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SiriChing10 · 2023年10月04日

No.PZ2023041003000056 (选择题)

NO.PZ2023041003000056

问题如下:

Toye asks Malarkey to provide insight on the relationship between the price of a Lipton call option and the underlying stock. Malarkey states that for any equity call option, delta will be approximately 1.0 and gamma will tend to be large whenever the option is in the money as it nears maturity.

Are Malarkey’s explanations of delta and gamma for in-the-money call options most likely correct?

选项:

A.

No, he is incorrect about the gamma measure

B.

No, he is incorrect about the delta measure

C.

Yes

解释:

Gamma is a measure of the sensitivity of delta to a change in the stock price. Gamma is largest for options that are at the money near maturity because of the uncertainty about whether the option will expire (1) in the money (delta is 1.0) or (2) out of the money (delta is 0.0).

这题有关delta的结论我明白,有关gemma的部分不理解

1 个答案

李坏_品职助教 · 2023年10月04日

嗨,努力学习的PZer你好:


gamma就是期权价格对于delta的一阶偏导数,也就是delta对于股票价格变动的敏感度。


对于平值、临近到期日的期权,由于股票价格随时上下跳动,期权在虚值、实值之间来回切换,此时delta变动最为敏感。

比如某个期权还剩最后一天就到期了,此时期权是平值期权,股票价格接近行权价格。随着股价的变化,期权在到期日要么一下子变成delta为1(实值期权,行权),要么是delta最终归零(虚值期权),delta在极短的时间内变动剧烈,正好符合large gamma的定义

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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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