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Christiandudu · 2024年01月18日

例题中的疑问

Which trade is Tryon most likely to implement to establish his equity market hedge?

您的回答C, 正确答案是: C

A

Trade 1

B

Trade 2

C


解析

Solution

C is correct. Variance swaps have a valuable convexity feature—as realized volatility increases (decreases), the positive (negative) swap payoffs increase (decrease)—which makes them particularly attractive for hedging long equity portfolios. Because the volatility curve is in contango—that is, higher volatility is priced into the curve—Trade 1 is likely to experience roll-down losses as the futures price converges or is “pulled down” to the spot price. Trade 2 would benefit from a decrease rather than an increase in volatility; an alternative trade in the options space would be to buy call options to hedge the portfolio.

A is incorrect. Trade 1 is likely to experience roll-down losses as the futures price converges or is “pulled down” to the spot price.

B is incorrect. VIX put options would be bought to profit from an expectation that volatility will decrease because of stable equity market conditions.

中文解析:

本题考察的是VIX futures,VIX options和variance swap。

A选项,题干中说到VIX futures curve是contango的,即远月的合约价格是高于近月合约的,因此如果像trade 1中描述的买远月的合约,随着到期日的临近,合约价格下跌,会有损失,所以该交易不合适。

B选项,也是因为VIX futures curve是contango的,即意味着将来波动率是预测上升的,因此也应该long VIX call options,而不应该是sell VIX put option,B不对。

C选项,long variance swap,即看涨波动率是合适的。关于vega notional的金额,因为vega notional表示的含义为:The vega notional represents the average profit and loss of the variance swap for a 1% change in volatility from the strike,即是一个平均收益或者损失的概念,所以trade 3中后半段的表述也是没有问题的。




这里有个疑问:

单看解释A能够明白,若contango, 且波动率曲线不变的话,应该是short 不应该是long

单看解释B也能明白,未来波动率上升,应该long call on VIX futures


但是联系起来就不明白了,congtango情况下一个是short futures, 一个是long call, 这不矛盾吗?

1 个答案

pzqa31 · 2024年01月18日

嗨,努力学习的PZer你好:


这里不同于我们平时遇到的标的是股票的这种option。 这里的option是VIX options,它的标的资产是VIX futures,但是真正的标的其实是VIX,或者再直接一点说就是volatility。


VIX是芝加哥期货交易所推出的波动率指数,又叫做恐慌指数,不能直接买卖。所以才有了一层层的嵌套,这个option的标的虽然是VIX futures,但在理解的时候就直接把它当做标的是波动率本身就可以。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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