Hawkes Process

Application

The Hawkes process, within cryptocurrency and derivatives markets, models self-exciting event arrival, meaning prior transactions increase the probability of subsequent activity. Its utility extends to high-frequency trading, where order book dynamics and price impact are critical, allowing for refined execution strategies and improved risk assessment. Specifically, in options trading, it can capture clustering of trades around specific strike prices or expiration dates, informing volatility surface construction and pricing models. This framework provides a nuanced understanding of market microstructure, moving beyond assumptions of independent events.