Build any 1–4-leg options strategy — single calls and puts, vertical spreads, iron condors, straddles, covered calls, collars — and see Black-Scholes Greeks, today/halfway/expiry P&L curves, breakevens, max profit/loss, ROI, and probability of profit.
Strategy & Legs
Select a strategy to auto-fill the legs, then customize. Editing any leg switches the label to "Custom".
Market Parameters
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$
Charged on each open and close. Stock legs assume $0.
P&L at Expiry
$0.00
Long Call — strike $100, premium $4.50
Total P&L at Scenario
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Break-Even
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Max Profit
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Max Loss
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Return on Capital
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Expected Move ±σ
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Net Debit / Credit
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Prob. of Profit
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Aggregate Greeks (at current spot, today)
Delta (Δ)
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Gamma (Γ)
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Theta (Θ/day)
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Vega ($/vol-pt)
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Rho ($/rate-pt)
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Payoff Diagram
Strategy P&L across underlying prices auto-fit around spot ($100) and the strikes ($100). Dashed vertical lines mark breakeven ($105) and current spot. When IV and DTE are set, dashed curves overlay today (T+0) and halfway-to-expiry P&L from the Black-Scholes model.
P&L at underlying-price moves around the current spot. Use the Scenario Grid Range control on the Calculator tab to switch between ±15%, ±25%, and ±50% windows.
Move from Spot
Underlying at Expiry
Total P&L
ROI vs. Net Debit
Highlighted row is the closest scenario to your entered "Price at Expiry."
7 min read4 steps18 terms2 examples9 FAQsCall intrinsic = max(Underlying − Strike, 0); Put intrinsic =…
Options are leveraged contracts on an underlying asset.
Choose from 12 prebuilt strategies — long call, long put, vertical spreads, iron condor, straddle, covered call, collar — to auto-fill the legs. Or leave it on Custom and add legs manually.
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Edit the Legs
Each option leg has a type (Call/Put), direction (Long/Short), strike, premium per share, and number of contracts. Add a stock leg for covered calls, collars, or protective puts. Each US equity option contract represents 100 shares.
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Set Market Parameters
Enter the current spot price, your implied volatility estimate, days to expiry, risk-free rate, dividend yield, and commission per contract. These drive the Black-Scholes Greeks and the today/halfway-to-expiry payoff curves.
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Read the Results
The result card shows total P&L at your scenario price, every breakeven, max profit/loss, return on capital, probability of profit, and aggregate Greeks (Δ, Γ, Θ, Vega, Rho). The Payoff Diagram overlays the expiry hockey-stick on today's BS-modeled value. The Scenario Grid tabulates P&L across price moves.
The exercise value of the option at expiration. Out-of-the-money options expire worthless (intrinsic = 0).
Per-Contract P&L
P&L = (Intrinsic − Premium) × 100 × Direction
Direction is +1 for long positions, −1 for short. Multiply by the number of contracts for total P&L. The 100 reflects the standard US equity option multiplier.
Break-Even
Call BE = Strike + Premium; Put BE = Strike − Premium
The underlying price at which the position breaks even at expiry. Long calls profit above BE; long puts profit below BE.
Reviewer: Calculover Editorial Review - Source and limitation review
Last reviewed: 2026-05-21
Last verified: 2026-05-21
Data effective: 2026-05-21
Methodology
Options P&L Calculator aggregates up to four legs (option or stock) and computes (1) at-expiry payoff from intrinsic value, (2) today's mark-to-market and halfway-to-expiry P&L from a Black-Scholes-Merton model with continuous dividend yield, (3) aggregate Greeks (Δ, Γ, Θ, Vega, Rho) at the current spot, (4) breakevens by dense sampling, max profit/loss with unbounded-side detection, and (5) probability of profit by integrating the lognormal terminal-price distribution. Commissions are deducted using the user-specified per-contract per-side rate.
Assumption: Standard US equity option contract size of 100 shares.
Assumption: European-style evaluation — early exercise and American-style early-assignment risk are not modeled.
Assumption: Constant implied volatility across strikes and times (no skew or term structure).
Assumption: Geometric Brownian motion for the underlying (lognormal terminal distribution).
Assumption: Continuous dividend yield approximation (no discrete dividends).
Limitations & guidance
Options P&L Calculator does not predict the underlying price at expiry, recommend strategies, or assess whether a trade is suitable for the user.
Probability of profit and today/halfway P&L curves are model estimates; actual outcomes can differ materially when volatility shifts or the underlying gaps.
Actual realized P&L will differ from displayed values due to bid-ask spreads, taxes, regulatory fees, and any early exercise or assignment.
Margin estimates for short positions use a Reg-T-style 20% of underlying notional heuristic; brokers and portfolio-margin accounts may require different amounts.
Professional guidance: Options P&L Calculator is for options math education only and is not investment, tax, legal, or financial advice. Options trading involves substantial risk and is not suitable for all investors. Consider your risk tolerance and consult a licensed advisor before trading.
