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A New Model for Pricing Collateralized Financial Derivatives

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  • Tim Xiao

Abstract

This paper presents a new model for pricing financial derivatives subject to collateralization. It allows for collateral arrangements adhering to bankruptcy laws. As such, the model can back out the market price of a collateralized contract. This framework is very useful for valuing outstanding derivatives. Using a unique dataset, we find empirical evidence that credit risk alone is not overly important in determining credit-related spreads. Only accounting for both collateral posting and credit risk can sufficiently explain unsecured credit costs. This finding suggests that failure to properly account for collateralization may result in significant mispricing of derivatives. We also empirically gauge the impact of collateral agreements on risk measurements. Our findings indicate that there are important interactions between market and credit risk.

Suggested Citation

  • Tim Xiao, 2018. "A New Model for Pricing Collateralized Financial Derivatives," Papers 1805.11981, arXiv.org.
    • Handle: RePEc:arx:papers:1805.11981
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    References listed on IDEAS

    as
    1. Michael Johannes & Suresh Sundaresan, 2007. "The Impact of Collateralization on Swap Rates," Journal of Finance, American Finance Association, vol. 62(1), pages 383-410, February.
    2. Hua He, 2000. "Modeling Term Structures of Swap Spreads," Yale School of Management Working Papers ysm150, Yale School of Management, revised 01 Mar 2001.
    3. Xiao, Tim, 2011. "An Efficient Lattice Algorithm for the LIBOR Market Model," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 19(1), pages 25-40.
    4. Jun Liu & Francis A. Longstaff & Ravit E. Mandell, 2006. "The Market Price of Risk in Interest Rate Swaps: The Roles of Default and Liquidity Risks," The Journal of Business, University of Chicago Press, vol. 79(5), pages 2337-2360, September.
    5. Xiao, Tim, 2013. "An Accurate Solution for Credit Value Adjustment (CVA) and Wrong Way Risk," MPRA Paper 47104, University Library of Munich, Germany.
    6. Xiao, Tim, 2015. "An Accurate Solution for Credit Valuation Adjustment (CVA) and Wrong Way Risk," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 25(1), pages 84-95.
    7. Mark Grinblatt, 2001. "An Analytic Solution for Interest Rate Swap Spreads," International Review of Finance, International Review of Finance Ltd., vol. 2(3), pages 113-149, September.
    8. Pierre Collin‐Dufresne & Bruno Solnik, 2001. "On the Term Structure of Default Premia in the Swap and LIBOR Markets," Journal of Finance, American Finance Association, vol. 56(3), pages 1095-1115, June.
    9. Tim Xiao, 2015. "An Accurate Solution for Credit Valuation Adjustment and Wrong Way Risk," Post-Print hal-01810490, HAL.
    10. Feldhütter, Peter & Lando, David, 2008. "Decomposing swap spreads," Journal of Financial Economics, Elsevier, vol. 88(2), pages 375-405, May.
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    Cited by:

    1. Xiao,Tim, 2018. "Pricing Financial Derivatives Subject to Multilateral Credit Risk and Collateralization," EconStor Preprints 202075, ZBW - Leibniz Information Centre for Economics.
    2. Xiao, Tim, 2018. "The Valuation of Credit Default Swap with Counterparty Risk and Collateralization," EconStor Preprints 203447, ZBW - Leibniz Information Centre for Economics.

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    More about this item

    JEL classification:

    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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