This paper proposes a jump-diffusion model, in closed form, to price corporate debt securities, senior and junior, with the same maturity and violation of the absolute priority rule. We take the structural approach that the firm's asset value follows a jump-diffusion process in a stochastic...

This paper studies numerical procedures for the Hull-White extended Vasicek model. The purpose of this paper is two- fold. The first is to elaborate the procedure of Hull and White (1994). We obtain the shift function directly from the initial term structure without any calculation on a tree....

We consider the general n-factor Heath, Jarrow, and Morton model (1992) and provide a sufficient condition on the volatility structure for the spot rate process to be Markovian with 2n state variables. The price of a discount bond is also Markovian with the same state variables and, hence,...

Hull and White (1993) considered a general one-factor interest rate model and developed a numerical procedure involving the use of trinomial trees so that the model is consistent with initial market data. Their procedure is very effective for some particular types of volatility functions, but...

We advance a model of the tradable permit market and derive a pricing formula for contingent claims traded in the market in a general equilibrium framework. It is shown that prices of such contingent claims exhibit significantly different properties from those in the ordinary financial markets....

Funahashi and Kijima (in press, A chaos expansion approach for the pricing of contingent claims, <italic>Journal of Computational Finance</italic>) have proposed an approximation method based on the Wiener--Ito chaos expansion for the pricing of European-style contingent claims. In this paper, we extend the...

We propose a structural model with a joint process of tangible assets (marker) and firm status for the pricing of corporate securities. The firm status is assumed to be latent or unobservable, and default occurs when the firm status process reaches a default threshold at the first time. The...