Option

Reading depth

Each view includes the earlier layers; the complete engineer or auditor page is shown by default.

BeginnerCore purpose and mental modelPractitionerAdds mechanisms and economicsEngineer or auditorAdds state and verification

Dependency check

Advanced detail assumes prerequisite knowledge

Before using practitioner mechanisms or engineer and auditor checks, review any unfamiliar dependency. These paths come from canonical depends_on relationships; Web3 Academy does not track completed lessons.

Review 5 dependencies

• AssetRequired through Asset versus claim

  1. Option
  2. Asset versus claim
  3. Asset

• ClaimRequired through Asset versus claim

  1. Option
  2. Asset versus claim
  3. Claim

• TokenRequired through Asset versus claim

  1. Option
  2. Asset versus claim
  3. Token

• Asset versus claimDirect prerequisite

  1. Option
  2. Asset versus claim

• Decentralized exchangeDirect prerequisite

  1. Option
  2. Decentralized exchange

An option gives its holder a contingent payoff or exercise right linked to an underlying price, strike, direction, size, and expiry.

Category: DerivativesDiamond category cue

System record

Start with the economic purpose, participants, resources, and entitlements before studying implementation detail.

Why it exists

Options let participants buy or sell asymmetric exposure, protection, volatility, and conditional obligations without exchanging the full underlying value at inception.

Traditional-finance analogy

Exchange-traded or over-the-counter option is the closest comparison recorded for this concept.

Where the analogy stops

• On-chain options can use tokenized positions, automated collateral, oracle settlement, or vault counterparties, each with distinct exercise and shortfall paths.
• A cash-settled token does not convey ownership or delivery rights unless the contract explicitly provides them.

Main actors

• ActorOption holder or buyer
• ActorOption writer or seller
• ActorTrading venue or issuer
• ActorCollateral provider
• ActorOracle and settlement agent
• ActorLiquidator or backstop

Assets and claims

Assets — controlled or transformed resources

Assets are resources the mechanism moves, holds, values, or transforms.

• AssetPremium
• AssetWriter collateral
• AssetSettlement asset
• AssetUnderlying asset when physically settled

Claims — entitlements and corresponding dependencies

Claims are rights to value, repayment, redemption, control, or another party's performance; each depends on an obligation or system that must honor it.

• ClaimCall or put payoff claim
• ClaimWriter settlement obligation

An option gives its holder a contingent payoff or exercise right defined by a reference price, strike, direction, size, and expiry.

Why it exists

Options separate upside and downside into asymmetric claims. A buyer can pay a premium for protection or conditional exposure, while a writer accepts a defined obligation in exchange for that premium. This supports hedging, volatility trading, structured payoffs, and conditional financing.

Traditional-finance analogy

Exchange-traded and over-the-counter options are direct analogies. On-chain options can tokenize positions and automate collateral, exercise, and settlement, but add oracle, contract, custody, liquidity, governance, and transaction-ordering dependencies. Cash-settled tokens do not convey delivery rights unless specified.

Actors, assets, and claims

The holder or buyer pays the premium and owns the option claim. The writer or seller receives the premium and owes the payoff or delivery obligation. A venue, issuer, or vault records positions; collateral providers secure writer obligations; an oracle and settlement mechanism determine the final value.

Premium, writer collateral, settlement tokens, and any deliverable underlying are assets. The call or put is the holder’s claim and the writer’s contingent liability.

Calls, puts, and contract terms

• A call benefits from settlement above the strike.
• A put benefits from settlement below the strike.
• European-style exercise occurs at expiry; American-style permits exercise during a stated window.
• Cash settlement transfers calculated value; physical settlement exchanges the underlying and strike assets.

For contract size in units of the underlying and prices in USD per unit:

callPayoffUsd
= max(settlementPriceUsdPerUnit - strikePriceUsdPerUnit, 0)
  × contractSizeUnits

putPayoffUsd
= max(strikePriceUsdPerUnit - settlementPriceUsdPerUnit, 0)
  × contractSizeUnits

These are expiry payoffs before premium, fees, collateral shortfall, settlement adjustments, and exercise-style effects. Buyer profit is not the same as payoff: the premium and costs must also be included.

Step-by-step mechanism

1. Define call or put, strike, size, expiry, exercise style, settlement asset, and price source.
2. The buyer pays a premium; the writer posts collateral or uses a stated margin model.
3. Record opposite holder and writer positions and any transferable tokens.
4. Revalue positions and enforce writer margin or liquidation rules before expiry.
5. Exercise or settle from the authorized reference state and payoff function.
6. Transfer cash or underlying, close both claims, and release valid residual collateral.

