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A General Framework for the Benchmark pricing in a Fully Collateralized Market

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  • Masaaki Fujii
  • Akihiko Takahashi

Abstract

Collateralization with daily margining has become a new standard in the post-crisis market. Although there appeared vast literature on a so-called multi-curve framework, a complete picture of a multi-currency setup with cross-currency basis can be rarely found since our initial attempts. This work gives its extension regarding a general framework of interest rates in a fully collateralized market. It gives a new formulation of the currency funding spread which is better suited for the general dependence. In the last half, it develops a discretization of the HJM framework with a fixed tenor structure, which makes it implementable as a traditional Market Model.

Suggested Citation

  • Masaaki Fujii & Akihiko Takahashi, 2015. "A General Framework for the Benchmark pricing in a Fully Collateralized Market," Papers 1508.06339, arXiv.org, revised Sep 2015.
    • Handle: RePEc:arx:papers:1508.06339
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    References listed on IDEAS

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    1. Masaaki Fujii & Yasufumi Shimada & Akihiko Takahashi, 2009. "A Market Model of Interest Rates with Dynamic Basis Spreads in the presence of Collateral and Multiple Currencies," CARF F-Series CARF-F-196, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Apr 2011.
    2. Erik Schlögl, 2002. "A multicurrency extension of the lognormal interest rate Market Models," Finance and Stochastics, Springer, vol. 6(2), pages 173-196.
    3. Akihiko Takahashi, 2015. "Asymptotic Expansion Approach in Finance," CARF F-Series CARF-F-356, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Aug 2015.
    4. Alan Brace & Dariusz G¸atarek & Marek Musiela, 1997. "The Market Model of Interest Rate Dynamics," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 127-155, April.
    5. Filipović, Damir & Trolle, Anders B., 2013. "The term structure of interbank risk," Journal of Financial Economics, Elsevier, vol. 109(3), pages 707-733.
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    Cited by:

    1. Nicola Moreni & Andrea Pallavicini, 2015. "FX Modelling in Collateralized Markets: foreign measures, basis curves, and pricing formulae," Papers 1508.04321, arXiv.org, revised Sep 2015.

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