Monte Carlo Price Simulation

Algorithm

A Monte Carlo Price Simulation leverages random sampling to model the probability of various outcomes within a given system, particularly valuable when analytical solutions are intractable. Within cryptocurrency derivatives, this technique estimates future price paths by generating numerous random scenarios based on defined statistical distributions, such as Brownian motion or jump-diffusion processes. The core of the algorithm involves repeatedly simulating asset price movements and calculating the resulting option payoff, ultimately providing a distribution of potential option values. This approach is especially useful for pricing complex derivatives with path-dependent features, where traditional Black-Scholes models are insufficient.