The previous three lessons held the strike still and moved the expiry. Now we do the reverse: fix the expiry, walk the strikes, and watch the contract change character entirely.

If DTE decides how much timing risk you carry, strike decides how much distance risk you carry. It is the second dial, and arguably the more consequential of the two.


The ladder

GOOGL closed at 332.60. Here is the full call ladder at eight days to expiry, from deep in the money to far out.

Strike Moneyness Δ Premium Character
315C Deep ITM 0.894 $18.73 Stock-like
320C ITM 0.811 $14.59 Stock-like
325C ITM 0.717 $10.58 Safer directional
330C Slightly ITM 0.590 $7.33 Balanced directional
332.5C At the money 0.521 $6.09 Balanced
337.5C OTM 0.388 $3.90 Aggressive
340C OTM 0.325 $3.04 Aggressive
347.5C Far OTM 0.184 $1.51 Expansion
350C Far OTM 0.150 $1.18 Expansion / lotto

Same stock, same expiry, same directional view. The contract at the top behaves almost like owning shares. The contract at the bottom is a bet that something unusual happens this week. Calling both of them "a call on GOOGL" hides more than it reveals.


What a dollar of movement buys you

Apply a one dollar move to the whole ladder and watch the dollar response track delta almost exactly.

Strike Δ Paid Gain on +$1
315C 0.894 $18.73 +$90
325C 0.717 $10.58 +$74
330C 0.590 $7.33 +$61
332.5C 0.521 $6.09 +$53
340C 0.325 $3.04 +$34
350C 0.150 $1.18 +$16

This is what delta means, made concrete. A 0.89 delta contract captures about 89 cents of every dollar the stock moves. A 0.15 delta contract captures about 15 cents.

If your thesis is "GOOGL probably rises, but I do not know how far", the high-delta contract has an obvious advantage: a small move still pays you meaningfully. The far out-of-the-money contract gives you $16 for the same dollar of movement, because it is not really a bet on a dollar of movement at all.


The same ladder in percentage terms

Now the mirror image. Same moves, expressed as return on premium.

Strike Δ +$1 +$3 +$5 +$10 −$3
315C 0.894 +5% +15% +25% +50% −14%
330C 0.590 +8% +26% +45% +97% −22%
332.5C 0.521 +9% +28% +48% +106% −24%
340C 0.325 +11% +36% +64% +150% −29%
350C 0.150 +14% +44% +81% +203% −32%

The percentage ranking is the exact inverse of the dollar ranking, and it holds at every move size. Lower delta always wins the percentage column on a favourable move.

This is the same leverage-versus-exposure duality from lesson three, now appearing on the strike axis instead of the time axis. It is not a coincidence — both dials trade the same thing. You are always choosing between a larger response in dollars and a larger response in percent.

Look at the final column. The low-delta contracts lose more too. Nothing about being cheaper made them safer.

⚠️ WARNING
Notice this table holds time constant. Add three quiet days and the bottom rows lose roughly 20 percent per day from theta while the top rows lose about 1 percent. The percentage advantage of low delta is real but it is racing a clock that the high-delta contracts barely hear.

Two genuinely different bets

The ladder is not a single trade at nine price points. It is at least two different kinds of bet.

In-the-money and at-the-money are direction plays. Most of what you hold is intrinsic value. You need the stock to go the right way; the size of the move scales your profit but does not decide whether you have one.

Out-of-the-money is an expansion play. You hold almost no intrinsic value. You need a move large enough to cross the strike before expiry, otherwise the contract is worth nothing at all. The size of the move is not a scaling factor — it is a condition.

330C — Δ 0.59350C — Δ 0.15
What you holdmostly intrinsic valuealmost all extrinsic
Needsdirectiondirection + magnitude
Small movestill payspays almost nothing
Theta drag5.1% per day19.8% per day
Fails whendirection is wrongmove is small, slow, or wrong

Same chart, same bullish view, two instruments with different failure modes. Choosing between them is not a question of budget.


Why anyone buys the bottom of the ladder

Because of what happens when the move is large. Look at the +$10 column again: the 350 call returns 203 percent against the 315 call's 50 percent.

That is gamma at work, and the mechanism is worth stating precisely. As price rises toward 350, that contract's delta rises — from 0.15 toward 0.30, then 0.50, then higher. Each additional dollar of movement is captured more efficiently than the last. The contract accelerates into the move.

This is convexity, and it is the genuine reason out-of-the-money options exist as a trade rather than a lottery ticket. The right way to use them is when you have specific reason to expect a move large enough for that acceleration to switch on.

The wrong way is to buy them because the premium is small.

How do I tell whether a strike is "far" out of the money?

Not by counting strikes, and not by dollars. Use delta.

"Five strikes out of the money" means nothing without knowing the strike spacing and the stock price. On this GOOGL chain, five strikes is $12.50 — about 3.8 percent. On SPY with $1 strikes, five strikes is $5 — about 0.7 percent. Those are completely different trades described with identical words.

Delta normalises all of it. A 0.15 delta contract is a 0.15 delta contract whether the stock trades at $20 or $700. The next lesson is entirely about this point, because it is the single most useful habit in reading a chain.


What to take from the ladder

Delta is not a detail of your strike choice. Delta is your strike choice, expressed in the only unit that means the same thing on every underlying.

Higher delta reduces distance risk: you need less movement for the trade to work. Lower delta increases it, and compensates with convexity if the move turns out to be large.

Switch the lab to "same DTE, vary strike" and drag the price slider slowly upward. Watch the low-delta rows do nothing at first, then accelerate past the others.

ℹ️ INFO
Next: why strike distance is the wrong unit entirely, and what to use instead.