Unless I am entirely misreading the spec, VIX is the square root of the fair strike of a var swap, not the fair strike itself.I don't think that's right. Vix is a fair strike of a variance swap
That is var swap fair strike vs vol swap fair strike. VIX normally trades above fair vol strike due to the expectational form of Jensen's inequality -- very much dependent on level. I took your post to be referring to the difference between VIX and vol swap strike. I admit I found the term "VIX fair strike" ambiguous as the VIX as a fair strike of anything only holds via a circular argument. So I may have misinterpreted your original post.Var swaps trade at a premium to vol swaps due to the expected convexity of the PnL,
