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皓月 · 2025年05月20日

没太理解statement 2为什么是对的

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问题如下:

Determine whether each of Cunningham’s statements is most likely correct. Justify each response.

选项:

解释:

Correct Answer:

Statement 1 is correct.

At-the-money options provide the best choice to delta hedge any existing position. For example, SEA stock is currently trading at $110.50. If one buys a $110 put, which is the closest to the money option from Exhibit 1, the downside risk below $110 is protected. However, the delta hedge is difficult to maintain as gamma tends to be largest for at-the-money options.

Statement 2 is correct.

Volatility skew is a more common shape of the implied volatility curve, where the implied volatility for out-of-the-money puts increases relative to that of out-of-the-money calls. This shape persists across asset classes and over time because investors generally have less interest in out-of-the-money calls, whereas out-of-the money put options have broader demand as portfolio insurance against a market sell-off.

老师能用中文解释一下吗?

1 个答案

李坏_品职助教 · 2025年05月20日

嗨,从没放弃的小努力你好:


Statement 2: In a bearish market, implied volatility of out-of-the-money puts increases compared to that of out-of-the-money calls, resulting in a volatility skew.


在熊市的时候,虚值看跌期权的隐含波动率 大于 虚值看涨期权的隐含波动率。


熊市的时候,投资者对股票下跌会出现过度恐慌,而机构投资者(主要是基金公司)很害怕手里股票突然暴跌,所以宁可支付更加昂贵的期权费去购买虚值看跌期权作为保险。基金经理一般不会去赌股票突然暴涨,所以虚值看涨期权在熊市没有太大的吸引力。


既然是虚值看跌期权的需求更高,那么虚值看跌期权的期权费明显会大于 虚值看涨期权,而隐含波动率与期权费是正相关的,所以虚值看跌期权的隐含波动率更高。

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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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