The Greeks — OptionsWizard

Delta (Δ) — Directional Exposure

What it measures: how much the option's price moves when the stock moves $1.

Typical values

Calls: 0 to +1.00. Puts: 0 to −1.00. A 0.40-delta call gains about $0.40 ($40 per contract) for each $1 the stock rises. Deep ITM options approach ±1.00; far OTM options approach 0.

Example: XYZ at $100. The $105 call shows delta 0.35 — if XYZ ticks to $101, the call should gain roughly $0.35.

High vs low

High delta (near ±1.00) = behaves almost like the stock itself — expensive, stock-like, small leverage. Low delta (near 0) = barely reacts to the stock — cheap lottery tickets that usually expire worthless.

How sellers use it: delta doubles as a probability proxy — 16 delta ≈ 16% chance of finishing in the money. That's why the flagship setup sells the 16s: it's the market's own one-standard-deviation line. Sellers also sum position deltas (beta-weighted to SPY) to keep the whole portfolio roughly direction-neutral. How buyers use it: delta is your directional horsepower and your hedge ratio — a 0.50-delta call behaves like owning 50 shares per contract.

Gamma (Γ) — Delta's Accelerator

What it measures: how fast delta itself changes when the stock moves $1.

Typical values

Gamma is always positive for long options (0 to ~0.15+ for most equity options). It's highest for at-the-money options and grows as expiration approaches.

Example: an ATM call with delta 0.50 and gamma 0.08: if the stock rises $1, delta becomes ~0.58 — the option is now more sensitive. Another $1 up, delta ~0.66. Acceleration compounds.

High vs low

High gamma = delta whipsaws with every tick — the position's risk profile is unstable. Low gamma = delta barely budges; the position behaves predictably.

Why sellers fear it — the gamma explosion: in the final ~21 days, gamma on short-dated options explodes. A short strangle that was calmly delta-neutral can go deeply directional on a single 2% move, with losses accelerating the further it runs. This is the mechanical reason for the 21-DTE rule: close or roll before you enter the gamma danger zone. Sellers collect theta; they pay gamma. Never hold short premium into expiration week.

How buyers use it: long gamma is the buyer's superpower — it means your winners accelerate and your delta grows into the move. Day-traders and event speculators buy short-dated ATM options precisely to rent high gamma.

Theta (Θ) — Time Decay

What it measures: how much the option's price erodes per day, all else equal.

Typical values

Quoted as a daily dollar amount per share. Long options have negative theta (they bleed); short options have positive theta (they earn).

Example: a call priced at $3.00 with theta −0.06 loses about $0.06 per share per day — $6 per contract per day — just for existing. Hold it a month doing nothing and time alone eats ~$180.

High vs low

High absolute theta = fast bleed (or fast income). Theta accelerates near expiration — the last 30 days decay far faster than the first 30. Low theta = long-dated options, where each day barely matters.

How sellers use it: theta is the seller's paycheck — the literal daily income for renting out risk. Every strategy on this site is, at bottom, a theta-harvesting machine: collect premium, let time erode what you owe, buy it back cheaper. How buyers use it: theta is your daily rent. If you buy options, you need the stock to move enough, fast enough to outrun the bleed — which is why buyers favor high-gamma, event-driven setups and keep holding periods short.

Vega (ν) — Volatility Sensitivity

What it measures: how much the option's price moves when implied volatility (IV) moves 1 point.

Typical values

Always positive for long options. Longer-dated and ATM options have the highest vega; short-dated OTM options have little.

Example: a 45-DTE strangle with vega 0.20 per leg: if IV drops 5 points after an event passes quietly, each leg loses ~$1.00 — $200 per strangle — from volatility crush alone, even if the stock never moves.

High vs low

High vega = the position lives or dies on volatility expectations — great when you're right about vol, brutal when you're wrong. Low vega = vol changes barely register; the trade is about price and time.

