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Derivatives · advanced

The Greeks: A Working Developer's Reference

Delta, gamma, theta, vega, rho — what each measures, the sign convention, and when each one is actually risky.

Derivativesadvanced11 min read

Delta — directional exposure

Delta is the sensitivity of an option's price to a $1 move in the underlying. Long calls have positive delta (0 to 1); long puts have negative delta (-1 to 0).

Gamma — curvature

Gamma is the rate of change of delta with respect to the underlying. It peaks at-the-money and is what makes short-dated options dangerous to short.

Theta — time decay

Theta is the daily bleed from time decay. It accelerates in the last 30 days. Theta-positive books (short premium) profit in calm, range-bound markets.

Vega — vol sensitivity

Vega is the sensitivity to a 1-point move in implied volatility. Long-vega books lose money in vol crushes even when direction is correct.

Not financial advice
This lesson is educational material, not personalized advice. Examples and case studies are illustrative. Trading carries real risk of loss — never invest money you cannot afford to lose, and consult a licensed professional for guidance specific to your situation.
Not financial advice
All content on TrendForge is for educational and informational purposes only. Nothing here is a recommendation, solicitation, or personalized financial advice. Markets carry risk — you can lose money. Do your own research and consult a licensed professional before acting.