1. The geometry of multi-curve interest rate models.
- Author
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Fontana, Claudio, Lanaro, Giacomo, and Murgoci, Agatha
- Subjects
- *
INTEREST rates , *GEOMETRIC approach , *NUMBER theory , *SPREAD (Finance) , *MODEL theory - Abstract
We study the problems of consistency and the existence of finite-dimensional realizations for multi-curve interest rate models of Heath–Jarrow–Morton type, generalizing the geometric approach developed by T. Björk and co-authors for the classical single-curve setting. We characterize when a multi-curve interest rate model is consistent with a given parameterized family of forward curves and spreads and when a model can be realized by a finite-dimensional state process. We illustrate the general theory in a number of model classes and examples, providing explicit constructions of finite-dimensional realizations. Based on these theoretical results, we perform the calibration of a three-curve Hull–White model to market data and analyse the stability of the estimated parameters. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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