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Carolyne · 2025年07月07日

statement1

* 问题详情,请 查看题干

NO.PZ202301280100000702

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.

statement1 说delta hedge 很难维持,是说,在市面上很少有和当前价格差不多的option 匹配吗?

1 个答案

李坏_品职助教 · 2025年07月07日

嗨,努力学习的PZer你好:


因为delta实际上是一直在变化的。delta的变化率就是gamma,而平直期权的gamma恰好是最大的,所以平值期权的delta变化很剧烈,难以维持固定的delta hedge。

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