Crypto Option

A crypto option is an ordinary call or put: the right, but not the duty, to buy or sell bitcoin or ether at an agreed price by an agreed date. Nothing about the contract is new. What is new is the thing underneath it. Bitcoin moves three to ten times as much as a stock index does. Everything on the equity options page still applies here. The numbers are simply much bigger.

That shows up in the price of the option. A three-month bitcoin option struck at today's price can cost 10–15% of the coin's value. The same option on a stock index costs around 4–5%. Whoever sells it is paid well, and for a reason: a 20% move in a single day is a thing that happens.

The people using them look much like the people using options anywhere else. Miners are crypto's producers, so they hedge the coins they have not mined yet — buying puts to set a floor under the price, or selling calls against future production to earn income now. Funds buy protection against a crash, or take a bet where the most they can lose is the premium. And "yield" products sell options over and over again; the returns they advertise are the premiums they collect.

Market structure quirks

• Coin-denominated: on crypto-native venues, premiums and settlement are often in BTC/ETH themselves — your P&L is in a volatile unit (a put paying out in a crashing currency is worth less than it looks: build in the quanto thinking).
• European, cash-settled against an index at expiry; big quarterly expiries (last Friday) concentrate open interest and pin action.
• Venue split: offshore crypto-native exchanges hold most liquidity; CME serves regulated flow; spot-ETF options (since 2024/25) added a mainstream layer.

The vol surface's personality

• Two-sided skew: unlike equities' put-skew, crypto often prices fat call wings too — upside crashes are real here ("melt-ups"). Skew direction flips with the cycle and is itself a sentiment read.
• Vol level cycles: implied vol ranges ~35% (dead markets) to 150%+ (panics/manias); vol sellers harvest rich carry between disasters.
• Event structure: halvings, ETF decisions, macro prints — term structure kinks around known catalysts.

Structured yield products

"Covered call vaults" and dual-currency deposits industrialise option selling for retail — fine businesses at fair vol, ruinous when sold cheap into a melt-up. The premium is never free money; it is the market's estimate of what you'll occasionally pay out.

Pricing foundations

Black–Scholes with crypto conventions: no dividends, funding/borrow from perp and lending markets as the carry inputs. Coin-settled contracts are inverse options — payoffs in units of the underlying:

— mechanically a self-quanto; Greeks differ from linear-settled versions and hedges must be sized in coin terms.

Modelling the underlying

Jumps are first-order (Poisson-jump or SVJ models fit far better than diffusions); vol-of-vol is extreme; and the funding rate enters as a stochastic carry. Perp-hedged replication replaces the classic cash-and-stock hedge: delta runs through perps (cheap, 24/7), inheriting funding-rate risk into option P&L — a genuine crypto-specific hedging term.

Vol markets maturity

A full ecosystem now exists: listed vol indices (DVOL-style), variance and vol swaps OTC, dispersion between BTC/ETH/alts, and skew/kurtosis harvesting funds. Cross-asset spillover is measurable: crypto vol correlates with Nasdaq vol in risk-off, decouples in crypto-idiosyncratic events — a regime classifier in itself.

Risk warnings with numbers

Margining on crypto venues is portfolio-based but the venue itself is the counterparty (no CCP protections); wrong-way risk is maximal — the exchange is likeliest to fail exactly in the tail your options were meant to cover. Sizing rule: assume the hedge pays only when held at a venue that survives the scenario.

The formulas above are standard textbook formulations, simplified for teaching. They explain the mechanism — they are not a valuation tool, and they will not reproduce a dealer’s price.