Under the assumption of information asymmetry between market investors and firm managers, a reduced form model of a firm is developed in order to derive optimal investment strategies and capital structures while taking into account the effects of dividend policies and taxes. The motivation of...

In this paper, by applying the potential approach to characterizing default risk, a class of simple affine and quadratic models is presented to provide a unifying framework of valuing both risk-free and defaultable bonds. It has been shown that the established models can accommodate the existing...

Nonlinear filtering techniques and the quasi maximum likelihood estimator (QMLE) are applied to the problem of estimating the parameters of quadratic models for the term structure of interest rates. It is assumed that zero coupon bond yields data have been contaminated by noise, which allows the...

In this paper we examine a consistency problem for a multi-factor jump diffusion model. First we bridge a gap between a jump-diffusion model and a generalized Heath-Jarrow-Morton (HJM) model, and bring a multi- factor jump-diffusion model into the HJM framework. By applying the drift condition...

In this paper, a class of regular quadratic Gaussian processes is defined to characterize quadratic term structure models (QTSMs) in a general Markovian setting. The primary motivation for this definition is to provide a more general model for the quadratic term structure of the forward curve,...

Given an Heath-Jarrow-Morton (HJM) interest rate model and a parametrized family of finite dimensional forward rate curves, this paper provides us a way to project this infinite dimensional HJM forward rate curve to the finite dimensional manifold. This projection characterizes banks' behavior...