Buying AAPL puts: hedge math and breakevens

A long put is the right to sell 100 shares at $340 until October 30, 2026. Max loss is the $935 premium; max profit is $33,065, reached only if AAPL goes to zero.

Below $330.65 the position is in profit at expiry, gaining one-for-one with each dollar the stock falls. Above $340 it expires worthless — which is the good outcome if you own the shares.

Puts carry a structural headwind: skew. Downside strikes on AAPL trade at higher implied vol than equivalent upside strikes because everybody wants the same protection at the same time. You are buying the expensive wing, always.

As a hedge on 100 shares, this put caps the loss below $340 at the cost of 2.7% of position value — an annualized drag of 30.3% if you run it continuously. That is the honest price of permanent protection, and it is why most people don't.

The modal outcome for a bought put is expiring worthless. AAPL above $340 at October 30, 2026 costs the full $935, and stocks drift up more often than down.

Timing risk is worse than for calls: crashes are fast and rare, so a put's payoff is concentrated into a few days that may fall outside your 33-day window entirely.

The ceiling on a spread is a real cost, not a theoretical one. It is paid exactly in the scenarios where your thesis worked best, which is when it hurts most to notice.

Apple's problem for a directional buyer is that it moves in steps, not slopes: nine quiet weeks and then a gap on a print or a product cycle. Debit structures dated to catch the step are fine; ones dated to catch drift bleed. Put the short leg where the last two earnings gaps actually landed, not where the narrative wants the stock to be.

AAPL's Oct 30 strikes are $5 apart near the money (1.47% of spot). On a ladder that wide, "pick the 0.30 delta strike" resolves to whichever rung happens to be closest — sometimes not close at all. 25k contracts of open interest on Oct 30 is workable around the money and thin in the wings — width costs more here than the ladder suggests. 23 strikes on that expiry — 92% of the board — carry prints that agree with their own implied volatility and hold up across the ladder, and those are the strikes priced here. Penny-wide almost everywhere. If a spread will not fill near mid on Apple, the price is wrong, not the market.

Skew is ordinary — the 25-delta put implies 2.2% more vol than the 25-delta call, about what an equity surface looks like when nothing unusual is being priced. Nothing on the surface argues strongly for one direction of structure over the other. The term structure is flat inside 1.5% between the two captured expiries, so there is no calendar edge to harvest and no event visibly priced into one month over the other.

At 26% ATM implied vol, the Oct 30 options are pricing a one-standard-deviation move of $26.25 over 33 days — roughly −7.7% to +7.7%, or $314.82 to $367.32. That band is the free part of the move. Anything your structure needs beyond it is the part you have to be right about.

The AAPL-specific failure mode: Writing calls into a September product cycle at the same delta you used in July. The distribution changes; the delta table does not tell you that.