# Existence of L\'evy term structure models

## TL;DR

This paper rigorously proves the existence and uniqueness of solutions for Le9vy driven Heath-Jarrow-Morton type term structure models, filling a gap in the mathematical finance literature.

## Contribution

It provides the first complete proof of existence and uniqueness for these models, advancing theoretical understanding.

## Key findings

- Established existence and uniqueness of solutions
- Clarified mathematical properties of Le9vy driven models
- Enhanced theoretical foundation for future research

## Abstract

L\'evy driven term structure models have become an important subject in the mathematical finance literature. This paper provides a comprehensive analysis of the L\'evy driven Heath-Jarrow-Morton type term structure equation. This includes a full proof of existence and uniqueness in particular, which seems to have been lacking in the finance literature so far.