Risk Hedging Logic and Theoretical Boundary of Options and Futures Instruments
Against the background of increasing volatility and complex risk factors in global markets, options and futures have become important instruments for risk hedging and uncertainty management. This paper systematically explores the risk hedging logic of options and futures, clarifies their theoretical boundaries and applicable constraints, and discusses feasible paths for stock market risk mitigation. First, based on financial derivatives theory, the internal mechanisms of directional hedging using futures and structured hedging using options are analyzed. Second, the theoretical boundaries of the two instruments are defined from the perspectives of pricing model assumptions, market efficiency requirements, and risk factor coverage. Furthermore, empirical analysis is conducted using data from major global stock indexes and derivatives markets to verify hedging effectiveness under different market environments. Finally, a multidimensional risk mitigation framework integrating tool matching, strategy optimization, and regulatory coordination is constructed. The findings provide theoretical support for quantitative risk management and offer analytical references for uncertainty modeling, dynamic response mechanisms, and information propagation in complex engineering systems.