Payoff at the short expiry
Profit or loss the moment the short leg expires, across a range of underlying prices. The short leg is worth its intrinsic value; the long leg is repriced with Black-Scholes over its remaining days. The peak sits near the short strike, where you keep the premium and the long leg holds its value; below the break-even you lose, capped at the net debit.
| Underlying at short expiry | P&L | On capital |
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Covered-call income on a fraction of the capital
A plain covered call ties up the full price of the coin. The poor man's version swaps the coin for a deep in-the-money longer-dated call — high delta, so it tracks the coin closely, but a small fraction of the price — and sells a near call against it for the same income. The reward is capital efficiency: often sixty to eighty percent less capital for a similar exposure, freeing the rest for other trades, with your worst case capped at the net you paid rather than the whole coin. The costs are real too: the long call decays and has an expiry, a hard crash can wipe the debit entirely because leverage cuts both ways, and a runaway rally above your short strike is capped exactly like a normal covered call. The diagonal's edge over a same-month covered call is that the long leg keeps time value past the short expiry, so a well-placed PMCC can out-earn spot income on the same capital. Compare the full-capital version with the covered call calculator, run the same-strike time trade with the calendar spread calculator, model the full ownership loop with the wheel strategy calculator, and watch each leg's greeks in the greeks calculator.
The math
The long leg is a deep in-the-money call at strike K_L with d_L days, the short leg an out-of-the-money call at K_S with d_S days, both priced by Black-Scholes at zero rate. The net debit is the long value minus the short premium, BS(K_L,σ_L,d_L) − BS(K_S,σ_S,d_S) — this is the capital you put up and your capped downside. Capital efficiency is one minus that debit divided by the coin price.
The short premium is your income leg: its yield on capital is the premium over the debit, annualized by × 365 ÷ d_S. At the short expiry the short leg is worth its intrinsic max(S−K_S,0), and the long leg is repriced by Black-Scholes over its remaining d_L − d_S days. The position value is long − short, and profit is that minus the debit.
Max profit peaks near S = K_S: the short leg expires worthless and the long leg holds the most value. The tool shows both the model figure (including the long leg's leftover time value) and the conservative intrinsic figure (K_S − K_L) − debit. The downside break-even is where profit crosses zero; below it you lose, capped at the debit — a full loss of capital if the underlying collapses. Figures scale by contract count. A model, not a quote — skew, fills and a moving IV surface will shift the result.