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CVA for Cliquet options under Heston model

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  • Feng, Yaqin
  • Wang, Min
  • Zhang, Yuanqing

Abstract

Credit value adjustment (CVA) is an important pricing component in the counterparty credit risk (CCR) management. Cliquet options are a popular volatility product with protection against downside risk as well as significant upside potential. This paper aims to study the CVA for Cliquet options under stochastic volatility models. A partial differential equation (PDE) is first derived to price Cliquet options under the Heston model. Numerical schemes are then provided to solve the PDE and calculate exposure and CVA. Numerical tests are also carried out to examine the scheme accuracy and impacts of wrong way risk to CVA. Test results show that the numerical schemes are accurate. Wrong way risk plays an important role in pricing CVA for Cliquet options and the impact is crucial from the perspective of CCR management.

Suggested Citation

  • Feng, Yaqin & Wang, Min & Zhang, Yuanqing, 2019. "CVA for Cliquet options under Heston model," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 272-282.
    • Handle: RePEc:eee:ecofin:v:48:y:2019:i:c:p:272-282
    DOI: 10.1016/j.najef.2019.02.008
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    References listed on IDEAS

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    1. H. A. Windcliff & P. A. Forsyth & K. R. Vetzal, 2006. "Numerical Methods and Volatility Models for Valuing Cliquet Options," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(4), pages 353-386.
    2. Chen, Carl R. & Diltz, J. David & Huang, Ying & Lung, Peter P., 2011. "Stock and option market divergence in the presence of noisy information," Journal of Banking & Finance, Elsevier, vol. 35(8), pages 2001-2020, August.
    3. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    4. Damiano Brigo & Fr'ed'eric Vrins, 2016. "Disentangling wrong-way risk: pricing CVA via change of measures and drift adjustment," Papers 1611.02877, arXiv.org.
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    Cited by:

    1. Salvador, Beatriz & Oosterlee, Cornelis W., 2021. "Corrigendum to ``Total value adjustment for a stochastic volatility model. A comparison with the Black–Scholes model''," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    2. Salvador, Beatriz & Oosterlee, Cornelis W., 2021. "Total value adjustment for a stochastic volatility model. A comparison with the Black–Scholes model," Applied Mathematics and Computation, Elsevier, vol. 391(C).

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