What is the natural scale for a L\'evy process in modelling term structure of interest rates?

This paper gives examples of explicit arbitrage-free term structure models with L\'evy jumps via state price density approach. By generalizing quadratic Gaussian models, it is found that the probability density function of a L\'evy process is a "natural" scale for the process to be the state variable of a market.

Generalizations of Ho-Lee's binomial interest rate model I: from one- to multi-factor

In this paper a multi-factor generalization of Ho-Lee model is proposed. In sharp contrast to the classical Ho-Lee, this generalization allows for those movements other than parallel shifts, while it still is described by a recombining tree, and is stationary to be compatible with principal component analysis. Based on the model, generalizations of duration-based hedging are proposed. A continuous-time limit of the model is also discussed.

Calibration of transparency risks: a note

The aim of this research is to give a simple framework to evaluate/quantize the "transparency" of a firm. We assume that the process of the firm value is only observable once in a while but is strongly correlated with the stock price which is observable and tradable. This hybrid type structure make the transparency "observable". The implication of the present study is that the depth of the shock to the market caused by the precise accounting information does reflect the degree of transparency. Furthermore, it can be quantized resorting to the calibration method.