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410140980 · 2022年11月03日

题干的解读

NO.PZ2016070202000027

问题如下:

A non-dividend-paying stock has a current price of $100 per share. You have just sold a six-month European call option contract on 100 shares of this stock at a strike price of $101 per share. You want to implement a dynamic delta-hedging scheme to hedge the risk of having sold the option. The option has a delta of 0.50. You believe that delta would fall to 0.44 if the stock price falls to $99 per share. Identify what action you should take now (i.e., when you have just written the option contract) to make your position delta- neutral. After the option is written, if the stock price falls to $99 per share, identify what action should be taken at that time (i.e., later) to rebalance your delta-hedged position.

选项:

A.

Now: buy 50 shares of stock; later: buy 6 shares of stock.

B.

Now: buy 50 shares of stock; later: sell 6 shares of stock.

C.

Now: sell 50 shares of stock; later: buy 6 shares of stock.

D.

Now: sell 50 shares of stock; later: sell 6 shares of stock.

解释:

The answer is B.

The dynamic hedge should replicate a long position in the call. Due to the positive delta, this implies a long position of Δ×100=50 shares. If the delta falls, the position needs to be adjusted by selling   (0.50.44)×100=6\;{(0.5-0.44)}\times100=6 shares.

you have just sold a six month European call option contract on 100 shares of this stock at a strike price of 101per share。 这句话到底是说现在是卖100份期权还是卖100份股票啊

2 个答案

李坏_品职助教 · 2022年11月04日

嗨,从没放弃的小努力你好:


这里是表示一份期权合约的标的物是100股的股票,并且执行价格是每一股是101$

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

李坏_品职助教 · 2022年11月03日

嗨,努力学习的PZer你好:


这句话的意思是:你现在卖掉了一份为期6个月的欧式看涨期权,这个期权合约的标的物是100股股票,行权价格是101$。所以卖的是期权,这份期权的标的物是100股股票。

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加油吧,让我们一起遇见更好的自己!

410140980 · 2022年11月04日

老师在和您确认一下这里是表示一份期权合约的标的物是100股的股票,并且执行价格是每一股是100$,对吧

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2024-03-04 01:14 1 · 回答

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