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zhousg1987 · 2021年03月27日

是三个月后,还是一个月后?

NO.PZ2017121101000010

问题如下:

A volatility trader observes that the VIX term structure is upward sloping. In particular, the VIX is at 13.50, the front-month futures contract trades at 14.10, and the second-month futures contract trades at 15.40. Assuming the shape of the VIX term structure will remain constant over the next three-month period, the trader decides to implement a trade that would profit from the VIX carry roll down. She will most likely purchase the:

选项:

A.

VIX and sell the VIX second- month futures.

B.

VIX and sell the VIX front- month futures.

C.

VIX front- month futures and sell the VIX second- month futures.

解释:

C is correct.

VIX futures converge to the spot VIX as expiration approaches, and the two must be equal at expiration. When the VIX futures curve is in contango and assuming volatility remains stable, the VIX futures will get “pulled” closer to the spot VIX, and they will decrease in price as they approach expiration. Traders calculate the difference between the front-month VIX futures price and the VIX as 0.60, and the spread between the front-month and the second-month futures is 1.30. Assuming that the spread declines linearly until settlement, the trader would realize roll-down gains as the spread decreases from 1.30 to 0.60 as the front-month futures approaches its expiration. At expiration, VIX futures are equal to the VIX, and the spread with the old second-month (and now the front- month) futures contract will be 0.60. Finally, since one cannot directly invest in the VIX, trades focusing on the VIX term structure must be implemented using either VIX futures or VIX options, so Answers A and B are not feasible.

应该是一个月后,一个月期的future变现货,亏14.2-13.5=0.6,两个月期future变一个月期future,赚15.4-14.1=1.3,合计赚1.3-0.6=0.7? 我想问的是一个月后而不是三个月后?
1 个答案

Hertz_品职助教 · 2021年03月27日

嗨,努力学习的PZer你好:


同学你好~

是一个月后。

选项C对应的是purchase VIX front- month futures and sell the VIX second- month futures.是说买一个月的VIX期货,卖出2个月的VIX期货。只有在一个月后看这个交易策略的收益,此时因为买入一个月的期货正好亏了0.6,买2个月的期货正好赚了1.3,合计赚了0.7嘛(你计算的很正确),但是如果我们三个月后来看这笔收益,那现在的0.7怎么也要有一个两个月的无风险利率的收益呀。

另一个角度,如果你理解的是一个月后:买的一个月的期货到期了,亏了0.6,然后这个期货合约结束了;此时卖出的2个月的期货合约变成了一个月的合约赚了1.3;然后又过了一个月,即变成了2个月后:卖出的2个月的期货合约也结束了,又赚了0.6. 这样综合起来看,不考虑再投资收益的情况下,赚了1.3。但是最多两个月后两个期货头寸都结束了,所以不存在三个月后的哈(如是其他地方有疑问,欢迎追问~)

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NO.PZ2017121101000010 问题如下 A volatility trar observes ththe VIX term structure is upwarsloping. In particular, the VIX is 13.50, the front-month futures contratras 14.10, anthe seconmonth futures contratras 15.40. Assuming the shape of the VIX term structure will remain constant over the next three-month perio the trar cis to implement a tra thwoulprofit from the VIX carry roll wn. She will most likely purchase the: A.VIX ansell the VIX secon month futures. B.VIX ansell the VIX front- month futures. C.VIX front- month futures ansell the VIX secon month futures. C is correct. VIX futures converge to the spot VIX expiration approaches, anthe two must equexpiration. When the VIX futures curve is in contango anassuming volatility remains stable, the VIX futures will get “pulle closer to the spot VIX, anthey will crease in prithey approaexpiration. Trars calculate the fferenbetween the front-month VIX futures prianthe VIX 0.60, anthe sprebetween the front-month anthe seconmonth futures is 1.30. Assuming ththe spreclines linearly until settlement, the trar woulrealize roll-wn gains the sprecreases from 1.30 to 0.60 the front-month futures approaches its expiration. expiration, VIX futures are equto the VIX, anthe sprewith the olseconmonth (annow the front- month) futures contrawill 0.60. Finally, sinone cannot rectly invest in the VIX, tras focusing on the VIX term structure must implementeusing either VIX futures or VIX options, so Answers A anB are not feasible.中文解析这里考察的是“The VIX carry roll wn”的知识点 首先我们需要注意的一点是,VIX是不能直接进行买卖的,所以A和B中说直接purchase VIX直接排除掉。(考试的时候也是,看到这种直接买卖VIX的表述,不用思考直接pass)C对应的是purchase VIX front- month futures ansell theVIX secon month futures.是说买一个月的VIX期货,卖出2个月的VIX期货。一个月后买入一个月的期货价格有14.1降到了13.5,亏了0.6。卖出的2个月的期货,由15.4降到了14.1,赚了1.3。一买一卖合计赚了0.7。所以选 这道题很奇怪,已知VIX是斜向上了,为何还要买一个月的future?为何要亏这笔钱?VIX future是怎么结算的?到期时,看签订时定好的执行价格和现货VIX的价差结算吗?

2022-08-20 09:27 1 · 回答

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