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Term structure modeling for multiple curves with stochastic discontinuities

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  • Claudio Fontana
  • Zorana Grbac
  • Sandrine Gumbel
  • Thorsten Schmidt

Abstract

We develop a general term structure framework taking stochastic discontinuities explicitly into account. Stochastic discontinuities are a key feature in interest rate markets, as for example the jumps of the term structures in correspondence to monetary policy meetings of the ECB show. We provide a general analysis of multiple curve markets under minimal assumptions in an extended HJM framework and provide a fundamental theorem of asset pricing based on NAFLVR. The approach with stochastic discontinuities permits to embed market models directly, unifying seemingly different modeling philosophies. We also develop a tractable class of models, based on affine semimartingales, going beyond the requirement of stochastic continuity.

Suggested Citation

  • Claudio Fontana & Zorana Grbac & Sandrine Gumbel & Thorsten Schmidt, 2018. "Term structure modeling for multiple curves with stochastic discontinuities," Papers 1810.09882, arXiv.org, revised Dec 2019.
    • Handle: RePEc:arx:papers:1810.09882
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    References listed on IDEAS

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    Cited by:

    1. Karol Gellert & Erik Schlogl, 2021. "Short Rate Dynamics: A Fed Funds and SOFR Perspective," Research Paper Series 420, Quantitative Finance Research Centre, University of Technology, Sydney.

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