Option payoff diagrams — the picture you can't unsee

The picture you can't unsee

Option payoffs at expiration are best understood as diagrams. Plot the underlying's price (S) on the x-axis and the option's payoff on the y-axis. The shapes that come out are simple, characteristic, and once you've seen them, every option strategy becomes a combination of these basic shapes.

Four building blocks:

1. Long call

Buy a call with strike K for premium p. At expiration:

• If S < K: option worthless. You lose p.
• If S > K: profit = S − K − p (linear, increasing).

The diagram looks like a hockey stick — flat at −p below strike, then sloping up at 45° above strike. Maximum loss: the premium you paid. Maximum gain: theoretically unlimited.

2. Long put

Buy a put with strike K for premium p. At expiration:

• If S > K: option worthless. You lose p.
• If S < K: profit = K − S − p (linear, increasing as stock falls).

Mirror image of the long call. Hockey stick flipped: sloping down to the left of strike, flat to the right. Maximum loss: premium. Maximum gain: K − p (if stock goes to zero).

3. Short call (writing a call)

Sell a call you don't own. Collect premium p. At expiration:

• If S < K: keep the full premium p.
• If S > K: you owe S − K. Your net = p − (S − K).

Inverted hockey stick. Maximum gain: p (the premium). Maximum loss: theoretically unlimited if the stock keeps rising. This is why naked call selling is dangerous.

4. Short put (writing a put)

Sell a put. Collect premium. At expiration:

• If S > K: keep p.
• If S < K: you owe K − S. Net = p − (K − S).

Mirror of short call. Maximum gain: premium. Maximum loss: K − p (if stock goes to zero). Capped, but can be very large for high-strike puts.

Combining the building blocks — strategies

Once you see the four basic shapes, you can build any options strategy as a combination:

• Bull spread: long call at low strike + short call at higher strike. Bullish bet, capped both ways.
• Straddle: long call + long put at same strike. Bet on big move, either direction.
• Iron condor: short put spread + short call spread. Bet on no big move (collect premium if price stays in a range).
• Covered call: long stock + short call. Generate income, cap upside.
• Protective put: long stock + long put. Insurance against a drop.

Each strategy has a payoff diagram that's just an addition of the basic shapes. The picture is the strategy.

The takeaway

Four basic shapes: long call (hockey stick up), long put (hockey stick down), short call (inverted up), short put (inverted down). Every options strategy is a combination of these. Drawing payoff diagrams is the fastest way to understand any options trade. Once you see the picture, you understand the bet — even before you know the math behind the premium.