Call ↗An option contract giving the holder the right to buy the underlying at the strike price, on or before expiry.
Put ↗An option contract giving the holder the right to sell the underlying at the strike price, on or before expiry.
Strike Price ↗The fixed price at which the option holder can buy (call) or sell (put) the underlying.
Premium ↗The per-share price of the option. Long positions pay the premium; short positions receive it. Total cost = premium × 100 × contracts.
Long Position ↗You bought the option. Your max loss is the premium paid; upside depends on the option type.
Short Position ↗You wrote (sold) the option and received the premium. Short calls have unlimited loss potential; short puts have bounded loss to strike price.
Break-Even ↗The underlying price at expiry at which the position produces zero P&L after accounting for the premium.
In-The-Money (ITM) ↗An option with positive intrinsic value at the current underlying price. Calls are ITM when underlying > strike; puts when underlying < strike.
Delta (Δ) ↗Dollar change in the position's value per $1 change in the underlying. Also equals the position's effective share count — a delta of +50 behaves like 50 shares of long stock near current prices.
Gamma (Γ) ↗Rate of change of delta per $1 move in the underlying. High gamma means delta will swing rapidly as the underlying moves — characteristic of ATM short-dated options.
Theta (Θ) ↗Dollar decay in option value per calendar day, all else equal. Long options have negative theta (they lose value daily); short options collect theta.
Vega ↗Dollar change in option value per 1-percentage-point change in implied volatility. Long options are long vega; short options are short vega.
Rho ↗Dollar change in option value per 1-percentage-point change in the risk-free rate. Usually small for short-dated options.
Implied Volatility (IV) ↗The volatility input that, when plugged into a Black-Scholes model, produces the option's observed market price. Higher IV → richer premiums on both calls and puts.
Probability of Profit (POP) ↗A model estimate (using Black-Scholes' lognormal terminal-price distribution) of the probability that the strategy will be profitable at expiry. Not a guarantee — sensitive to your IV input.
Vertical Spread ↗A two-leg strategy with one long and one short option of the same type and expiry but different strikes. Bull call spread = long lower-strike call + short higher-strike call.
Iron Condor ↗A four-leg short-volatility strategy: short put + long lower-strike put + short call + long higher-strike call. Profits if the underlying stays between the two short strikes through expiry.
Covered Call ↗Long 100 shares of the underlying paired with a short call. Generates income from the call premium; caps upside at the call strike plus premium received.
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Scenarios
Real-World Examples
2 worked examples▸
JA
Jamie
Long Call Speculation
Position Long CallStrike $100Premium $5.00Contracts 1Underlying at expiry $110
Intrinsic = $110 − $100 = $10. P&L per share = $10 − $5 = $5. Per contract = $500. Break-even = $105. Max loss = $500 (premium); max profit unlimited. ROI = 100%.
RI
Riley
Covered Call
Position Short CallStrike $110Premium $3.00Contracts 1Underlying at expiry $105
Underlying stays below strike, so the call expires worthless. Intrinsic = 0. Short P&L = (0 − $3) × −1 × 100 = +$300. The premium received is kept; the stock position is unaffected by the option (no assignment).
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Reference
Cite This Calculator
APA & MLA▸
Use either format to cite this calculator in a paper, report, or resource list.
Options are leveraged contracts on an underlying asset. Their P&L at expiry depends on just two numbers — intrinsic value and the premium you paid or received — but the asymmetric payoff makes them powerful and frequently misunderstood. This calculator visualizes the payoff for any single-leg call or put so you can see exactly where the position makes money, breaks even, and loses.
Why the Payoff Curve Has a Kink
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Every option payoff diagram has a sharp bend at the strike price. That kink is the entire mechanism of optionality: above (or below) the strike the option behaves like the underlying, and on the other side it sits flat at zero intrinsic value. A long call pays off 1-for-1 with the underlying above the strike — every dollar the stock moves up adds $100 of P&L per contract (because each contract is 100 shares). Below the strike, the option expires worthless; the only loss is the premium paid, no matter how far the stock falls. That asymmetric payoff is what gives options their characteristic risk profile: defined loss, undefined or much-larger upside.
Puts mirror this: the kink is to the left of the strike, payoff rises 1-for-1 as the underlying falls below strike, and is flat at zero above. Short positions flip everything vertically — what was profit becomes loss, what was unlimited upside becomes unlimited downside risk. The payoff diagram in this calculator draws that geometry so you can read the structure of a trade at a glance.
Break-Even, Max Profit, and Max Loss
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Break-even is not the strike. For a long call you do not start making money until the underlying has risen by enough to recover the premium you paid; for a long put, the underlying has to fall that far. Hence the formulas: Call BE = Strike + Premium; Put BE = Strike − Premium. A $100 strike call you bought for $5 needs the stock to reach $105 at expiry to break even. If the stock closes at exactly $100, the call expires worthless and you lose the full $500 premium for the contract.
