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The second derivative is everywhere in finance. It is convexity in bonds or gamma in options. When someone blows up in the financial world, it is usually a failure to understand the second ...
The closed-loop control diagram of a second-order system, incorporating a second derivative gain (D Diff. Gain) along with feed-forward gains for velocity, acceleration, and jerk.
R. Tyrrell Rockafellar, Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives, Mathematics of Operations Research, Vol. 14, No. 3 (Aug., 1989), pp. 462-484 ...
Vomma is a second-order Greek derivative, which means that its value provides insight on how vega will change with the implied volatility (IV) of the underlying instrument. If a positive vomma is ...
With that in mind, we can begin by stating that zomma is a third-order derivative. What this means is that zomma measures the change of a second-order derivative—specifically, gamma.