IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1508.04321.html
   My bibliography  Save this paper

FX Modelling in Collateralized Markets: foreign measures, basis curves, and pricing formulae

Author

Listed:
  • Nicola Moreni
  • Andrea Pallavicini

Abstract

We present a general derivation of the arbitrage-free pricing framework for multiple-currency collateralized products. We include the impact on option pricing of the policy adopted to fund in foreign currency, so that we are able to price contracts with cash flows and/or collateral accounts expressed in foreign currencies inclusive of funding costs originating from dislocations in the FX market. Then, we apply these results to price cross-currency swaps under different market situations, to understand how to implement a feasible curve bootstrap procedure. We present the main practical problems arising from the way the market is quoting liquid instruments: uncertainties about collateral currencies and renotioning features. We discuss the theoretical requirements to implement curve bootstrapping and the approximations usually taken to practically implement the procedure. We also provide numerical examples based on real market data.

Suggested Citation

  • 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.
    • Handle: RePEc:arx:papers:1508.04321
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1508.04321
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Baba, Naohiko & Packer, Frank, 2009. "From turmoil to crisis: Dislocations in the FX swap market before and after the failure of Lehman Brothers," Journal of International Money and Finance, Elsevier, vol. 28(8), pages 1350-1374, December.
    2. Naohiko Baba & Frank Packer & Teppei Nagano, 2008. "The spillover of money market turbulence to FX swap and cross-currency swap markets," BIS Quarterly Review, Bank for International Settlements, March.
    3. Damiano Brigo & Marco Francischello & Andrea Pallavicini, 2015. "Invariance, existence and uniqueness of solutions of nonlinear valuation PDEs and FBSDEs inclusive of credit risk, collateral and funding costs," Papers 1506.00686, arXiv.org, revised Nov 2015.
    4. Andrea Pallavicini & Daniele Perini & Damiano Brigo, 2012. "Funding, Collateral and Hedging: uncovering the mechanics and the subtleties of funding valuation adjustments," Papers 1210.3811, arXiv.org, revised Dec 2012.
    5. Niall Coffey & Warren B. Hrung & Asani Sarkar, 2009. "Capital constraints, counterparty risk, and deviations from covered interest rate parity," Staff Reports 393, Federal Reserve Bank of New York.
    6. 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.
    7. Fabio Filipozzi & Karsten Staehr, 2013. "Covered Interest Parity and the Global Financial Crisis in Four Central and Eastern European Countries," Eastern European Economics, Taylor & Francis Journals, vol. 51(1), pages 21-35, January.
    8. Andrea Pallavicini & Damiano Brigo, 2013. "Interest-Rate Modelling in Collateralized Markets: Multiple curves, credit-liquidity effects, CCPs," Papers 1304.1397, arXiv.org.
    9. Crystal Ossolinski & Andrew Zurawski, 2010. "The Financial Crisis through the Lens of Foreign Exchange Swap Markets," RBA Bulletin (Print copy discontinued), Reserve Bank of Australia, pages 47-53, June.
    10. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Takahiro Hattori, 2017. "Does swap-covered interest parity hold in long-term capital markets after the financial crisis?," Discussion papers ron293, Policy Research Institute, Ministry of Finance Japan.
    3. Stijn Claessens & M Ayhan Kose, 2017. "Asset prices and macroeconomic outcomes: a survey," BIS Working Papers 676, Bank for International Settlements.
    4. Giacomo Bormetti & Damiano Brigo & Marco Francischello & Andrea Pallavicini, 2018. "Impact of multiple curve dynamics in credit valuation adjustments under collateralization," Quantitative Finance, Taylor & Francis Journals, vol. 18(1), pages 31-44, January.
    5. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    6. Choi, Hanbok & Eom, Young Ho & Jang, Woon Wook & Kim, Don H., 2017. "Covered interest parity deviation and counterparty default risk: U.S. Dollar/Korean Won FX swap market," Pacific-Basin Finance Journal, Elsevier, vol. 44(C), pages 47-63.
    7. Miroslav Titze, 2016. "Federal Reserve Swap Lines - International Lender of the Last Resort [Swapové linky federálneho rezervného systému - medzinárodný veriteľ poslednej inštancie]," Acta Oeconomica Pragensia, Prague University of Economics and Business, vol. 2016(4), pages 3-23.
    8. Gee Hee Hong & Anne Oeking & Kenneth H. Kang & Changyong Rhee, 2021. "What Do Deviations from Covered Interest Parity and Higher FX Hedging Costs Mean for Asia?," Open Economies Review, Springer, vol. 32(2), pages 361-394, April.
    9. Yang Chang, 2014. "A Consistent Approach to Modelling the Interest Rate Market Anomalies Post the Global Financial Crisis," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2014.
    10. Erik Schlogl & Yang Chang, 2012. "Carry Trade and Liquidity Risk: Evidence from Forward and Cross-Currency Swap Markets," Research Paper Series 310, Quantitative Finance Research Centre, University of Technology, Sydney.
    11. William A. Allen & Gabriele Galati & Richhild Moessner & William Nelson, 2017. "Central bank swap lines and CIP deviations," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 22(4), pages 394-402, October.
    12. Damiano Brigo & Andrea Pallavicini, 2014. "CCP Cleared or Bilateral CSA Trades with Initial/Variation Margins under credit, funding and wrong-way risks: A Unified Valuation Approach," Papers 1401.3994, arXiv.org.
    13. Matthieu Bussière & Menzie Chinn & Laurent Ferrara & Jonas Heipertz, 2022. "The New Fama Puzzle," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 70(3), pages 451-486, September.
    14. Bottazzi, Jean-Marc & Luque, Jaime & Pascoa, Mario R. & Sundaresan, Suresh, 2011. "The dollar squeeze of the financial crisis," UC3M Working papers. Economics we1139, Universidad Carlos III de Madrid. Departamento de Economía.
    15. Fukuda, Shin-ichi & Tanaka, Mariko, 2017. "Monetary policy and covered interest parity in the post GFC period: Evidence from the Australian dollar and the NZ dollar," Journal of International Money and Finance, Elsevier, vol. 74(C), pages 301-317.
    16. Damiano Brigo & Qing Liu & Andrea Pallavicini & David Sloth, 2014. "Nonlinear Valuation under Collateral, Credit Risk and Funding Costs: A Numerical Case Study Extending Black-Scholes," Papers 1404.7314, arXiv.org.
    17. Tianyang Nie & Marek Rutkowski, 2016. "A BSDE approach to fair bilateral pricing under endogenous collateralization," Finance and Stochastics, Springer, vol. 20(4), pages 855-900, October.
    18. Gorton, Gary & Metrick, Andrew, 2012. "Securitized banking and the run on repo," Journal of Financial Economics, Elsevier, vol. 104(3), pages 425-451.
    19. Moinas, Sophie & Nguyen, Minh & Valente, Giorgio, 2017. "Funding Constraints and Market Illiquidity in the European Treasury Bond Market," TSE Working Papers 17-814, Toulouse School of Economics (TSE).
    20. De Socio, Antonio, 2013. "The interbank market after the financial turmoil: Squeezing liquidity in a “lemons market” or asking liquidity “on tap”," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1340-1358.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1508.04321. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.