Risk sensitivity measures, commonly known as Greeks, quantify the change in a derivative’s price relative to changes in underlying market variables. These measures are essential tools for quantitative analysts and traders to understand and manage portfolio risk. The primary Greeks include Delta, Gamma, Vega, and Theta, each representing a different dimension of risk exposure.
Calculation
The calculation of these sensitivities involves partial derivatives of the option pricing model with respect to specific inputs. Delta measures the change in option price per unit change in the underlying asset price. Gamma measures the rate of change of delta, indicating how quickly the hedge needs to be adjusted. Vega measures sensitivity to volatility changes, while Theta measures time decay.
Application
In options trading, these measures are used to construct delta-neutral portfolios, manage volatility exposure, and optimize hedging strategies. For cryptocurrency derivatives, where volatility is high, accurate calculation and application of Greeks are critical for maintaining a balanced risk profile and preventing significant losses from rapid market movements.
