IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1703.00923.html
   My bibliography  Save this paper

Pricing of Mexican Interest Rate Swaps in Presence of Multiple Collateral Currencies

Author

Listed:
  • Jorge Inigo

Abstract

The financial crisis of 2007/08 caused catastrophic consequences and brought a bunch of changes around the world. Interest rates that were known to follow or behave similarly of each other diverged. Furthermore, the regulation and in particular the counterparty credit risk began to to be considered and quantified. Consequently, pre-crisis models are no longer valid. Indeed, this work sets the basis to define a valid model that considers the post-crisis world assumptions for the Mexican swap market. The model used in this work was the proposed by Fujii, Shimada and Takahashi in [Fujii et. al., 2010b]. This model allow us to value interest rate derivatives and future cash flows with the existence of a collateral agreement (with a collateral currency). In this document we build the discounting and projection curves for MXN interest rate derivatives considering the collateral currencies: USD, EUR and MXN. Also, we present the pricing when the derivative is uncollateralized. Finally, we show the effect of the cross-currency swaps when valuing through different collateral currencies.

Suggested Citation

  • Jorge Inigo, 2017. "Pricing of Mexican Interest Rate Swaps in Presence of Multiple Collateral Currencies," Papers 1703.00923, arXiv.org.
    • Handle: RePEc:arx:papers:1703.00923
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1703.00923
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rajdeep Sengupta & Yu Man Tam, 2008. "The LIBOR-OIS spread as a summary indicator," Monetary Trends, Federal Reserve Bank of St. Louis, issue Nov.
    2. Uri Ron, 2000. "A Practical Guide to Swap Curve Construction," Staff Working Papers 00-17, Bank of Canada.
    3. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    4. Andrea Pallavicini & Marco Tarenghi, 2010. "Interest-Rate Modeling with Multiple Yield Curves," Papers 1006.4767, arXiv.org.
    5. John C. Robertson & Daniel L. Thornton, 1997. "Using federal funds futures rates to predict Federal Reserve actions," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 45-53.
    Full references (including those not matched with items on IDEAS)

    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. Grass, Gunnar, 2010. "The impact of conglomeration on the option value of equity," Journal of Banking & Finance, Elsevier, vol. 34(12), pages 3010-3024, December.
    2. Kau, James B. & Keenan, Donald C., 1999. "Patterns of rational default," Regional Science and Urban Economics, Elsevier, vol. 29(6), pages 765-785, November.
    3. Gady Jacoby & Chuan Liao & Jonathan A. Batten, 2007. "A Pure Test for the Elasticity of Yield Spreads," The Institute for International Integration Studies Discussion Paper Series iiisdp195, IIIS.
    4. Carol Alexandra & Leonardo M. Nogueira, 2005. "Optimal Hedging and Scale Inavriance: A Taxonomy of Option Pricing Models," ICMA Centre Discussion Papers in Finance icma-dp2005-10, Henley Business School, University of Reading, revised Nov 2005.
    5. Dankenbring, Henning, 1998. "Volatility estimates of the short term interest rate with an application to German data," SFB 373 Discussion Papers 1998,96, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    6. Norden, Lars, 2003. "Asymmetric option price distribution and bid-ask quotes: consequences for implied volatility smiles," Journal of Multinational Financial Management, Elsevier, vol. 13(4-5), pages 423-441, December.
    7. Leluc, Rémi & Portier, François & Zhuman, Aigerim & Segers, Johan, 2023. "Speeding up Monte Carlo Integration: Control Neighbors for Optimal Convergence," LIDAM Discussion Papers ISBA 2023019, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    8. Loncarski, I. & Ter Horst, J.R. & Veld, C.H., 2006. "Why do Companies issue Convertible Bond Loans? An Empirical Analysis for the Canadian Market," Discussion Paper 2006-65, Tilburg University, Center for Economic Research.
    9. Jun, Doobae & Ku, Hyejin, 2015. "Static hedging of chained-type barrier options," The North American Journal of Economics and Finance, Elsevier, vol. 33(C), pages 317-327.
    10. Thomas Kokholm & Martin Stisen, 2015. "Joint pricing of VIX and SPX options with stochastic volatility and jump models," Journal of Risk Finance, Emerald Group Publishing Limited, vol. 16(1), pages 27-48, January.
    11. Boyle, Glenn & Clyne, Stefan & Roberts, Helen, 2005. "Valuing Employee Stock Options: Implications for the Implementation of NZ IFRS 2," Working Paper Series 18949, Victoria University of Wellington, The New Zealand Institute for the Study of Competition and Regulation.
    12. Miller, M. & Weller, P., 1988. "Solving Stochastic Saddlepoint Systems: A Qualitative Treatment With Economic Applications," The Warwick Economics Research Paper Series (TWERPS) 309, University of Warwick, Department of Economics.
    13. Vorst, A. C. F., 1988. "Option Pricing And Stochastic Processes," Econometric Institute Archives 272366, Erasmus University Rotterdam.
    14. Antoine Jacquier & Patrick Roome, 2015. "Black-Scholes in a CEV random environment," Papers 1503.08082, arXiv.org, revised Nov 2017.
    15. Josh Lerner, 2002. "Where Does State Street Lead? A First Look at Finance Patents, 1971 to 2000," Journal of Finance, American Finance Association, vol. 57(2), pages 901-930, April.
    16. Boyarchenko, Svetlana & Levendorskii[caron], Sergei, 2007. "Optimal stopping made easy," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 201-217, February.
    17. Soedarmono, Wahyoe & Machrouh, Fouad & Tarazi, Amine, 2013. "Bank competition, crisis and risk taking: Evidence from emerging markets in Asia," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 23(C), pages 196-221.
    18. Jun Liu, 2004. "Losing Money on Arbitrage: Optimal Dynamic Portfolio Choice in Markets with Arbitrage Opportunities," The Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 611-641.
    19. Robert C. Merton, 2006. "Paul Samuelson and Financial Economics," The American Economist, Sage Publications, vol. 50(2), pages 9-31, October.
    20. Nikita Ratanov, 2008. "Option Pricing Model Based on a Markov-modulated Diffusion with Jumps," Papers 0812.0761, arXiv.org.

    More about this item

    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:1703.00923. 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.