Second-Order Greeks: Vanna, Charm, Volga and Volatility Surfaces
The previous article covered the five first-order Greeks: Delta, Gamma, Theta, Vega, and Rho. They handle hedging and risk management well, with one assumption: the first-order Greeks themselves are stable. They are not. The underlying moves, and Delta changes (that is Gamma). Volatility shifts, and Delta changes again, but first-order Greeks have no name for this effect. Second-order Greeks fill that gap: they quantify the instability of first-order Greeks themselves. This is part two of the Option Greeks series. It covers the three most important second-order Greeks (Vanna, Charm, Volga), plus their role in volatility surface modeling. Part three covers trading applications. ...