This article provides a closed-form valuation formula for the Black-Scholes options subject to interest rate risk and credit risk. Not only does our model allow for the possible default of the option issuer prior to the option's maturity, but also considers the correlations among the option...

This paper presents a contingent claim valuation of a callable convertible bond with the issuer's credit risk. The optimal call, voluntary conversion and bankruptcy strategies are jointly determined by shareholders and bondholders to maximize the equity value and the bond value, respectively....

Valuing mortgage-related securities is more complicated than valuing regular defaultable claims due to the borrower's prepayment behavior as well as the possibility of default. Some researchers use a structural-form model to obtain the closed-form formulas for the mortgage value. With this...