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不忘初心 · 2024年05月10日

关于delta

NO.PZ2023091802000146

问题如下:

An analyst is doing a study on the effect on option prices of changes in the price of the underlying asset. The analyst wants to find out when the deltas of calls and puts are most sensitive to changes in the price of the underlying. Assume that the options are European and that the Black-Scholes formula holds. An increase in the price of the underlying has the largest absolute value impact on delta for?

选项:

A.

Calls deep in-the-money and puts deep out-of-the-money

B.

Deep in-the-money puts and calls

C.

Deep out-of-the-money puts and calls

D.

At-the-money puts and calls

解释:

From Figure below, the delta is most sensitive, or gamma the highest, for ATM short-term options. Under the BS model, gamma is the same for calls and puts.

Gamma


问题是绝对值最大的是吗? deep in the money 时,call and put delta绝对值靠近1,不是吗?B为什么不对,请老师解答谢谢。

1 个答案

品职答疑小助手雍 · 2024年05月10日

同学你好,哪种期权,在underlying价格变化时有the largest absolute value impact on delta。

所以问的实际上就是哪种期权的gamma最大。

而不是delta的绝对值。