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A Framework for Collateral Risk Control Determination

  • Didier Cossin

    (HEC-University of Lausanne, FAME and IMD)

  • Zhijiang Huang

    (HEC-University of Lausanne and FAME)

  • Daniel Aunon-Nerin

    (HEC-University of Lausanne and FAME)

  • Fer nando González

    (European Central Bank,Risk Management Division)

Registered author(s):

    This paper derives a general framework for collateral risk control determination in repurchase transactions or repos. The objective is to treat consistently heterogeneous collateral so that the collateral taker has a similar risk exposure whatever the collateral pledged. The framework measures the level of risk with the probability of incurring a loss higher than a prespeci?ed level given two well-known parameters used to manage the intrinsic risk of collateral: marking to market and haircuts. It allows for the analysis in a self-contained closed form of the way in which different relevant factors interact in the risk control of collateral (e.g.marking to market frequency, level of volatility of interest rates, time to capture and liquidity risk,probability of default of counterparty,etc.). The framework,which combines the recent theoretical literature on credit and interest risk, provides an alternative quanti ?able and objective approach to the existing more ad-hoc rule-based methods used in haircut determination.

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    Paper provided by International Center for Financial Asset Management and Engineering in its series FAME Research Paper Series with number rp61.

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    Date of creation: Dec 2002
    Date of revision:
    Handle: RePEc:fam:rpseri:rp61
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    1. Farshid Jamshidian, 1997. "LIBOR and swap market models and measures (*)," Finance and Stochastics, Springer, vol. 1(4), pages 293-330.
    2. Lotz, Christopher & Schlogl, Lutz, 2000. "Default risk in a market model," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 301-327, January.
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    4. Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    5. Nobuhiro Kiyotaki & John Moore, 1995. "Credit Cycles," NBER Working Papers 5083, National Bureau of Economic Research, Inc.
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    9. Duffie, Darrell & Singleton, Kenneth J, 1997. " An Econometric Model of the Term Structure of Interest-Rate Swap Yields," Journal of Finance, American Finance Association, vol. 52(4), pages 1287-1321, September.
    10. Chen, Nan-Kuang, 2001. "Bank net worth, asset prices and economic activity," Journal of Monetary Economics, Elsevier, vol. 48(2), pages 415-436, October.
    11. Alan Brace & Dariusz G�atarek & Marek Musiela, 1997. "The Market Model of Interest Rate Dynamics," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 127-155.
    12. Robert A. Jarrow, 2001. "Counterparty Risk and the Pricing of Defaultable Securities," Journal of Finance, American Finance Association, vol. 56(5), pages 1765-1799, October.
    13. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    14. Bester, Helmut, 1987. "The role of collateral in credit markets with imperfect information," European Economic Review, Elsevier, vol. 31(4), pages 887-899, June.
    15. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
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