What is the natural scale for a Lévy process in modelling term structure of interest rates?

Mathematics – Probability

Scientific paper

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Scientific paper

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.

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