Die Bedeutung der Mean-Reversion von Zinsprozessen für Optionswerte: Das Beispiel der Korridor-Zinsoption

Despite its well-known limitations, the Black's model is often used in practice to value interest rate derivatives. The aim of this article is to analyze whether the Black's approach, which models one specific forward rate rather than the whole yield curve, is also an appropriate solution for valuing interest rate range warrants. As the buyer of such a security is entitled to a payment at maturity with an amount depending on the number of the days the reference interest rate lies within a specified range, the value of this instrument depends intuitively on the intensity of mean-reversion in interest rates. The valuation results of the Black's model, which does not reflect the mean-reversion observed in the interest rate data, are compared with the results of a more sophisticated approach.