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Valuation of double trigger catastrophe options with counterparty risk

Author

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  • Jiang, I-Ming
  • Yang, Sheng-Yung
  • Liu, Yu-Hong
  • Wang, Alan T.

Abstract

This study presents a novel catastrophe option pricing model that considers counterparty risk. Asset prices are modeled through a jump-diffusion process which is correlated to counterparty loss process and collateral assets. Because of the long term of catastrophe options, this study also examines the model in the stochastic interest rate environment. The numerical results indicate that counterparty risk significantly affects the value of options. Recently, numerous serious financial events have demonstrated the importance of counterparty risk when valuing financial products.

Suggested Citation

  • Jiang, I-Ming & Yang, Sheng-Yung & Liu, Yu-Hong & Wang, Alan T., 2013. "Valuation of double trigger catastrophe options with counterparty risk," The North American Journal of Economics and Finance, Elsevier, vol. 25(C), pages 226-242.
    • Handle: RePEc:eee:ecofin:v:25:y:2013:i:c:p:226-242
    DOI: 10.1016/j.najef.2012.06.017
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    Cited by:

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    2. Bi, Hongwei & Wang, Guanying & Wang, Xingchun, 2019. "Valuation of catastrophe equity put options with correlated default risk and jump risk," Finance Research Letters, Elsevier, vol. 29(C), pages 323-329.
    3. Wang, Guanying & Wang, Xingchun & Shao, Xinjian, 2022. "Exchange options for catastrophe risk management," The North American Journal of Economics and Finance, Elsevier, vol. 59(C).
    4. Jeon, Junkee & Kim, Geonwoo, 2019. "Pricing of vulnerable options with early counterparty credit risk," The North American Journal of Economics and Finance, Elsevier, vol. 47(C), pages 645-656.
    5. Jun, Doobae & Ku, Hyejin, 2017. "Closed-form solutions for options with random initiation under asset price monitoring," Finance Research Letters, Elsevier, vol. 20(C), pages 68-74.
    6. Yu, Jun, 2015. "Catastrophe options with double compound Poisson processes," Economic Modelling, Elsevier, vol. 50(C), pages 291-297.
    7. Kotzé, Antonie & Labuschagne, Coenraad C.A. & Nair, Merell L. & Padayachi, Nadine, 2013. "Arbitrage-free implied volatility surfaces for options on single stock futures," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 380-399.
    8. Chen, Jun-Home & Lian, Yu-Min & Liao, Szu-Lang, 2022. "Pricing catastrophe equity puts with counterparty risks under Markov-modulated, default-intensity processes," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    9. Liu, Yu-hong & Jiang, I-Ming & Hsu, Wei-tze, 2018. "Compound option pricing under a double exponential Jump-diffusion model," The North American Journal of Economics and Finance, Elsevier, vol. 43(C), pages 30-53.
    10. Koo, Eunho & Kim, Geonwoo, 2017. "Explicit formula for the valuation of catastrophe put option with exponential jump and default risk," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 1-7.
    11. Xingchun Wang, 2016. "The Pricing of Catastrophe Equity Put Options with Default Risk," International Review of Finance, International Review of Finance Ltd., vol. 16(2), pages 181-201, June.
    12. Wang, Xingchun, 2016. "Catastrophe equity put options with target variance," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 79-86.
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    14. Massimo Arnone & Michele Leonardo Bianchi & Anna Grazia Quaranta & Gian Luca Tassinari, 2021. "Catastrophic risks and the pricing of catastrophe equity put options," Computational Management Science, Springer, vol. 18(2), pages 213-237, June.

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