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A heuristic pricing and hedging framework for multi-currency fixed income desks

Author

Listed:
  • Eduard Gim'enez
  • Alberto Elices
  • Giovanna Villani

Abstract

It is well known that traded foreign exchange forwards and cross currency swaps (CCS) cannot be priced applying overnight cash and carry arguments as they imply absence of funding advantage of one currency to the other. This paper proposes a heuristic present value concept for multi-currency pricing and hedging which allows taking into account the funding and therefore the collateral currency and its pricing impact. For uncollateralized operations, it provides more funding optionality to achieve either cheaper or more connected funding to the hedging instruments. When foreign exchange forwards get aligned with overnight cash and carry arguments, this method naturally converges to the well established OIS discounting where each leg is funded in its own currency. A worked example compares this approach with a benchmark.

Suggested Citation

  • Eduard Gim'enez & Alberto Elices & Giovanna Villani, 2014. "A heuristic pricing and hedging framework for multi-currency fixed income desks," Papers 1406.1811, arXiv.org, revised Jan 2017.
    • Handle: RePEc:arx:papers:1406.1811
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    File URL: http://arxiv.org/pdf/1406.1811
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    References listed on IDEAS

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    1. Henrard, Marc, 2007. "The irony in the derivatives discounting," MPRA Paper 3115, University Library of Munich, Germany.
    2. Masaaki Fujii & Yasufumi Shimada & Akihiko Takahashi, 2009. "A Note on Construction of Multiple Swap Curves with and without Collateral," CARF F-Series CARF-F-154, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Jan 2010.
    3. Marco Bianchetti, 2009. "Two Curves, One Price: Pricing & Hedging Interest Rate Derivatives Decoupling Forwarding and Discounting Yield Curves," Papers 0905.2770, arXiv.org, revised Jul 2012.
    4. 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," CIRJE F-Series CIRJE-F-698, CIRJE, Faculty of Economics, University of Tokyo.
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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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