Options profit calculator formula at expiration
At expiration, a call is worth the greater of the stock price minus the strike price or zero. A put is worth the greater of the strike price minus the stock price or zero. For a purchased option, the calculator subtracts the premium paid; for a written option, it reverses that result. Each option value is multiplied by the contract quantity and the standard 100-share multiplier. Stock legs use the difference between the modeled stock price and entry price multiplied by shares.
Adding every leg produces the strategy P&L at each stock price. This creates the expiration line, break-even crossings, maximum modeled profit, and maximum modeled loss. Unlimited results are identified from the payoff slope rather than shown as an arbitrary large number.
Options profit chart before expiration using Black-Scholes
Before expiration, intrinsic value alone is incomplete because an option can retain time value. The chart and heatmap use the Black-Scholes model with the stock price, strike, remaining time, volatility, risk-free rate, and dividend yield entered in the workspace. The value of each leg is compared with its entered premium to estimate open-position profit or loss.
Black-Scholes is a useful common model, not a promise of market value. American-style exercise, discrete dividends, volatility skew, liquidity, jumps, assignment, borrow costs, and the bid-ask spread can make a tradable quote differ from the estimate. Those differences are why every premium and volatility field is editable.
Net Greeks for a multi-leg options strategy
Delta estimates directional sensitivity, gamma estimates how delta changes, theta estimates one day of time decay, vega estimates sensitivity to one volatility point, and rho estimates sensitivity to one interest-rate point. The calculator multiplies each leg's Greeks by direction, contracts, and the contract multiplier before adding them into a net position value.
Greeks are local estimates: a single value describes the position near the current inputs, not at every possible stock price or future date. Recalculate after changing price, time, volatility, or any leg to understand how the exposure moves.
Options probability of profit estimate and model limitations
The probability of profit estimate uses a risk-neutral lognormal distribution with the default volatility, rate, dividend yield, and analysis horizon. It is not a forecast and does not establish liquidity, execution quality, margin treatment, assignment behavior, tax outcome, or suitability. Check live quotes, contract specifications, corporate events, exercise style, and broker requirements independently before making a decision.
You can save scenarios in the current browser, copy a shareable input link, or export the modeled price table to CSV. Saved inputs are for comparison and record keeping; they are not connected to a brokerage account and cannot place an order.
