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toffee · 2023年05月21日

为啥

* 问题详情,请 查看题干

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.

请问?为啥 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?

为啥一份合约 对应100份股票?

2 个答案

pzqa31 · 2023年05月23日

嗨,从没放弃的小努力你好:


一般情况下,1份期权对应100份标的股票,但也不是绝对的。

还有一些题目一份期权就对应一份股票,而且实际上对应多少份也不一定,例如50ETF期权对应的标的份数是10000份。

所以还是看题目具体的说明,有些题目因为不是严格的考题,给的信息不是很全,根据他的答案默认是一份期权对应100份标的股票的,考试题一般还是比较严谨的。

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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!

pzqa31 · 2023年05月22日

嗨,努力学习的PZer你好:


这道题是说Patel 做空了500股A公司的股票。现在要对这个头寸用option做hedge。所以我们用到的call和put对应的也是500份的。

根据题干信息:Navarro建议Patel买5份的call option,一般一份期权合约对应的标的物是100股股票,可以理解为一份期权合约(one contract)对应100份option,而一份option对应1只标的股票。因为我们要hedge的是做空的500只股票,所以解析中计算call 和put 的delta的时候要乘以500。

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加油吧,让我们一起遇见更好的自己!

toffee · 2023年05月23日

一份期权合约对应100个option?一份期权合约对应一个equity,那5份不就是5个?

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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。

2024-02-01 17:07 1 · 回答

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. B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也没看懂,能帮忙详细下吗?

2022-12-04 21:05 2 · 回答