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It’s the second derivative of option price w.r.t asset price.

The first derivative “delta” is the speed at which the option price moves w.r.t the asset price. If the option is “deep in the money”, it’s almost 1 - any move is the asset price is essentially also the same move in the option price. If it’s deep out of the money, it is almost 0 - the probability of the option being worth anything is almost zero, so it’s value doesn’t change with price moves. It is 0.5 at the money (but i don’t have a one line intuitive explanation)

Gamma is the acceleration of option price with respect to the asset price. If the asset price grows, how will the delta (speed) change?



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