Implied volatility, volatility smiles, and option pricing
Implied volatility, volatility smiles, and option pricing
Implied volatility is the market's forecast of how much an asset will move, extracted from the prices people are actually paying for options on it. It's the single most important input in option pricing, and unlike most inputs, it isn't observed directly, it's backed out of prices, which makes it as much a measure of fear and demand as of statistics.
How it works
An option's price depends on a handful of inputs: the current asset price, the strike price, the time to expiry, interest rates, and volatility. All of those except volatility are directly observable. So option pricing runs in reverse: given the price the market is paying for an option, and all the other known inputs, you solve for the volatility that makes the pricing model produce that price. That solved-for number is the implied volatility, the volatility the market's prices imply.
Higher implied volatility means more expensive options, because a wider expected range of outcomes makes the option more likely to finish in the money. This is why option prices spike during periods of fear even when the underlying asset hasn't moved yet: buyers bid up options as insurance, that demand raises prices, and higher prices mean higher implied volatility. Implied volatility is forward-looking sentiment as much as it is a statistical estimate.
The volatility smile is what you see when you plot implied volatility across different strike prices for the same expiry. Simple theory predicts a flat line, the same volatility regardless of strike. Real markets produce a curve, often a smile or a skew, where out-of-the-money options (especially downside puts) carry higher implied volatility than at-the-money ones. The smile exists because real asset returns have fatter tails than the simplest models assume, and because demand for downside protection is structurally higher than demand for upside, so the market prices crash insurance at a premium.
Why it matters
For anyone hedging with options, implied volatility is the price of the insurance, and understanding it is the difference between buying protection cheaply and overpaying. A hedger who buys puts when implied volatility is already elevated is paying a fear premium; one who hedges before volatility spikes locks in cheaper protection. The volatility surface, the full map of implied volatility across strikes and expiries, is the pricing landscape any serious hedging program has to navigate.
The smile also carries information. A steepening downside skew, downside puts getting relatively more expensive, is the market pricing in rising crash risk, often before that risk shows up in the spot price itself. Reading the volatility surface is reading the market's own probability assessment of tail events.
Where this shows up in Rekord
Implied volatility and the shape of the volatility surface directly determine the cost of the option hedges Rekord uses to protect crypto-collateral exposure. For how those hedges are actually priced and structured, see How institutional lenders price option hedges: SVI, SABR, Vanna-Volga, PCHIP.