How sellers use it: vega is why the system only sells when IV Rank is above 50. High IV means rich premiums and high vega — when volatility inevitably mean-reverts lower, vega hands sellers a second profit engine on top of theta. This double tailwind (time + falling vol) is the core edge of premium selling. How buyers use it: buy vega when IV is low and you expect a volatility event — cheap lottery tickets before the storm. Never buy rich vega into a known event: the post-event "IV crush" routinely vaporizes option buyers even when they guess the direction right.

Rho (ρ) — Interest-Rate Sensitivity

What it measures: how much the option's price moves when interest rates move 1%.

Typical values

Small for most retail trades. Positive for calls, negative for puts — higher rates make calls slightly more valuable and puts slightly less.

Example: a 45-DTE ATM call might have rho 0.03 — a full 1% rate hike moves it $0.03. Barely a rounding error next to a normal day's stock move.

When it matters

Rho only becomes material on long-dated options (LEAPS) and deep ITM positions held for many months. For 21–60 DTE premium selling, you can safely ignore it — it's included here so you know it exists, not because you'll trade on it.

The Greeks at a Glance

One table. Tape it to your monitor.

Greek	Measures	Seller wants	Buyer wants
Delta (Δ)	Price move per $1 stock move	Low, stable deltas (16Δ strikes); portfolio near delta-neutral	High delta for directional punch (or low delta for cheap lottery tickets)
Gamma (Γ)	How fast delta changes	Low — exit by 21 DTE before gamma explodes	High — ATM, short-dated; acceleration into the move
Theta (Θ)	Daily time decay	Positive and large — it's the income	As close to zero as possible — or accept it as event-rental cost
Vega (ν)	Price move per 1pt IV move	High when selling — sell rich IV, profit as it falls	Buy when IV is low; beware IV crush after events
Rho (ρ)	Price move per 1% rate move	Negligible for 21–60 DTE trades; matters for LEAPS

Beyond the big five: second-order Greeks exist — Vanna, Volga, Charm, Vomma and friends measure how the Greeks themselves interact (e.g. how delta changes as volatility moves). Market makers live in that world. You don't need it to start: Delta, Gamma, Theta, and Vega cover ~95% of practical retail decisions.

Where to Go Next

The Greeks turn the strategies from recipes into understanding:

♟ The Playbook

Nine premium-selling structures — now re-read them and watch how each one is really a bet on specific Greeks.

Open the Playbook →

📊 The Metrics

IV Rank, expected move, POP — the dashboard that tells you when the Greeks are priced in your favor.

Learn the metrics →

📏 The Rules

Sixteen mechanical rules — including the 21-DTE exit that exists because of gamma.

Read the rules →

The Trader's Toolkit

The books and desk gear behind this site. No courses for sale here — just the tools.

📘 Option Volatility & Pricing

Sheldon Natenberg

The options bible. Natenberg explains volatility, pricing models, and how market makers actually think — from basic spreads to advanced volatility trading. If you only read one book on options, this is it. Dense but readable, and every serious trader I know has a worn copy.

See it on Amazon →

📗 Options as a Strategic Investment

Lawrence G. McMillan

The encyclopedia of options strategies. McMillan documents every spread, hedge, and combination in exhaustive detail with real-world examples and risk graphs. It's the reference you reach for when building or dissecting any position. Not a cover-to-cover read — a lifetime desk companion for strategy builders.

See it on Amazon →

📙 Trading Option Greeks

Dan Passarelli

The Greeks, finally made practical. Passarelli translates delta, gamma, theta, and vega from textbook math into trading decisions — when to be long gamma, how theta really decays, what vega means for your P/L. The perfect companion to this site's Greeks page, written by a former market maker.

See it on Amazon →

🖥️ The Trading Desk

Ultrawide monitor, mechanical keyboard, a chair you can sit in for six hours — the unglamorous edge.

See desk gear on Amazon →

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