Credit Risks of Interest Rate Swaps: A Comparative Study of CIR and Monte Carlo Simulation Approach

  • Victor Fang
  • Vincent C. S. Lee
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3177)


This paper compares the credit risk profile for two types of model, the Monte Carlo model used in the existing literature, and the Cox, Ingersoll and Ross (CIR) model. Each of the profiles has a concave or hump-backed shape, reflecting the amortisation and diffusion effects. However, the CIR model generates significantly different results. In addition, we consider the sensitivity of these models of credit risk to initial interest rates, volatility, maturity, kappa and delta. The results show that the sensitivities vary across the models, and we explore the meaning of that variation.


Credit risk profile Interest Rate Models Monte Carlo Method 


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  1. 1.
    Basle Committee on Banking Supervision (1994), ‘Basle Capital Accord: the capital treatment of the Credit Risk associated with certain Off-balance sheet items’, BIS (July 1994)Google Scholar
  2. 2.
    Bicksler, Chen: An Economic Analysis of Interest Rate Swaps. Journal of Finance 41, 645–655 (1986)CrossRefGoogle Scholar
  3. 3.
    Bond, Murphy, G., Robinson, G.: Potential Credit Exposure on Interest Rate Swaps Working Paper, Bank of England (1994) Google Scholar
  4. 4.
    Cox, Ingersoll, Ross: A Theory of the Term Structure of Interest Rates. Econometrica 53(2) (March 1985)Google Scholar
  5. 5.
    Federal Reserve Board and Bank of England, Potential Credit Exposure on Interest Rate and Foreign exchange Rate related Instruments Unpublished staff paper (1987)Google Scholar
  6. 6.
    Ferran, Handjinicolaou: Understanding Swaps Credit Risk: The Simulation Approach. Journal of International Securities markets, 135–148 (1987)Google Scholar
  7. 7.
    Gupta, A., Subrahmanyam, M.G.: An empirical Examination of the Convexity Bias in the pricing of interest rate swaps. Journal of Financial Economics 55, 239–279 (2000)CrossRefGoogle Scholar
  8. 8.
    Hull, J.: Assessing Credit Risk in a Financial Institution’s Off-balance Sheet Commitments. Journal of Financial and Quantitative Analysis 24, 489–501 (1989)CrossRefGoogle Scholar
  9. 9.
    Hull, J.: Options, Futures, and Other Derivative Securities. Prentice-Hall International, Englewood Cliffs (2001)Google Scholar
  10. 10.
    Kloeden, Platen, P.E., Schurz, H.: The numerical solution of Non-Linear Stochastic Dynamical Systems: A Brief Introduction. International Journal of Bifurcation and Chaos 1 (1991)Google Scholar
  11. 11.
    Simons, K.: Interest Rate Structure and the Credit risk of Swaps. New England Economic Review (August 1993)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Victor Fang
    • 1
  • Vincent C. S. Lee
    • 2
  1. 1.Department of Accounting and Finance, Faculty of Business and EconomicsMonash University 
  2. 2.School of Business Systems, Faculty of Information TechnologyMonash University 

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