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

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  • 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 Consequently, pre-crisis models are no longer valid.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
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    References listed on IDEAS

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    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.
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