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Payoffs: what you can win and lose

Lesson 2 of 9, beginner, about 2 minutes.

The fastest way to understand an option is to draw what it pays at expiry against the price of the underlying. Buy a call with a $100,000 strike for $4,000: below the strike it expires worthless and you lose the $4,000. Above the strike you make a dollar for each dollar of rise, and you break even at $104,000.

A buyer's loss is capped, a seller's isn't

A put works the other way round. It gains as the price falls below the strike, with a loss limited to the premium paid. The seller of either option has the mirror image: a small known gain and a loss that can run on, which for a naked call is unlimited.

Before expiry the option also carries time value, so its price curve sits above these lines. The diagram shows the end state.

Strike $100,000 0 +$16,000 −$4,000
A long call: lose the premium below the strike, gain above it. Strike $100,000, premium $4,000 (made-up figures).

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Check yourself

Answer all 3 to finish the lesson.

1. You buy a call with strike $100,000 for $4,000. Where is your break-even at expiry?
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$104,000. The strike plus the premium paid.

2. What is the most the buyer of an option can lose?
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The premium paid. If the option expires worthless, only the premium is gone.

3. Why is selling a naked call riskier than buying one?
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The seller's loss has no upper limit. The price can rise without limit, and the seller owes the difference.