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

Author

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  • Masaaki Fujii

    (Department of Economics, The University of Tokyo)

  • Akihiko Takahashi

    (Faculty of Economics, The University of Tokyo)

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, 2016. "A General Framework for the Benchmark pricing in a Fully Collateralized Market," CIRJE F-Series CIRJE-F-1000, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2016cf1000
    as

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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2016/2016cf1000.pdf
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    References listed on IDEAS

    as
    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.
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    Cited by:

    1. Nicola Moreni & Andrea Pallavicini, 2017. "Derivative Pricing With Collateralization And Fx Market Dislocations," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(06), pages 1-27, September.
    2. Kazuhiro Takino, 2022. "The impact of non-cash collateralization on the over-the-counter derivatives markets," Review of Derivatives Research, Springer, vol. 25(2), pages 137-171, July.

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