Option Strategy BuilderMedium

Combine calls, puts and the underlying into one position — and see the combined payoff, breakevens, Greeks and scenarios, live.

5 min read · 841 words · Updated

Why combine options at all?

A single option is a blunt instrument: a long call is "up, a lot, soon". Combining legs sculpts the payoff — cap what you'll pay, finance one option by selling another, profit from calm instead of direction, or insure a position you already own. Every classic strategy below is just addition: leg by leg, the payoffs sum into one combined curve. That summing is what this page's builder draws, live.

Interactive: options strategy builderMedium

Combine up to eight legs — calls, puts and the underlying — and watch the combined payoff at expiry take shape. Load a classic structure or build your own; every leg stays editable, and the ●-toggle lets you switch individual legs in and out of the graph to see what each one contributes.

Solid: P&L at expiry, with profit and loss zones shaded. Thin line: model value today (Black–Scholes, before expiry). Faint dashes: individual legs. Dots: breakevens. Touch or hover the chart for a readout.
Net premium
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Breakeven(s)
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Max profit
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Max loss
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Net delta
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Net gamma
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Net vega (per vol pt)
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Net theta ($/day)
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Premiums are pre-filled from Black–Scholes at your assumptions — overwrite any of them with live market quotes. Payoff at expiry per one unit of underlying; multiply by your contract size. The same builder prices FX and commodity option structures — only the conventions differ.

How to read the output

  • The solid line is the combined payoff at expiry — every leg's profit and loss added up at each underlying price. Green shading: where the position makes money; red: where it loses.
  • The thin yellow line is the position's model value today (Black–Scholes): before expiry, the position is worth time value too — this is why a position can be "winning" before the payoff diagram says so.
  • Dots mark breakevens; the dashed faint lines are the individual legs, so you can see what each contributes. The ●-toggle on each leg removes it from the graph without deleting it — the fastest way to understand a structure is to switch its legs off and on.
  • Net Greeks summarise the position's character: delta (direction), gamma (convexity), vega (vol exposure), theta (the daily time bill). A position with near-zero delta and negative theta is a bet on movement; positive theta and short gamma is a bet on calm.

The fourteen classics — a cheat sheet

  • Long call / long put — pure direction with limited loss. Pays for the right, bleeds theta.
  • Covered call — own the stock, sell the upside beyond a strike. Income in exchange for a cap; the retail wrapper is the discount certificate.
  • Protective put — stock plus insurance. The floor costs premium; the upside stays.
  • Bull call / bear put spread — direction with both entry cost and payoff capped. Cheaper than the naked option; the sold leg finances the bought one.
  • Straddle / strangle — long both a call and a put: a bet on movement, either way. The premium is the market's implied move; you profit only beyond it.
  • Iron condor / iron butterfly — sell a range (collect premium), buy wings for protection. Bets on calm; profits are capped at the credit, losses at the wing distance. The income trades of the options world.
  • Long butterfly — a pin bet: maximum payoff if the underlying lands exactly at the middle strike.
  • Collar — stock, financed floor, sold cap: the corporate hedger's default (see the worked FX example for the same structure on an invoice).
  • Risk reversal — sell the put, buy the call (or reverse): directional exposure financed by the opposite tail; also the unit FX desks quote smiles in.
  • Cash-secured short put — paid to promise buying lower; the engine inside reverse convertibles.

Three habits that separate study from gambling

  • Always find the sold option: every income-generating structure sells optionality somewhere. Toggle legs off until you find which leg carries the tail risk — that leg is the price of the "income".
  • Judge with the scenario table, not the best case: the table shows P&L at ±10% and ±20% today and at expiry — four numbers that expose what the payoff picture's happy region hides.
  • Re-price before you believe: the premiums here are Black–Scholes at your chosen vol. Real quotes carry the smile — overwrite the premium fields with market prices and the breakevens update honestly.

Information and education only. This page explains a mechanism in general terms, using simplified textbook models and illustrative figures. It is not advice, not a recommendation, and not a valuation you can rely on. Conventions and rules differ by market and jurisdiction and change over time.

Information and education only. Every page, figure and calculator on this site exists to explain how financial instruments work. Nothing here is investment, tax or legal advice, a recommendation, or a valuation you can rely on. Full disclaimer