A Closed-Form Approximation for Valuing European Basket Warrants under Credit Risk and Interest Rate Risk

Abstract

Over the past few years, many financial institutions have actively traded basket warrants in the over-the-counter market. Prior research has proposed an approach to valuing single-stock options subject to credit. However, this approach cannot be applied directly to the case of basket warrants. Using the martingale method, we propose a closed-form approximation for valuing European basket warrants using a continuous-time model, with credit risk and interest rate risk considered simultaneously. Finally, several numerical examples are utilized to demonstrate the characteristics of basket warrants under credit risk.