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...

In this paper, the treasury rates and the credit migrations are jointly modeled by multi-dimensional affine processes. In order to capture the entire information, including credit migrations and default events, we construct non-conservative regular affine processes to model credit migrations and...

We develop a general and efficient method for valuating credit derivatives based on multiple entities in an affine framework. This includes interdependence of market and credit risk, joint credit migration and counterparty default risk of multiple firms. As an application we provide closed form...

In this paper, we define a strongly regular quadratic Gaussian process to characterize quadratic term structure models (QTSMs) in a general Markov setting. The key of this definition is to keep the analytical tractability of QTSMs which has the quadratic term structure of the yield curve. In...

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...

We propose and examine a simple model for credit migration and spread curves of a single firm both under the real-world and the risk-neutral measure. This model is a hybrid of a structural and a reduced-form model. Default is triggered either by successive downgradings of the firm or an...

In this paper, we develop a generalized affine model to characterize correlated credit risk of multi-firms. When valuing credit derivatives, this new approach allows to incorporate correlative market and credit risk, interdependent default risk structure and counterparty risk into consideration....