Payoff at expiry
Total position value change at settlement — spot plus the two option legs — across a band of prices. Below the put strike you sit on the floor; above the call strike you sit on the ceiling; between them you track spot shifted by the net premium.
| Price at expiry | P&L ($) | Zone |
|---|
Insurance you pay for by selling your upside
A collar is the honest hedge: you refuse to eat the downside, so you give up the upside to fund the refusal. The protective put sets a floor you cannot crash through; the covered call you sell to pay for it sets a ceiling you cannot rise above. Done right — a zero-cost collar — the two premiums cancel and you protect a position for no cash, wearing only the capped upside as the cost. It is the tool for holders who want to keep their coins through a scary stretch without selling and triggering tax, and the trap is forgetting that the ceiling is real: in a market that can double in weeks, the upside you sold can dwarf the downside you saved. This tool draws both lines so the trade is never blind. To price the two legs on their own, use the covered call calculator and the cash-secured put calculator; to size a plain hedge without a ceiling, the hedge calculator; and to watch delta and theta move each leg before expiry, the greeks calculator.
The math
You hold spot bought at entry E. You buy a put at strike Kp (below E) paying premium Pp, and sell a call at strike Kc (above E) receiving premium Pc. The net premium per coin is Pp − Pc: a positive number is a debit you paid, a negative one is a credit you received. A zero-cost collar is when Pp ≈ Pc.
At expiry price S, per-coin P&L is (S − E) + max(Kp − S, 0) − max(S − Kc, 0) − (Pp − Pc). That resolves into three zones. Below the floor (S ≤ Kp): the put covers every dollar lost, so P&L is fixed at its worst — max loss = (Kp − E) − (Pp − Pc). Above the ceiling (S ≥ Kc): the short call gives back every dollar gained, so P&L is fixed at its best — max gain = (Kc − E) − (Pp − Pc). Between them P&L just tracks spot minus the net premium.
The break-even is where that middle line crosses zero: BE = E + (Pp − Pc) — above entry for a debit collar, below entry for a credit collar. Multiply per-coin figures by position size for the dollar totals; percentages are taken against the entry notional E × size. The probability of finishing in profit is Φ((S − BE) ÷ σ$) with a one-standard-deviation move σ$ = S · (IV ÷ 100) · √(days ÷ 365) — here estimated from your strikes' spacing rather than a separate IV input, so treat it as a rough guide.