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Analytics Notes

These notes explain the math behind the dashboard in plain language. Read them in order for the full flow, or jump to the topic behind a specific card.

# Topic Covers
1 Options and forward pricing Payoffs, Black-76, and Deribit's inverse premium convention.
2 Implied volatility IV inversion, Brent's method, and Deribit validation.
3 Greeks Delta, gamma, vega, theta, and units under inverse quoting.
4 Realized vs implied volatility RV estimators and the IV-RV spread.
5 Carry, basis, and funding Dated-futures carry and perpetual funding.
6 Skew, surface, and signals Smile interpolation, term structure, and headline regime scores.

Notation

Symbol Meaning
$S$ Spot price
$F$ Forward or futures mark price
$K$ Strike
$T$ Time to expiry in years
$\sigma$ Annualized volatility
$\Phi, \varphi$ Standard normal CDF and PDF

Crypto trades continuously, so annualization uses 365 days unless noted.