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The Options Greeks: Delta, Gamma, Theta, and Vega, Explained Simply

Options and Derivatives • Beginner Investing • 8 min

What this lesson is about

Four Greek letters that answer four different, precise questions about exactly how an option's price will react, to price, to time, and to uncertainty itself.

2 parts · a quick check after each · then the quiz

Part 1 of 2

"The Greeks" might seem daunting, but each one answers a clear question about how an option's price reacts to specific changes. Delta tells you how much the option's price will move for a $1 change in the underlying stock. It typically ranges from 0 to 1.0 for calls (0 to -1.0 for puts). You can think of Delta as a rough estimate of the probability that the option finishes in-the-money. Gamma follows up. How much will Delta change as the stock moves? Gamma peaks for options near their strike price as expiration approaches, meaning Delta can shift fast in those situations.

What an option paysBuy or sell, call or put. The kink is at the strike.

Quick check

What does Delta measure?

Part 2 of 2

Theta addresses a different issue. How much value does this option lose each day just from time passing, assuming everything else stays the same? This time decay is a constant force against anyone holding a long option position. It also benefits anyone who sold it. It isn’t linear. It speeds up as expiration gets closer. Vega completes the four most commonly cited Greeks. It shows how much the option's price changes if the market's expectation of future volatility shifts, regardless of any actual stock price movement.

Insider Angle: They call them "the Greeks" because the math in options pricing models uses the Greek alphabet: delta (Δ), gamma (Γ), theta (Θ), and vega (which isn’t actually a Greek letter, a quirky exception in an otherwise Greek group). Together, these four numbers help a trader figure out exactly why an option's price changed on a given day. Was it the stock price move, time passing, or a shift in expected volatility? Instead of just seeing the price change and guessing the cause, you can get specific.
Try This: Look up an option's current Delta, Theta, and Vega (most brokerage platforms show these directly). For a particular day, try to figure out how much of the option's price change resulted from the stock's move (using Delta), time decay (using Theta), or any volatility shift (using Vega).

Quick check

What does Gamma measure?

Quiz

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