Continuous-Time Market

Market

A continuous-time market, within the context of cryptocurrency derivatives and financial engineering, represents a theoretical framework where asset pricing and trading activity are modeled as occurring constantly, rather than at discrete points in time. This contrasts with traditional discrete-time models, which assume transactions happen only at predetermined intervals. The concept is particularly relevant for options pricing, volatility modeling, and risk management strategies involving instruments like perpetual swaps and futures contracts, where time horizons are extended and frequent rebalancing is essential. Consequently, sophisticated mathematical tools, often derived from stochastic calculus, are employed to analyze and price assets in such environments.