I thought about power perpetuals a bit more and I really like the design. If price of the underlying goes S to S’ and back to S, price of the power perp also round-trips (unlike a leveraged token, which has a lower price in this scenario because it rebalances to higher leverage)
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I think you could go further — the higher order power perps depend on R^3, R^4 etc and I haven’t bothered to do the math but I’m pretty sure you could get an implied skewness/kurtosis from their traded prices which gives you most of a vol surface.
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It’s be cool if an exchange listed these and they became popular, it seems like a much more straightforward way to get leverage and volatility exposure than options.
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Someone should definitely list these because I can almost guarantee they will trade at negative implied vols in a big selloff and it will be really fun to come in and scoop them up cheap vs a 2x short in perpetuals.
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This is big, imo. This is how you make something like VIX oracle, on chain. This derived iv is a strong candidate for a single iv oracle for ETH cuz it implicitly is priced using vols from infinite options, with infinite different strike prices and infinite different maturities
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