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A framework for collateral risk control determination

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  • Cossin, Didier
  • Huang, Zhijiang
  • Auron-Nerin, Daniel
  • González, Fernando
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    Abstract

    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 pre-specified 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 quantifiable and objective approach to the existing more ad-hoc rule-based methods used in hair cut determination. JEL Classification: E50, E58, G21, G10

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    Bibliographic Info

    Paper provided by European Central Bank in its series Working Paper Series with number 0209.

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    Date of creation: Jan 2003
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    Handle: RePEc:ecb:ecbwps:20030209

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    1. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-86, March.
    2. 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.
    3. Furfine, Craig H & Stehm, Jeff, 1998. "Analyzing Alternative Intraday Credit Policies in Real-Time Gross Settlement Systems," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 30(4), pages 832-48, November.
    4. Jarrow, Robert A & Lando, David & Turnbull, Stuart M, 1997. "A Markov Model for the Term Structure of Credit Risk Spreads," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 481-523.
    5. 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.
    6. Sanjiv R. Das, 1998. "Poisson-Guassian Processes and the Bond Markets," NBER Working Papers 6631, National Bureau of Economic Research, Inc.
    7. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-70, May.
    8. 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.
    9. Nyborg, Kjell G. & Strebulaev, Ilya A., 2001. "Collateral and short squeezing of liquidity in fixed rate tenders," Journal of International Money and Finance, Elsevier, vol. 20(6), pages 769-792, November.
    10. Lotz, Christopher & Schlogl, Lutz, 2000. "Default risk in a market model," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 301-327, January.
    11. 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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    Cited by:
    1. Ascari, Guido & Rankin, Neil, 2007. "Perpetual youth and endogenous labor supply: A problem and a possible solution," Journal of Macroeconomics, Elsevier, vol. 29(4), pages 708-723, December.
    2. Jiali Liao & Ted Theodosopoulos, 2005. "Study on optimal timing of mark-to-market for contingent credit risk control," Papers math/0506077, arXiv.org.

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