In this example you lose 0.1 = (23-20)/30 of a VIX point every day, assuming that the term structure doesn't change. This is called *rolldown* and it's necessary to understand it if you want to trade VIX futures.
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I won't comment specifically on VIX but proper attribution of spot and roll returns is important for any future whether backwardated or contangoed This will help https://www.cmegroup.com/education/files/deconstructing-futures-returns-the-role-of-roll-yield.pdf&ved=2ahUKEwjJgo2El5DvAhXWo54KHbwNBsoQFjAAegQIAhAC&usg=AOvVaw2CPA7iFGMSgRibAHRSNxbj …
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The posted link doesn't work for me ... this one is working : https://www.cmegroup.com/education/files/deconstructing-futures-returns-the-role-of-roll-yield.pdf …
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the only educational thing i have to offer is that the implied of volatility of an index, like vix is a scalar representation of a surface and trading it requires considering the multiple dimensions involved
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an example of this is that VIX is not a measure of volatility of the stocks in the S&P 500, its a measure of the IV of the index. that means any correlation or dispersion is already internalized in the measure. this part often bites people who want to be short & collect vega roll
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My dumb first-level thinking on this is that if what you're concerned about is an equity crash then SPX puts are a better match. Other than that I don't know enough to have an opinion.
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I appreciate not being included among the vol nerds here. I saw your formulas and couldn't run away fast enough.


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this was so far beyond me, my pay grade, and my capacities that I couldn’t even begin to pretend I understood any of it
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One day I will be up here, although I did only learn a few weeks back that VIX options surprisingly also don't track spot VIX, so perhaps not.
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Although it makes sense intuitively, because you can't really hedge and therefore rationally price the spot VIX.
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