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DocumentationCovered Calls

Covered-Call Scenarios

Eight terminal market scenarios and the covered call's relative behavior versus holding the stock.

#Terminal scenarios

ScenarioTerminal stateCovered-call resultVersus holding
Large declineFar below entryLarge loss, reduced only by premiumAhead by premium; still materially negative
Moderate declineBelow entryStock loss minus premium cushionAhead by premium
Flat marketNear entryPremium is the main positive componentAhead by premium
Small rise below strikeEntry < S_T < KStock gain plus premiumAhead by premium
Finish at strikeS_T = KMaximum simplified terminal value is reachedAhead by premium
Moderate rise above strikeS_T > KValue capped at K + premiumUnderperforms once rally above K exceeds premium
Large rallyFar above strikeAbsolute gain cappedMaterial opportunity cost
Extreme rallyMultiple of entryStill capped at K + premiumRelative shortfall grows with the rally

#Relative performance

Covered call − long stock = P − max(S_T − K, 0)

Below strike, relative performance is simply the premium before costs. Above strike, each additional dollar of stock appreciation reduces relative performance by one dollar. The breakeven for relative performance occurs at S_T = K + P in this simplified per-share model.

#The path still matters operationally

The table is terminal and path-independent. Before expiry, option value changes with volatility, time and rates. Early exercise, liquidity, trading halts, corporate actions and a protocol's exit mechanism can make the realized path operationally important even if the stated terminal payoff is simple.

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