Accurate computation of Greeks for equity-linked security (ELS) near early redemption dates

초록

This study presents a numerical method for accurately computing the option values and Greeks of equity-linked securities (ELS) near early redemption dates. The Black–Scholes (BS) equation is solved using the finite difference method (FDM), and a Dirichlet boundary condition is applied at strike prices instead of directly replacing option values above the strike price with predefined option prices. This approach improves the accuracy of option pricing, particularly in the presence of early redemption structures. The proposed method is demonstrated to be effective in computing Greeks, which are crucial for risk management and hedging strategies in ELS markets. The computational tests validate the reliability of the method in capturing the sensitivities of ELS prices to various market factors. © 2025 the Author(s), licensee AIMS Press.

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