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fdzh · 2023年11月08日

这题其实真正是问gamma在什么情况下最大,而不是问delta的值什么情况下最大。

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


可否这样理解?

1 个答案

DD仔_品职助教 · 2023年11月10日

嗨,爱思考的PZer你好:


可以这么理解。

题目问的是:对于什么价值状态的option来说,基础资产价格的变化会导致delta的绝对值变化最大?

delta变化大,也就代表delta最敏感,当gamma最大的时候,delta是最敏感的,所以根据图形所示,ATM短期的option是具有这个特点的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!