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WINWIN8 · 2023年08月19日

找到问题来源再次提问delta put

NO.PZ2023041003000061

问题如下:

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 newpharmaceutical.

If Klein implemented Gupta’s recommendation using Option Z from Exhibit 2 and Apoth’s share price subsequently dropped to $36, Klein would most likely need to take the following action to maintain the same hedged position:

选项:

A.

Sell options because the put delta has become less negative.

B.

Sell options because the put delta has become more negative.

C.

Buy options because the put delta has become more negative.

解释:

The required number of put options = Number of shares of underlying to be hedged/[N(d1) -1], where N(d1) -1 is the estimateddelta used for hedging a position with put options (otherwise known as the put delta). As the share price drops to $36, the delta of a put positionwill decrease toward –1.0, requiring less put options than the original position.

请问助教,已知delta put=1-delta call=1-N(d1)=-N(-d1)

但为什么这道题的答案和李老师讲解视频里,都是delta put = N(d1)-1。 是为什么呢?

WINWIN8 · 2023年08月19日

你好助教 在另一个问答里 你说1-N(d1)和 N(d1)-1是一样的 可是代入这道题的话 两种做法最终数字是不同的 所以我就很迷惑 或者如你所说都是一样的 那么什么情况下该-1 或1- 来算delta put呢?

1 个答案
已采纳答案

Lucky_品职助教 · 2023年08月20日

嗨,从没放弃的小努力你好:


同学你好,不好意思之前的回答有误。下面我们来理一下delta call , delta put 和 N(d1)以及它们之间的关系

1、delta call=delta put+1

2、Delta Put = -1 + N(d1): 表示看跌期权的Delta,即当标的资产价格上涨1单位时,期权价格的变动情况。

3、Delta Call = N(d1): 表示看涨期权的Delta,即当标的资产价格上涨1单位时,期权价格的变动情况。


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