannot be negative. Thus, the lower limit is 0, as the option will not provide negative value regardless of the opportunity cost or discounting of the strike price.
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黄石2025-02-24 09:37:37
黄石同学你好。上面这位同学的回答写的很好，可以以此为准。
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