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What are the option Greeks, in plain words?

The Greeks are estimates of how an option's price reacts when one thing changes and the rest stay still. Delta: a $1 move in the stock 1. Gamma: how much delta itself changes with that move 2. Theta: a day passing 3. Vega: one point of implied volatility 4.

A call with a $50 strike (made-up numbers). Move the stock, the days left and the implied volatility, and read each Greek in dollars.

Source: the StrikePath engine, pricing with the Black–Scholes formula 5 at 4.3% interest a year; a simulated example, not market prices. For learning; not advice.

In numbers

With the stock at $50, 30 days left and 30% implied volatility, the call costs $1.80 by the formula 5. Its delta is 0.53, gamma 0.092, theta −0.031 (time takes about 3.1¢ a day) and vega about 5.7¢ a point 5: a $1 rise adds about 53¢, a day takes about 3.1¢, a point of volatility adds about 5.7¢. Each is a rate for a small change; close to expiry the formula's own numbers, shown in the picture, can differ a lot from the estimates.

How they change

Delta moves toward 1 deep in the money and toward 0 far out of it 1. Gamma is highest at the money 2. Time decay speeds up as expiry nears 3. Vega is highest near the strike and shrinks as expiry nears 4. Move the sliders to watch each one.

What this shows, and what it doesn't

The formula's Greeks for one call, each for a small change with the rest held still. Real moves come together.

Go further

Sources (5), checked 20 October 2026 and 27 October 2026
  1. The Options Industry Council, “Delta”. Read it (read 20 October 2026)
  2. CME Group, “Options Gamma – The Greeks” (Option Greeks course). Read it (read 27 October 2026)
  3. The Options Industry Council, “Theta”. Read it (read 20 October 2026)
  4. CME Group, “Options Vega – The Greeks” (Option Greeks course). Read it (read 27 October 2026)
  5. Fischer Black and Myron Scholes, “The Pricing of Options and Corporate Liabilities”, Journal of Political Economy 81(3), 637–654, 1973. Read it (read 20 October 2026)

Now try it on a scenario of your own

Pick where a simulated stock might be, and by when: drag one dot and see, side by side, what buying shares, one option, or a pair of options (a call or put spread) would each do. Free, no sign-up.

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