Max loss for a long option is always the premium paid — it cannot be more, because the option expires at zero intrinsic value at worst. For short positions, max profit is the premium received, while max loss can be enormous (unlimited for a naked short call, capped at strike-minus-premium for a short put if the underlying goes to zero). This calculator computes each value automatically and shows 'Unlimited' for the unbounded sides so you don't accidentally treat them as bounded risks.
How Strategy Presets Compare
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The four presets demonstrate the most common single-leg strategies. Long Call Speculation is the textbook bullish bet — defined risk (premium), uncapped upside. Long Put Hedge is the bearish or insurance bet — defined risk, profit grows as the underlying drops. Covered Call generates income from a stock you already own by selling out-of-the-money calls; the premium received cushions modest downside, but caps your upside at strike + premium. Protective Put pairs long stock with a long put as portfolio insurance: max loss is capped at the put's strike minus your stock cost basis, minus the premium you paid for protection.
The payoff for the option leg alone is what this calculator shows. Real portfolios often combine the option with a stock position — the math then sums two payoff lines into one combined diagram. For multi-leg spreads (verticals, iron condors, straddles), the same principles apply but you would aggregate the per-leg payoffs.
What This Calculator Does Not Model
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This is a P&L-at-expiry tool — it ignores time value, implied volatility, dividends, early exercise, assignment risk, and the path the underlying takes to get to its expiry price. The mid-life value of an option is governed by Black-Scholes-style pricing models that include time-to-expiry, volatility, interest rates, and dividends. Before expiry, an option's market price will exceed its intrinsic value by an amount called extrinsic (time) value; that decays toward zero as expiry approaches. If you sell to close before expiration, your realized P&L will include that extrinsic value, which is not what this calculator displays.
It also does not account for commissions, regulatory fees, or the bid-ask spread, all of which can meaningfully reduce realized P&L on small positions. For a complete trading decision, combine this expiry P&L analysis with an options pricing model that handles the path-dependent value of the position before expiration.
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Questions
Frequently Asked Questions
9 questions▸
How do you calculate the profit and loss on an options trade?+
Options P&L at expiry is the intrinsic value of the option minus the premium you paid (or plus the premium you received, if short). Multiply by 100 shares per contract and by the number of contracts. Long call P&L = (max(Underlying − Strike, 0) − Premium) × 100 × Contracts.
What is the break-even price for an option?+
Break-even is the underlying price at which the position produces zero P&L at expiry. For calls: Strike + Premium. For puts: Strike − Premium. A $100 strike call you paid $5 for breaks even at $105 — the underlying must move at least that far in your favor to recover the premium.
What are the maximum profit and maximum loss for calls and puts?+
Long call: max loss = premium paid; max profit = unlimited (rises with the underlying). Long put: max loss = premium paid; max profit = (Strike − Premium) × 100 per contract, realized only if the underlying goes to zero. Short call: max profit = premium received; max loss = unlimited.
How do you read an options payoff diagram?+
The x-axis is the underlying price at expiry; the y-axis is your dollar P&L for the entire position. The line is flat at −premium (or +premium for shorts) on the side of the strike where the option is out-of-the-money, then bends at the strike and moves 1-for-1 with the underlying on the in-the-money side.
Why does one contract cover 100 shares?+
Standard US equity option contracts are written on lots of 100 shares — a convention from the days of physical share certificates. Index options may use different multipliers ($100 for SPX), and futures options use the multiplier of the underlying contract.
What is the difference between intrinsic value and time value?+
Intrinsic value is the exercise value of the option at the moment — max(0, Underlying − Strike) for calls, max(0, Strike − Underlying) for puts. Time value (extrinsic value) is everything else the option is worth in the market: the chance that intrinsic value will grow before expiry, plus volatility premium.
Does this calculator account for taxes or commissions?+
Commissions are subtracted from total P&L using the per-contract rate you provide (default $0.65, charged on both open and close — for stock legs the commission is assumed to be zero). Taxes are not modeled. Equity options held over a year qualify for long-term capital gains; held under a year, they are short-term. Section 1256 contracts (SPX, NDX, RUT index options) get 60/40 long/short-term treatment regardless of holding period.
What strategies does the calculator support?+
Single legs (long/short call or put), vertical spreads (bull call, bear put), iron condor, iron butterfly, long straddle, long strangle, covered call (stock + short call), protective put (stock + long put), and collar (stock + long put + short call). You can also build any 1–4-leg combination manually; the calculator auto-detects the strategy name when it matches a known shape.
How accurate are the Greeks and probability of profit?+
Greeks come from the Black-Scholes-Merton model with continuous dividend yield, evaluated at the current spot. Probability of profit integrates the lognormal terminal-price distribution implied by your IV. Both are model estimates — they assume the model's geometric Brownian motion is correct, that volatility is constant, and that no early exercise occurs. They are useful for comparing strategies, not for guaranteeing outcomes.
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