State transition and flows

Table: State transition and flows

Stage	Holder	Writer
Open	Pays premium; receives option claim	Receives premium; accepts contingent obligation
Before settlement	Can hold, trade, or exercise if permitted	Maintains collateral or margin
In the money	Receives payoff or exercise value	Pays payoff or delivers under contract terms
Out of the money	Claim expires with zero intrinsic payoff	Keeps premium, subject to prior costs and hedge

Return source and loss allocation

Capital flow is premium, collateral, fees, and settlement. Claim flow creates holder and writer positions. Information flow carries price, volatility, expiry, and oracle state. Return flow comes from writer obligations and market counterparties, not from the reference asset automatically. Risk flow reaches the holder through premium loss and the writer through potentially large or, for some calls, unbounded economic exposure. Collateral and liquidation may limit system recovery or account loss without changing the contractual payoff.

Engineer or auditor lens

Test call and put direction, zero and boundary intrinsic value, timestamp equality, exercise windows, decimals, contract size, price source, TWAP windows, cash versus physical assets, collateral release, token transfer, partial exercise, repeated settlement, expired state, and writer shortfall. Payoff, premium, PnL, and collateral must remain distinct accounting fields.

Derive’s settlement documentation shows one implementation that settles options from a spot-price TWAP and changes mark behavior near expiry. That oracle window and cash-settlement process are protocol-specific, not universal option terms. The documentation was reviewed 2026-08-10.

Common misunderstandings

• “An option buyer can lose the full notional.” A fully paid long option generally loses at most premium and costs, while writer risk follows the contract and collateral model.
• “In the money means profitable.” Payoff can be positive while remaining below premium and fees.
• “Covered means liquidation-proof.” Margin valuation, settlement windows, basis, and operational rules can still create liquidation or shortfall.

Use hedging to examine options as one part of a portfolio rather than an isolated payoff.

Machine-readable model

Key equations

Canonical expressions come from the structured concept record. KaTeX renders the notation, while the plain-text expression and variable table keep its meaning and units inspectable without JavaScript. Read the narrative above for the model's domain, assumptions, and rounding rules.

1. Equation 1

   $$\mathrm{callPayoff} = \max\left(\mathrm{settlementPrice} - \mathrm{strikePrice}, 0\right) \times \mathrm{contractSize}$$

   Plain-text equation: callPayoff = max(settlementPrice - strikePrice, 0) * contractSize

   Variables and units for equation 1

   Symbol	Meaning	Unit
   callPayoff	Call Payoff	selected settlement-asset units
   settlementPrice	Settlement Price	quote-asset units per base-asset unit
   strikePrice	Strike Price	quote-asset units per base-asset unit
   contractSize	Contract Size	underlying or reference-asset units

2. Equation 2

   $$\mathrm{putPayoff} = \max\left(\mathrm{strikePrice} - \mathrm{settlementPrice}, 0\right) \times \mathrm{contractSize}$$

   Plain-text equation: putPayoff = max(strikePrice - settlementPrice, 0) * contractSize

   Variables and units for equation 2

   Symbol	Meaning	Unit
   putPayoff	Put Payoff	selected settlement-asset units
   strikePrice	Strike Price	quote-asset units per base-asset unit
   settlementPrice	Settlement Price	quote-asset units per base-asset unit
   contractSize	Contract Size	underlying or reference-asset units

Assurance contract

Security properties

These structured statements define desired behavior. Their stable IDs can bind tests, invariants, specifications, audit findings, or proof results without turning descriptive review advice into an assurance claim.

Desired · not evaluated: No test, audit, or proof result is implied until scoped evidence is linked to this property.

1. SP-01Desired · not evaluated

   Direction, strike, size, expiry, exercise style, settlement price, asset, and rounding are explicit

2. SP-02Desired · not evaluated

   Payoff cannot be exercised or settled twice

3. SP-03Desired · not evaluated

   Writer collateral and loss allocation cover each bounded obligation or explicitly expose open-ended payoff and shortfall risk under the selected model

4. SP-04Desired · not evaluated

   Expired, exercised, transferred, liquidated, and cash or physical settlement states are mutually consistent

Prerequisites

Direct dependencies recorded by this concept's canonicaldepends_on relationships.

• Asset versus claimPath 4

  The asset-versus-claim distinction asks whether a token is the resource itself or a right whose value depends on another asset or obligor.

• Decentralized exchangePath 20

  A decentralized exchange is a protocol that coordinates token trades through blockchain transactions rather than a single custodial exchange ledger.

Learn next

Concepts that directly depend on this one, ranked by the recommended learning path. Check each page for additional prerequisites.

• HedgingPath 35

  Hedging adds an offsetting position intended to reduce a specified risk while introducing basis, cost, execution, counterparty, and management risks.

Knowledge check

Quiz

Answer in your own words, then open the model answer.

What problem does Option exist to address?

Model answer

Options let participants buy or sell asymmetric exposure, protection, volatility, and conditional obligations without exchanging the full underlying value at inception.

Mark as understood