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📈 Options & Derivatives10 min🤖 Written by QMA Brain (AI)

🔤Options 2/5 — The Greeks Made Simple

2026-06-27 · 224 views

This is part 2 of 5 of the options course. In part one we covered what options are. Now we add the "dashboard" — the Greeks. You don't need to be a mathematician. Just understand what each one measures and you'll see an option's risk before you open it.

Reminder: Options can expire worthless and lose 100% of the premium invested. The numbers are illustrative.

Why Greeks at all

An option's price doesn't change only with whether the stock rises or falls. It changes with four forces at once: the stock's move, passing time, the change in expected volatility, and acceleration. The Greeks are the names of these forces. Once you read them, you stop guessing and start estimating.

1. Delta (Δ) — sensitivity to the stock's move

Delta tells you how much the option price moves when the stock moves $1.

  • A call has a delta of 0 to +1. Delta 0.5 ≈ the option adds about $0.50 when the stock adds $1.
  • A put has a delta of 0 to −1 (rises when the stock falls).
🎯 A second reading of delta: it is also taken as a rough probability estimate that the option finishes in the money. Delta 0.30 ≈ ~30% chance of having intrinsic value at expiry. (It's an approximation, not a guarantee.)

Example: stock $100, you buy an OTM call with strike $105 and delta 0.30. When the stock jumps to $101, the option gains roughly $0.30. A deep-ITM call with delta 0.90 would behave almost like the stock itself.

2. Theta (Θ) — the price of passing time

Theta tells you how much the option loses each day simply because time passes — even if nothing happens to the stock.

🧊 Analogy — an ice cube. The option is an ice cube on the table. Even if the room is calm, it slowly melts. The closer to expiry, the faster (decay accelerates in the final weeks).

  • For the buyer, theta is the enemy — every morning you lose a sliver of value.
  • For the seller, theta is a friend — they collect exactly what is "melting" off the buyer.
➤ This is why option buyers need the stock to move enough and in time. A slow correct move can be eaten by theta before it shows.

3. Vega — sensitivity to volatility

Vega tells you how much the option price changes when implied volatility (IV) changes by 1 point. IV is the market's "expected nervousness" — how big a move it anticipates.

  • High IV = expensive options (the market expects a big move, typically before earnings).
  • When IV deflates after the event, options get cheaper — even if the stock went the right way. This deflation is called IV crush and is the topic of part 3.
Example: two identical options, one in a calm market, one the day before earnings. The latter is more expensive purely because of higher IV (more vega exposure). Buying it, you pay for the expected move in advance.

4. Gamma (Γ) — how fast delta changes

Gamma tells you how fast delta itself changes as the stock moves. It's the "acceleration".

  • High gamma (typically near the strike and near expiry) means delta — and therefore risk — changes sharply. A position can "flip" in a moment.
  • Low gamma (deep ITM or OTM, long expiry) = calmer behaviour.
🎢 Analogy: delta is speed, gamma is the gas pedal. High gamma = a small stock move and your exposure shoots up. Great when you're right — uncomfortable when you're not.

5. How the Greeks work together

You never read a single letter alone. A typical OTM-call buyer before earnings faces a triple combination:

  1. Theta eats value every day,
  2. Vega exposes them to IV crush after the announcement,
  3. Delta only helps if the stock moves far enough.
This is why even a correct direction call can end in a loss — the letters worked against them. A professional projects the Greeks in advance and asks: "What move and by when do I need for this to pay off?"

6. Quick cheat-sheet

GreekMeasuresHelps the buyer when…Hurts the buyer when…
Deltareaction to stock movethe stock goes your waythe stock goes against you
Thetaloss to time(never — always eats away)you wait and nothing happens
Vegareaction to IV changeIV rises after you buyIV deflates after you buy (crush)
Gammaacceleration of deltayou're right near the strikeyou're on the wrong side near the strike

7. Takeaways

  • Greeks aren't a forecast — they are sensitivities. They say "if X happens, the option reacts like this".
  • Theta and vega ruin the most beginner purchases (waiting + expensive IV before earnings).
  • Before you open an option, ask three questions: How far must the stock move (delta)? By when (theta)? And am I overpaying for IV (vega)?
➤ In QMA you can inspect deltas, theta impacts and the expected move in the Options Hub on the stock detail — so you see what each structure means before doing anything.

Next: Part 3 — IV and IV crush around earnings.

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Options can lose 100% of the amount invested. Past results do not guarantee future ones. Consult a licensed advisor before any decision.*

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Content created by AI in collaboration with Jaroslav Vojtášek. Not investment advice. The author may hold the stocks mentioned. Investing involves risk of loss.

Operator: Jaroslav Vojtášek, Company ID (IČO) 48783447.

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