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A framework for collateral risk control determination

Author

Listed:
  • Cossin, Didier
  • González, Fernando
  • Huang, Zhijiang
  • Backé, Peter

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

Suggested Citation

  • Cossin, Didier & González, Fernando & Huang, Zhijiang & Backé, Peter, 2003. "A framework for collateral risk control determination," Working Paper Series 209, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:2003209
    Note: 338288
    as

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    File URL: https://www.ecb.europa.eu//pub/pdf/scpwps/ecbwp209.pdf
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    References listed on IDEAS

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    1. Henri Pagès, 2001. "Can liquidity risk be subsumed in credit risk? A case study from Brady bond prices," BIS Working Papers 101, Bank for International Settlements.
    2. repec:zbw:bofrdp:2000_002 is not listed on IDEAS
    3. Sanjiv R. Das, 1998. "Poisson-Guassian Processes and the Bond Markets," NBER Working Papers 6631, National Bureau of Economic Research, Inc.
    4. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    5. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453, World Scientific Publishing Co. Pte. Ltd..
    6. Lotz, Christopher & Schlogl, Lutz, 2000. "Default risk in a market model," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 301-327, January.
    7. 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.
    8. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    9. 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 449-470, May.
    10. 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 832-848, November.
    11. Robert A. Jarrow & Fan Yu, 2008. "Counterparty Risk and the Pricing of Defaultable Securities," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 20, pages 481-515, World Scientific Publishing Co. Pte. Ltd..
    12. 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.
    13. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
    14. Hirsa, Ali & Neftci, Salih N., 2013. "An Introduction to the Mathematics of Financial Derivatives," Elsevier Monographs, Elsevier, edition 3, number 9780123846822.
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    Citations

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    Cited by:

    1. Anouk Levels & Jeannette Capel, 2012. "Is Collateral Becoming Scarce? Evidence for the euro area," DNB Occasional Studies 1001, Netherlands Central Bank, Research Department.
    2. Jialu Ji & Hongxing Zheng & Jia Qi & Mingjun Ji & Lingrui Kong & Shengzhong Ji, 2023. "Financial and Logistical Service Strategy of Third-Party Logistics Enterprises in Cross-Border E-Commerce Environment," Sustainability, MDPI, vol. 15(8), pages 1-20, April.
    3. Ran Zhang & Jing Zhang & Shuang Xu, 2015. "Determining pledged loan-to-value ratio: an option pricing perspective," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 1(1), pages 1-13, December.
    4. Hui Zhang & Wenyu Meng & Xiaojie Wang & Jianwei Zhang, 2017. "Application of BSDE in Standard Inventory Financing Loan," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-6, June.
    5. 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.
    6. 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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    More about this item

    Keywords

    central banks; collateral; Default risk; monetary policy operations; repurchase transactions;
    All these keywords.

    JEL classification:

    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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