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Counterparty credit risk and derivatives pricing

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  • Li, Gang
  • Zhang, Chu

Abstract

We derive a model with qualitative implications for options pricing under counterparty credit risk and provide empirical evidence using the data from the Hong Kong derivatives market during 2005–2014. We find that the log-price difference between a derivative warrant with counterparty credit risk and an otherwise identical option without counterparty credit risk is significantly and negatively associated with the credit default swap spread on the warrant issuer. We also find that the prices of out-of-the-money put warrants are more sensitive to credit risk than those of other warrants. Our results show counterparty credit risk matters for derivative pricing.

Suggested Citation

  • Li, Gang & Zhang, Chu, 2019. "Counterparty credit risk and derivatives pricing," Journal of Financial Economics, Elsevier, vol. 134(3), pages 647-668.
    • Handle: RePEc:eee:jfinec:v:134:y:2019:i:3:p:647-668
    DOI: 10.1016/j.jfineco.2019.04.011
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    as
    1. Pan, Jun, 2002. "The jump-risk premia implicit in options: evidence from an integrated time-series study," Journal of Financial Economics, Elsevier, vol. 63(1), pages 3-50, January.
    2. Fan Yu, 2007. "Correlated Defaults In Intensity‐Based Models," Mathematical Finance, Wiley Blackwell, vol. 17(2), pages 155-173, April.
    3. Peter Christoffersen & Kris Jacobs & Karim Mimouni, 2010. "Volatility Dynamics for the S&P500: Evidence from Realized Volatility, Daily Returns, and Option Prices," Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 3141-3189, August.
    4. 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.
    5. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    6. Chan, Yue-cheong & Wei, K. C. John, 2001. "Price and volume effects associated with derivative warrant issuance on the Stock Exchange of Hong Kong," Journal of Banking & Finance, Elsevier, vol. 25(8), pages 1401-1426, August.
    7. Jones, Christopher S., 2003. "The dynamics of stochastic volatility: evidence from underlying and options markets," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 181-224.
    8. Cooper, Ian A & Mello, Antonio S, 1991. "The Default Risk of Swaps," Journal of Finance, American Finance Association, vol. 46(2), pages 597-620, June.
    9. Johnson, Herb & Stulz, Rene, 1987. "The Pricing of Options with Default Risk," Journal of Finance, American Finance Association, vol. 42(2), pages 267-280, June.
    10. Cossin, Didier & Pirotte, Hugues, 1997. "Swap credit risk: An empirical investigation on transaction data," Journal of Banking & Finance, Elsevier, vol. 21(10), pages 1351-1373, October.
    11. Litzenberger, Robert H, 1992. "Swaps: Plain and Fanciful," Journal of Finance, American Finance Association, vol. 47(3), pages 831-850, July.
    12. Bjørn Eraker, 2004. "Do Stock Prices and Volatility Jump? Reconciling Evidence from Spot and Option Prices," Journal of Finance, American Finance Association, vol. 59(3), pages 1367-1404, June.
    13. Sun, Tong-sheng & Sundaresan, Suresh & Wang, Ching, 1993. "Interest rate swaps: An empirical investigation," Journal of Financial Economics, Elsevier, vol. 34(1), pages 77-99, August.
    14. Hull, John & White, Alan, 1995. "The impact of default risk on the prices of options and other derivative securities," Journal of Banking & Finance, Elsevier, vol. 19(2), pages 299-322, May.
    15. Mark Broadie & Mikhail Chernov & Michael Johannes, 2007. "Model Specification and Risk Premia: Evidence from Futures Options," Journal of Finance, American Finance Association, vol. 62(3), pages 1453-1490, June.
    16. Chen, K. C. & Wu, Lifan, 2001. "Introduction and expiration effects of derivative equity warrants in Hong Kong," International Review of Financial Analysis, Elsevier, vol. 10(1), pages 37-52.
    17. 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.
    18. Arora, Navneet & Gandhi, Priyank & Longstaff, Francis A., 2012. "Counterparty credit risk and the credit default swap market," Journal of Financial Economics, Elsevier, vol. 103(2), pages 280-293.
    19. Li, Gang & Zhang, Chu, 2013. "Diagnosing affine models of options pricing: Evidence from VIX," Journal of Financial Economics, Elsevier, vol. 107(1), pages 199-219.
    20. Li, Gang & Zhang, Chu, 2011. "Why Are Derivative Warrants More Expensive Than Options? An Empirical Study," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(1), pages 275-297, February.
    21. Zhang, Wenyang & Lee, Sik-Yum & Song, Xinyuan, 2002. "Local Polynomial Fitting in Semivarying Coefficient Model," Journal of Multivariate Analysis, Elsevier, vol. 82(1), pages 166-188, July.
    22. 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..
    23. Marti G. Subrahmanyam & Young Ho Eom & Jun Uno, 2000. "Credit Risk and the Pricing of Japanese Yen Interest Rate Swaps," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-069, New York University, Leonard N. Stern School of Business-.
    24. Klein, Peter, 1996. "Pricing Black-Scholes options with correlated credit risk," Journal of Banking & Finance, Elsevier, vol. 20(7), pages 1211-1229, August.
    25. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    26. Li, Xindan & Subrahmanyam, Avanidhar & Yang, Xuewei, 2018. "Can financial innovation succeed by catering to behavioral preferences? Evidence from a callable options market," Journal of Financial Economics, Elsevier, vol. 128(1), pages 38-65.
    27. Duffie, Darrell & Huang, Ming, 1996. "Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-949, July.
    28. Bates, David S., 2000. "Post-'87 crash fears in the S&P 500 futures option market," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 181-238.
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    Cited by:

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    4. Xuejun Jin & Jingyu Zhao & Xingguo Luo, 2022. "Why are the prices of European‐style derivatives greater than the prices of American‐style derivatives?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(9), pages 1772-1793, September.
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    6. Che Guo & Xingchun Wang, 2022. "Pricing vulnerable options under correlated skew Brownian motions," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(5), pages 852-867, May.
    7. Xingchun Wang, 2022. "Valuing fade-in options with default risk in Heston–Nandi GARCH models," Review of Derivatives Research, Springer, vol. 25(1), pages 1-22, April.
    8. Gianmarco Bet & Francesco Dainelli & Eugenio Fabrizi, 2023. "The financial health of a company and the risk of its default: Back to the future," Papers 2302.10140, arXiv.org.
    9. Castellano, Rosella & Corallo, Vincenzo & Morelli, Giacomo, 2022. "Structural estimation of counterparty credit risk under recovery risk," Journal of Banking & Finance, Elsevier, vol. 140(C).
    10. Brøgger, Søren Bundgaard, 2022. "Dynamic risk management and asset comovement," Journal of Empirical Finance, Elsevier, vol. 67(C), pages 60-77.
    11. Li, Zelei & Wang, Xingchun, 2020. "Valuing spread options with counterparty risk and jump risk," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).

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    More about this item

    Keywords

    Counterparty credit risk; Mitigating mechanism; Options pricing with vulnerability; Derivative warrants;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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