Binary Decision Diagrams

Algorithm

Binary Decision Diagrams represent a directed acyclic graph structure utilized for efficiently encoding Boolean functions, finding application in the valuation of multi-path contingent claims common in cryptocurrency derivatives. Their computational efficiency stems from sharing common sub-expressions, reducing the memory footprint required for complex option pricing models, particularly those involving American-style exercise features. Within financial engineering, these diagrams facilitate the decomposition of high-dimensional problems into manageable sub-problems, enabling faster Monte Carlo simulations for exotic options. The inherent structure allows for sensitivity analysis, revealing critical points in payoff profiles and informing hedging strategies.