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12) If lots of smart quants knew that the S&P was expected to go up 0.012% in the next day, they could... well they couldn't really do all that much. _maybe_ they could pay 0.003% to borrow USD and buy $100m of S&P, moving it 0.012%, making 0.0045% on the average buy, or $4.5k.
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13) Could an inefficiency of $4.5k per day for wall st last? Yup! No real reason to think the industry would compete it away to that precision.
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14) Ok, so we know momentum can't be 80% day-to-day for S&P, and it *could* be 1.2% (or -1.2%--maybe there's mean reversion, who knows!). 3% beta D2D is more iffy: a 0.03% price prediction is actionable on the S&P! So that's roughly the cutoff. ....How about crypto?
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15) Lots of people seem to believe in momentum in crypto. What is a "bull market" if not the expectation that positive returns yesterday predict positive returns today?
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16) How bullish could the market really be? Well, BTC moves about 3%/day. (D2D) beta of 1 --> 3% price predictions; beta of 1% --> 0.03% predictions. What's plausible?
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17) If the beta were 10, then you'd expect BTC to go down 24% tomorrow, and everyone would short the shit out of it. So that's not plausible. How do we find the line here?
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18) Well, how expensive is it to trade crypto? Getting 100% long is close to free. But sure, lots of people already are 100% long. How about 200%? That varies! But during "bull markets", USD borrows often trade at ~100% interest annualized, or 0.30%/day. Same with perps.
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19) So, if predicted price increases were 1%/day, you could make money getting margin long. If they were 0.10% per day, you might not be able to. The breakeven is around 0.30%/day. With ~3%/day vol, that means 10% D2D beta: if BTC is up 1% today you'd expect 0.10% tomorrow.
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20) To be clear that doesn't mean there *is* momentum. But there could be! There could be up to ~10% daily momentum (or mean reversion!) in BTC without implying everyone should be leveraged long.
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21) How about annual? Annual BTC vol ~50%. But interest rates are often > 50%, so even betas above 1 are possible from last year --> this year during bull markets!
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Replying to
23) Well maybe everyone is crazy! But if they move ~5%/day and borrow rates/perps are often 0.30%/day, you could imagine a D2D beta of up to ~0.2 or so without being too crazy. Which would mean if they were up 3% yesterday, you could have a model predict + (or -!) 0.6% today.
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24) And again--this isn't to say momentum *does* exist. Instead maybe things mean revert, or maybe there isn't any of either! But day-to-day betas of up to +-0.1 in BTC and +-0.2 in alts aren't out of the question. (Fixed typo from 1 --> 0.1)
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