IDEAS home Printed from https://ideas.repec.org/a/wsi/ijtafx/v20y2017i06ns0219024917500406.html
   My bibliography  Save this article

Derivative Pricing With Collateralization And Fx Market Dislocations

Author

Listed:
  • NICOLA MORENI

    (Quantitative Structuring, Banca IMI, Largo Mattioli, 3 Milan, 20121, Italy)

  • ANDREA PALLAVICINI

    (Department of Mathematics, Imperial College London, London SW7 2AZ, UK)

Abstract

We present a general derivation of an 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 foreign exchange 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, 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.
  • Handle: RePEc:wsi:ijtafx:v:20:y:2017:i:06:n:s0219024917500406
    DOI: 10.1142/S0219024917500406
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219024917500406
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0219024917500406?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Tommaso Mancini Griffoli & Angelo Ranaldo, 2010. "Limits to arbitrage during the crisis: funding liquidity constraints and covered interest parity," Working Papers 2010-14, Swiss National Bank.
    6. 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.
    7. 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.
    8. Masaaki Fujii & Akihiko Takahashi, 2016. "A general framework for the benchmark pricing in a fully collateralized market," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 1-30, September.
    9. 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.
    10. Naohiko Baba & Yasuaki Amatatsu, 2008. "Price discovery from cross-currency and FX swaps: a structural analysis," BIS Working Papers 264, Bank for International Settlements.
    11. Ms. Li L Ong & Ms. Bergljot B Barkbu, 2010. "FX Swaps: Implications for Financial and Economic Stability," IMF Working Papers 2010/055, International Monetary Fund.
    12. 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.
    13. 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.
    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. Alessandro Gnoatto & Nicole Seiffert, 2020. "Cross Currency Valuation and Hedging in the Multiple Curve Framework," Papers 2001.11012, arXiv.org, revised Mar 2021.
    2. Alessio Calvelli, 2022. "No-Arbitrage Pricing, Dynamics and Forward Prices of Collateralized Derivatives," Papers 2208.08746, arXiv.org, revised Jun 2024.
    3. Emanuele Nastasi & Andrea Pallavicini & Giulio Sartorelli, 2020. "Smile Modeling In Commodity Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 23(03), pages 1-28, May.
    4. Martino Grasselli & Andrea Mazzoran & Andrea Pallavicini, 2020. "A general framework for a joint calibration of VIX and VXX options," Papers 2012.08353, arXiv.org, revised Jun 2021.

    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, 2015. "FX Modelling in Collateralized Markets: foreign measures, basis curves, and pricing formulae," Papers 1508.04321, arXiv.org, revised Sep 2015.
    2. Stijn Claessens & M Ayhan Kose, 2017. "Asset prices and macroeconomic outcomes: a survey," BIS Working Papers 676, Bank for International Settlements.
    3. 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.
    4. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    5. 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.
    6. 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, March.
    7. 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.
    8. 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).
    9. Shin-ichi Fukuda, 2016. "Regional Liquidity Risk and Covered Interest Parity During the Global Financial Crisis: Evidence from Tokyo, London, and New York," International Economic Journal, Taylor & Francis Journals, vol. 30(3), pages 339-359, July.
    10. Claudio Borio & Robert Neil McCauley & Patrick McGuire & Vladyslav Sushko, 2016. "Covered interest parity lost: understanding the cross-currency basis," BIS Quarterly Review, Bank for International Settlements, September.
    11. Jeong, Daehee, 2010. "Margin and Funding Liquidity: An Empirical Analysis on the Covered Interest Parity in Korea," KDI Policy Studies 2010-01, Korea Development Institute (KDI).
    12. James Pinnington & Maral Shamloo, 2016. "Limits to Arbitrage and Deviations from Covered Interest Rate Parity," Discussion Papers 16-4, Bank of Canada.
    13. 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.
    14. Fukuda, Shin-ichi, 2016. "Strong sterling pound and weak European currencies in the crises: Evidence from covered interest parity of secured rates," Journal of the Japanese and International Economies, Elsevier, vol. 42(C), pages 109-122.
    15. Hattori, Takahiro, 2022. "Does the swap-covered interest parity still hold in long-term capital markets after the financial crisis? Evidence from cross-currency basis swaps," International Review of Economics & Finance, Elsevier, vol. 79(C), pages 224-240.
    16. Luna Azahara Romo González, 2016. "The drivers of European banks’ US dollar debt issuance: opportunistic funding in times of crisis?," Working Papers 1611, Banco de España.
    17. Vladyslav Sushko & Claudio Borio & Robert Neil McCauley & Patrick McGuire, 2016. "The failure of covered interest parity: FX hedging demand and costly balance sheets," BIS Working Papers 590, Bank for International Settlements.
    18. 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.
    19. 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.
    20. 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 18, July-Dece.

    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:wsi:ijtafx:v:20:y:2017:i:06:n:s0219024917500406. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijtaf/ijtaf.shtml .

    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.