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Reproducing kernel Hilbert space methods for modelling the discount curve

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  • Andreas Celary
  • Paul Kruhner
  • Zehra Eksi

Abstract

We consider the theory of bond discounts, defined as the difference between the terminal payoff of the contract and its current price. Working in the setting of finite-dimensional realizations in the HJM framework, under suitable notions of no-arbitrage, the admissible discount curves take the form of polynomial, exponential functions. We introduce reproducing kernels that are admissible under no-arbitrage as a tractable regression basis for the estimation problem in calibrating the model to market data. We provide a thorough numerical analysis using real-world treasury data.

Suggested Citation

  • Andreas Celary & Paul Kruhner & Zehra Eksi, 2025. "Reproducing kernel Hilbert space methods for modelling the discount curve," Papers 2506.03342, arXiv.org.
  • Handle: RePEc:arx:papers:2506.03342
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    File URL: http://arxiv.org/pdf/2506.03342
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