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胖丁 · 2022年12月04日

B选项中put也是long vega 吧

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NO.PZ202208100100000102

问题如下:

With respect to Company A, which of Navarro’s statements to Patel is most likely correct?

选项:

A.Statement 1 B.Statement 2 C.Statement 3

解释:

Solution

B is correct. Statement 2 is correct. The short stock/long call position is long vega and will benefit from increased volatility, whereas the short stock/short put position is short vega and will benefit from reduced volatility. Statement 1 is incorrect. The delta of her short position is –500. The call delta is 500 × 0.439 = 219.5. The delta of the combined position is –280.5. The short put delta is 0.199.5 = 500 × –(–0.399). The delta of the combined position is –300.5. Thus, both positions are bearish, but the put delta position is more bearish. Statement 3 is incorrect. The theta of the short stock/long call position is negative and is exposed to time decay. The theta for the short stock/short put position is positive [= –(–0.028)] and benefits from time decay.

A is incorrect. Statement 1 is incorrect. The delta of her short position is –500. The call delta is 500 × 0.439 = 219.5. So, the stock + call position delta is –280.5. The short put delta is 500 × –(–0.399) = 199. So, the stock + short put position delta is –300.5. Thus, while both positions are bearish, the stock + short put delta position is more bearish.

C is incorrect. Statement 3 is incorrect. The theta of the short stock/long call position is negative and is exposed to time decay. The theta for the short stock/short put position is positive [= –(–0.028) and benefits from time decay.

B选项中put也是long vega 吧,因为 所有的option 都是赌波动率的上升,call 和put vega应该都是正的呀


老师其他几个选项也没看懂,能帮忙详细解释下吗?

2 个答案
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Hertz_品职助教 · 2022年12月05日

嗨,从没放弃的小努力你好:


同学你好

本题考察的是希腊字母delta,vega和theta. 然后我把这是三个表述都详细的解释一下哈:


表述1:该表述讨论的是关于delta的内容。

Short 500份的stock,其delta=-500*1= -500;long 5份的call,其delta = 5*100*0.439=219.5;short 5份的put,其delta = - 5*100*(-0.399)=199.5.(这里可以理解一份期权对应100份股票,所以在计算期权的delta的时候,要用合约的份数先乘以100再乘以期权的delta值)。

Short stock和long call构成的头寸其delta等于-500+219.5 = -280.5;short stock和short put构成的头寸,其delta等于-500+199.5 = -300.5.

Delta为负数,说明当标的资产价格上涨的时候,整个策略是亏钱的,因此是bearish的,且delta负数的绝对值越大,对市场更加是bearish。所以该表述错误。

表述2:该表述讨论的是关于vega的内容。

Vega衡量的是volatility对期权价格的影响。现货头寸没有vega;买期权就是在买入vega,即看涨波动率;而卖期权就是在卖出vega,即看跌波动率。

因此Short stock和long call构成的头寸是在看涨波动率,在波动率上涨时获利;而short stock和short put构成的头寸是在看跌波动率,在波动率下降时获利。该表述正确。

表述3:该表述讨论的是关于theta的内容。

Theta衡量的是逝去的时间对期权价格的影响,又叫做time decay。Theta为负数,说明逝去的时间越长,期权越不值钱。

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努力的时光都是限量版,加油!

Hertz_品职助教 · 2022年12月06日

嗨,爱思考的PZer你好:


同学你好

是short put哈,题干中有一句话说到了这一点,原文是“she notes that Patel write five June 115 put contracts.”

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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NO.PZ202208100100000102 问题如下 With respeto Company whiof Navarro’s statements to Patel is most likely correct? A.Statement 1 B.Statement 2 C.Statement 3 SolutionB is correct. Statement 2 is correct. The short stock/long call position is long vega anwill benefit from increasevolatility, wherethe short stock/short put position is short vega anwill benefit from recevolatility. Statement 1 is incorrect. The lta of her short position is –500. The call lta is 500 × 0.439 = 219.5. The lta of the combineposition is –280.5. The short put lta is 0.199.5 = 500 × –(–0.399). The lta of the combineposition is –300.5. Thus, both positions are bearish, but the put lta position is more bearish. Statement 3 is incorrect. The theta of the short stock/long call position is negative anis exposeto time cay. The theta for the short stock/short put position is positive [= –(–0.028)] anbenefits from time cay.A is incorrect. Statement 1 is incorrect. The lta of her short position is –500. The call lta is 500 × 0.439 = 219.5. So, the sto+ call position lta is –280.5. The short put lta is 500 × –(–0.399) = 199. So, the sto+ short put position lta is –300.5. Thus, while both positions are bearish, the sto+ short put lta position is more bearish.C is incorrect. Statement 3 is incorrect. The theta of the short stock/long call position is negative anis exposeto time cay. The theta for the short stock/short put position is positive [= –(–0.028) anbenefits from time cay. Q1.为什么一份合约就对应100个股票?哪里学过,我怎么一点也没有印象?Q2.sto的lta 默认是1?lta的定义是底层资产价格变化对期权价格变化的影响,但是如果单纯交易stock,并不涉及期权啊Q3.theta 的定义是时间流逝对期权价格的影响,因为stock不涉及期权,所以 theta 是不是0?The theta for the short stock/short put position应该是 0 –(–0.028) =0.028?Q4.为什么当theta 为负数,时间流逝越多,期权越不值钱(何老师课上说的)?怎么通过theta=change in priof option/change in time理解,我感觉分子分母方向正反变化有点乱,很难,请老师解答一下。

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2023-05-21 08:39 2 · 回答