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Covered-call and protective-put payoff choices

A written call caps the stock combination’s terminal value, while a purchased put creates a floor under the matching-unit assumptions.

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Use the original records

Covered case: stock cost 100, short 110 call premium received 4. Protective case: stock cost 100, long 90 put premium paid 3. Both use one underlying unit, one expiry, no stock income and unfinanced simple profit.

Compare terminal functions and costs

Original stock-option comparison
FeatureCovered caseProtective case
Terminal valuemin(S,110)max(S,90)
Net initial cost96103
Simple lower outcome−96 at S=0−13 below S=90
Simple upper behaviorCapped at 14Grows with S above strike

Keep the comparison educational

The two functions alter different regions and have different premium cash flows. One is not a universal substitute for the other. Actual objectives, contract terms, income, costs and risk constraints would be needed for a decision.

Avoid a generic insurance or income promise

The floor and cap are terminal algebra under these specific legs. They do not remove every interim price, assignment or liquidity concern. Report the modeled outcome instead of an unqualified low-risk label.

Further references