guide
Crypto Options: Calls & Puts
Understand crypto option payoffs at expiry, premiums, exercise and settlement, Greeks, strategy arithmetic and contract-specific risks.
Calls vs Puts
Here, S is the asset's settlement price at expiry, K the strike and P the premium. The formulas describe one fully paid unit of a linear option, with all amounts in the same currency and S nonnegative, before transaction fees, financing and taxes. Contract multipliers scale the amounts. Inverse contracts need their own denomination and settlement calculation.
Call Option Bullish ↑
Net result at expiry = max(S − K, 0) − P. The option loses P when S ≤ K, breaks even at K + P, and profits above that level. Its upside has no finite upper bound in this model. Before expiry, resale value also depends on remaining time, implied volatility and other pricing inputs.
Put Option Bearish ↓
Net result at expiry = max(K − S, 0) − P. The option loses P when S ≥ K and breaks even at K − P if that price is nonnegative. Its highest net result is K − P when S = 0. A falling asset price alone does not establish a net profit.
Calls vs Puts Comparison
| Aspect | Call Option | Put Option |
|---|---|---|
| Underlying-price exposure | Generally positive for a purchased vanilla call | Generally negative for a purchased vanilla put |
| Right to | Buy at the strike, or receive the defined cash settlement | Sell at the strike, or receive the defined cash settlement |
| Positive intrinsic value at expiry | S > K; net profit still requires covering P and costs | S < K; net profit still requires covering P and costs |
| Fully paid buyer's option loss | At most P, plus costs; other account positions have separate risks | At most P, plus costs; other account positions have separate risks |
| Uncovered seller's expiry exposure | No finite loss limit as S rises | Large loss as S falls; bounded by the zero-price endpoint in this linear model |
Read the Contract Before Calculating a Result
Identify the position and units
Distinguish buying an option from writing one. Check the underlying asset, number of contracts, contract multiplier and currencies used for premium, collateral and settlement.
Identify the strike and benchmark
The strike sets the exercise price. The settlement benchmark may be an index or an average over a specified window, rather than the last traded spot price.
Check exercise and expiry rules
European-style options may be exercised only at expiry; American-style contracts permit earlier exercise under their terms. Automatic exercise, minimum thresholds and instruction deadlines vary. Trading out of a position is different from exercising it.
Account for premium and costs
A purchased option's premium must be included in net profit or loss. Also check trading, exercise and settlement fees, bid–ask spread, financing and tax treatment. A seller's premium receipt does not remove the liability.
Calculate the expiry result
Use the contract's settlement price and payoff formula, then subtract premium and costs. An in-the-money option can still produce a net loss. Out-of-the-money vanilla options have zero intrinsic value at expiry, subject to the contract's settlement rules.
Check delivery and account risk
Physical exercise can create or dispose of an asset position; cash-settled contracts follow their specified delivery process. Margin, collateral-price changes and other portfolio positions can create risks beyond the standalone option. Verify the actual contract and account rules.
Option Pricing & The Greeks
Denomination matters: Deribit's inverse BTC/ETH contracts use the underlying coin for premiums and settlement, while Bybit's current linear-option introduction identifies USDT. Do not insert coin-denominated premiums directly into a fixed-currency linear payoff formula. Contract terms and settlement benchmarks take priority over a general example.
| Greek | Measures | Unit and interpretation |
|---|---|---|
| Delta (Δ) | Local sensitivity to the underlying price | Estimated option-price change for a one-unit increase in the underlying price, using the contract's quote units |
| Gamma (Γ) | Local change in delta | Estimated change in delta for a one-unit increase in the underlying price |
| Theta (Θ) | Local sensitivity to time passing | Signed estimated price change as one day passes under the stated convention; not a fixed daily loss |
| Vega (ν) | Local sensitivity to implied volatility | Estimated price change for a one-percentage-point increase in implied volatility |
| Rho (ρ) | Local sensitivity to the interest-rate input | Estimated price change for a one-percentage-point increase in the model's interest-rate input |
Common Options Strategies
1. Protective Put
Buy 1 BTC for $70,000 and a put with a $65,000 strike for $2,000. If the settlement price is $55,000, the put pays $10,000 and the combined result is $55,000 + $10,000 − $70,000 − $2,000 = −$7,000. The combined maximum loss is $7,000 and break-even is $72,000. Above the strike at expiry the put has no intrinsic value; its resale value before expiry is a separate question.
