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monicaaaaa · 2024年07月27日

nd1

NO.PZ2023041003000060

问题如下:

She decides that it would be prudent to temporarily hedge the 100,000 shares of Apoth she owns until the outcome of the FDA’s review is complete.

“The best strategy to hedge your shares in Apoth would be to buy 6-month European put options to protect from a loss if the FDA rejects Apoth’s new pharmaceutical.”

Using the data from Exhibit 2, the number of option X contracts that Klein would have to sell to implement the hedge strategy would be closest to:

选项:

A.

30,000.

B.

333,333

C.

476,190.

解释:

The required number of call options to sell = Number of shares of underlying to be hedged/N(d1), where N(d1) is the estimated delta used for hedging a position with call options. There are 100,000 shares to be hedged and the N(d1) for Option X from Exhibit 2is 0.30. Thus, the required number of call options to sell is 100,000/0.30 = 333,333.

为什么option的delta是nd1呢

1 个答案

李坏_品职助教 · 2024年07月27日

嗨,爱思考的PZer你好:


delta就是期权价格C0相对于股票价格S0求的一阶偏导数,所谓偏导数也就是假设其他变量都是常数。


根据BSM期权定价模型:



d C0 / d S0 = N(d1)

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努力的时光都是限量版,加油!

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