Max profit / Max loss

Payoff at expiry

Profit or loss at settlement across a band of prices around your strikes. The break-even row and the two strikes are marked; between the strikes the payoff ramps from one cap to the other.

Price at expiryP&L ($)Zone

Defined risk is the whole trade

A single long option is a bet with a leak: time decay bleeds it every day you wait, and the move has to be big to overcome the premium. A vertical spread plugs the leak by selling a further-out option against the one you buy — the premium you collect on the short leg subsidises the long leg, so your cost drops, your break-even comes in closer, and your loss can never exceed a number you know before you enter. The price of that safety is a ceiling: past the short strike, you stop making money. Debit spreads — the bull call and the bear put — pay you for a move in your direction, with a maximum gain of the strike width minus what you paid. Credit spreads — the bull put and the bear call — pay you upfront to bet a move does not happen, with a maximum loss of the strike width minus the credit. This tool computes all four from the same two inputs so you can compare the trade you are considering against its opposite: the credit spread that wins often but risks a multiple of its reward, or the debit spread that wins less often but pays a multiple of its cost. To price a pure directional bet, use the straddle calculator for a move-agnostic play, the iron condor calculator to sell a whole range at once, or the greeks calculator to see how delta and theta will move each leg before expiry.

The math

Call the lower strike A, the upper strike B, and the strike width W = B − A. Enter your net premium P as a positive number; the strategy determines whether it is a debit (paid) or a credit (received).

For the two debit spreads the debit P is your maximum loss and W − P is your maximum profit. A bull call spread (buy the A call, sell the B call) breaks even at A + P and profits above it. A bear put spread (buy the B put, sell the A put) breaks even at B − P and profits below it.

For the two credit spreads the credit P is your maximum profit and W − P is your maximum loss. A bull put spread (sell the B put, buy the A put) breaks even at B − P and keeps the credit while price stays above it. A bear call spread (sell the A call, buy the B call) breaks even at A + P and keeps the credit while price stays below it. In every case risk/reward = max profit ÷ max loss.

The probability of profit comes from a one-standard-deviation move σ$ = S · (IV ÷ 100) · √(days ÷ 365), where S is the underlying price. Profit-above strategies (bull call, bull put) use POP = Φ((S − BE) ÷ σ$); profit-below strategies (bear put, bear call) use POP = Φ((BE − S) ÷ σ$), where Φ is the standard normal CDF and BE the break-even. It assumes a driftless, roughly normal return — a first-order estimate that ignores the fatter tails of real crypto returns, so treat far-out-of-the-money numbers as optimistic.

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