CALLS: THE RIGHT TO BUY

The chain’s real 773 call taken to its deadline: what the buyer keeps at six finishing prices, what the seller owes, and the only line that matters — 793.68. A call is a price-lock you pay for. A dealer agrees: this car, at today’s price, held for you until Nov 30 — for a fee, non-refundable. If the model’s price runs up in the meantime, you buy at the locked price and pocket the difference. If it falls, you buy cheaper on the open lot instead, and the fee is simply gone — that was the cost of the lock. Two features of the arrangement matter more than the story. First, the fee buys the right, not the car: you own nothing until you exercise. Second, the dealer who sold you the lock is bound at the locked price however high the market runs — their fee was small, their exposure is not. Every number in this lesson is that story with SPY’s real chain numbers in it.

CALLS · STAGE 5 · LESSON 2

THE TAKEAWAYS

• The payoff rule, from which the whole lesson is arithmetic: at expiration, a call is worth max(SPY − strike, 0) per share. Above the strike it pays the difference; at or below it, it pays nothing — nobody exercises a right to buy at 773 what the market sells for less. The buyer’s result is that value minus the premium paid; the seller’s is the premium collected minus that value. Every figure in the worked example, and every cell of the graphic, is this one line evaluated at a finishing price.
• Breakeven is the line the trade is actually about: strike + premium = 793.68. Between the strike and the breakeven sits the dead zone — prices where the contract pays real money back and the trade still loses. SPY finishing at 785, up nearly seven points from where it sat when the chain was captured, returns 12.00 against 20.68 paid: −$868. Being right about direction is necessary; it is nowhere near sufficient. The move must clear the premium, in full, by the deadline — Stage 6 ends with a lesson that makes drawing this line on the chart a non-negotiable habit.
• Both sides’ prices live in the same row, and the difference is Stage 2’s friction made visible: the buyer is logged at the ask (20.68) because that is the conservative fill — the course never flatters a trade by assuming the midpoint. The seller collects the bid (20.53): the 15 cents between them is the spread, paid by whoever crosses it. So the two seats even break even at different prices — 793.68 against 793.53 — and in the sliver between them, both sides lose. That is not a paradox; it is the market maker’s wage, itemised.
• One boundary on everything in this lesson: the table is exact only AT expiration. Before the deadline, the contract also carries extrinsic value — the price of its remaining time and possibility (Lesson 5 splits the premium open) — so a live quote mid-life sits above this lesson’s payoff line, and a trade can be closed for more (or less) than the table suggests. The course’s structures are normally closed before expiry (Stages 7–8), which means they are settled by the live price, not this table. But every path ends at this table if held — it is the contract’s final form, and the only honest place to plan from.

WORKED EXAMPLE — STEP BY STEP

1. The trade, entered the course way. From the real chain (Oct 9, 2026; SPY 778.12; Nov 30 expiry), buy one 773 call. The limit order starts at the midpoint and walks (Stage 2; the chain lesson’s routine) — and the fill this course logs is the conservative one, the ask: 20.68. Cash out: 20.68 × 100 = $2,068. That is the entire stake and the maximum loss, fixed at entry, whatever SPY does next.
2. Expiry, finish one — SPY closes at 778.12 on Nov 30, exactly where it sat when the chain was captured. The call pays 778.12 − 773 = 5.12. You recover $512 of the $2,068: a loss of $1,556 on a contract that finished in-the-money, in a market that did not move at all. The premium’s other 15.56 was the price of time and possibility — Lesson 5 names the two parts of a premium; at expiry, only one of them is still money.
3. Finish two — SPY rallies to 785 and holds. The call pays 12.00; you recover $1,200; the loss is $868. SPY rose nearly seven points in your favour and the trade still lost, because the finish line was never the 773 strike — it was 793.68. This is the outcome beginners find unbelievable exactly once, usually with real money. You are meeting it here, on paper, where it is cheap.
4. Finish three — SPY closes at 800: the call pays 27.00, profit 27.00 − 20.68 = 6.32, or +$632. At 810: +$1,632. Above the breakeven the buyer gains $100 per point per contract with no ceiling — the same slope, read from the other seat, that makes the short call the dangerous chair at the table.
5. The seller’s finishes, collected at the bid (20.53 → $2,053; breakeven 793.53): at 778.12 they keep 20.53 − 5.12 = 15.41 → +$1,541, their best realistic day. At 800 they owe 27.00 against 20.53 kept: −$647. At 810: −$1,647 — and the bill keeps growing $100 a point for as high as SPY cares to go. One row, two risk species (Lesson 1), and a preview of Stage 7’s first fence: a sold call is only ever sold here with a bought call above it, capping exactly this slope.

THE PAYOFF PICTURE — AT EXPIRATION

COMMON BEGINNER MISTAKES

• Judging the call by the strike. ‘SPY finished above my strike’ is not a win — the line is strike + premium: 793.68, not 773.
• Counting a rally as profit before it clears the premium. Between 773 and 793.68 the trade is losing at expiry at every single price.
• Forgetting that ‘eventually’ is not a contract term. SPY reaching 800 in December pays a Nov 30 contract nothing. The deadline is part of the price you paid.
• Reading the seller’s premium as income. It is the price of an uncapped obligation: their ceiling is the $2,053 collected, and their floor does not exist.

CHECK YOURSELF

DO IT — PRICE THE DEAD ZONE ON PAPER

In your journal, take today’s SPY chain (paper only) and find the call nearest 0.60 delta. Write its strike, its ask, and the sum of the two — its breakeven at expiry. Then write its three finishes: at the strike (the full premium, lost), at today’s SPY price (compute the payoff from the rule: max(SPY − strike, 0) − premium), and at the breakeven. You have just rebuilt this lesson’s table on a live row — the Stage 5 gate will ask you to do it on an unseen one.