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arxiv: math/0612341 · v1 · submitted 2006-12-13 · 🧮 math.PR · q-fin.CP

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

classification 🧮 math.PR q-fin.CP
keywords processdensitymodelsnaturalscalestatestructureterm
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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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