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白泽 · 2024年05月05日

跟自己比,gamma随时间变大没毛病啊

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).

No.PZ2023041003000056 (选择题)

来源: 经典题

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?

您的回答B, 正确答案是: A

A

No, he is incorrect about the gamma measure

B

不正确No, he is incorrect about the delta measure

C

Yes


in the money, time to expiration 变短的时候,convexity会变大啊,跟自己比,gamma随时间变大没毛病啊。我感觉并不是在说in the money gamma最大

1 个答案
已采纳答案

李坏_品职助教 · 2024年05月05日

嗨,从没放弃的小努力你好:


“gamma will tend to be large whenever the option is in the money as it nears maturity.”

这句话翻译过来意思是:只要期权是in the money,随着到期日的临近,gamma会很大。这里没有说“变大”,他的重点是在in the money的时候gamma会很大。

根据讲义里的说法,这句话有问题。

如果期权是深度实值(deep in the money),那么gamma是接近于0的最低点(看划红线的部分)。所以不能说“be large whenever the option is in the money”



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