Pricing & risk
Payoff Diagrams & Breakevens
A payoff diagram plots profit and loss versus stock price at a chosen date (often expiration). It is the fastest way to see risk shape.
Reading a P/L chart
- Horizontal axis — underlying price at the evaluation date.
- Vertical axis — dollars of profit or loss (include premium paid/received).
- Zero line — breakeven region(s) where P/L crosses from loss to profit.
At expiration vs before expiration
At expiration, options settle to intrinsic value — the classic “hockey stick” shapes. Before expiration, curves are smoother because remaining time value (and IV) still matter. Our calculator uses Black–Scholes for pre-expiry theo values and intrinsic at expiry.
Max profit, max loss, breakeven
- Max profit — best-case P/L in the model (sometimes unlimited).
- Max loss — worst-case P/L (sometimes unlimited for naked shorts).
- Breakeven — stock price(s) where total P/L is zero after premium.
Example: long call strike 100, premium $3 → expiration breakeven ≈ $103. Profit only above that after the debit.
Heatmaps
A date × price heatmap shows how P/L evolves as time passes — essential for calendars, diagonals, and short premium where path and timing matter, not only the final pin.
Open any strategy calculator · Learn debit vs credit spreads
Try it on the calculator
Theory sticks when you plot real strikes. Open a strategy and stress-test premiums on a payoff heatmap.