2. Covered Call
Buy 1 BTC for $70,000 and sell a call on the same unit with a $75,000 strike, receiving $1,500. At expiry at or above $75,000, the combined net gain is capped at $6,500, not $76,500; the latter is the combined terminal value plus premium before deducting the asset acquisition cost. The asset still has substantial downside: at a zero settlement price, the combined loss is $68,500. The venue must recognize the intended coverage and account structure.
3. Long Straddle
Buy a call and a put with the same $70,000 strike and expiry for $4,000 total premium. At expiry the break-even prices are $66,000 and $74,000. Between them the position loses money, with a $4,000 maximum loss at the strike. A move through either level before expiry does not by itself establish a realized profit; both options' resale prices and execution costs matter.
4. Bull Call Spread
Buy a $70,000-strike call for $3,000 and sell a $75,000-strike call for $1,500, with matching units, expiry and settlement. Net premium is $1,500. At expiry the maximum loss is $1,500, break-even is $71,500, and maximum gain is $3,500 at or above $75,000. These combined expiry bounds do not guarantee that account margin rules will let both legs remain open.
Risk Profiles
| Position | Max Loss | Max Gain | What to check |
|---|---|---|---|
| Buy Call | Premium paid | Unlimited | Premium can be lost entirely; exercise may create another position |
| Buy Put | Premium paid | Strike Price − Premium | Premium can be lost entirely; denomination and settlement matter |
| Write an uncovered call | Unlimited | Premium received | Unbounded model loss, collateral requirements and forced closure |
| Write an uncovered put | Strike Price − Premium | Premium received | Large downside liability, collateral requirements and forced closure |
| Straddle (buy) | Two premiums | Unlimited | At expiry, break-even is the strike plus or minus the total premium |
Crypto Options Landscape
Bybit
Bybit's current introduction describes European-style options with USDT margin and settlement. Check the relevant entity's contract size, settlement benchmark, fees, eligibility and account margin rules.
Options vs Futures
| Feature | Options | Futures |
|---|---|---|
| Contract exposure | Buyer holds a right; writer takes the corresponding obligation | The position has obligations under the futures settlement terms |
| Loss limits | Fully paid standalone buyer: premium plus costs; writers can have much larger losses | Depend on direction and contract; losses can exceed initial margin |
| Initial payment or collateral | Buyer pays a premium; writers generally need collateral | Margin/collateral |
| Risks to model | Price, time, volatility, denomination and contract rules | Price, margin, settlement and, for perpetuals, funding |
| Volatility exposure | A large move does not guarantee profit after premium and costs | Moves affect gains and losses according to position direction and any hedges |
| Leverage | Nonlinear exposure that changes with delta and option value | Notional exposure relative to collateral |
| Typical uses | Hedging or speculation; suitability depends on the contract and investor | Hedging or speculation; suitability depends on the contract and investor |
Frequently Asked Questions
What is a crypto option?
What is the difference between a call and a put option?
Can I lose more than my premium when buying options?
What is implied volatility in crypto options?
What does 'in the money' mean?
Are crypto options regulated?
Derivatives & Leveraged Products — Important Risk Warning
Derivatives and leveraged products are complex and carry a high risk of rapid, substantial losses. Depending on the product and account rules, losses can exceed the initial margin or money committed. A stand-alone purchased option can lose its entire premium plus transaction costs; writing options, exercising into another position, or combining positions can create additional obligations. An uncovered call writer can face unlimited loss. Applicable legal protections can affect the loss boundary.
You should carefully consider whether you understand how derivatives work and whether you can afford to take the high risk of losing your money. This content is for educational purposes only and does not constitute financial advice, investment advice, or a recommendation to trade derivatives.
Legal availability and regulatory protections depend on the product, service, provider and jurisdiction. In the EU, check the applicable investment-services rules, including MiFID II where relevant, and any product restrictions. Before trading, verify with the relevant regulator whether the provider has the permissions required for the service and whether the product may be offered to you. A website being accessible, or a product appearing on this website, does not establish authorization or eligibility.
Continue Learning
Get Started with Kraken
Sign up in minutes and get started with Kraken — a regulated exchange operating since 2011, with deep liquidity and low fees.
Visit KrakenAd · Digital asset prices are subject to high market risk and price volatility. Don't invest unless you're prepared to lose all the money you invest. Terms & risk disclosure
This page contains affiliate links. We may earn a commission if you sign up, at no extra cost to you.