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Pricing basket spread options with default risk under Heston–Nandi GARCH models

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  • Wang, Xingchun
  • Zhang, Han

Abstract

In this paper, we investigate basket spread options under the Heston–Nandi GARCH model. Moreover, we adopt the reduced-form model to capture default risk, which is correlated with all underlying assets. Because of the nonexistence of the analytical fair values, we obtain a closed-form approximated pricing formula of basket spread options with default risk. Finally, we examine the accuracy of approximations and then use the proposed formulae to illustrate the effect of the number of the underlying assets and default risk as well.

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  • Wang, Xingchun & Zhang, Han, 2022. "Pricing basket spread options with default risk under Heston–Nandi GARCH models," The North American Journal of Economics and Finance, Elsevier, vol. 59(C).
    • Handle: RePEc:eee:ecofin:v:59:y:2022:i:c:s1062940821001960
    DOI: 10.1016/j.najef.2021.101596
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    Cited by:

    1. Hu, Dongdong & Sayit, Hasanjan & Yao, Jing & Zhong, Qifeng, 2024. "Closed-form approximations for basket option pricing under normal tempered stable Lévy model," The North American Journal of Economics and Finance, Elsevier, vol. 74(C).
    2. Xingchun Wang & Han Zhang, 2024. "Pricing Fade-in Options Under GARCH-Jump Processes," Computational Economics, Springer;Society for Computational Economics, vol. 64(4), pages 2563-2584, October.
    3. Cai, Chengyou & Wang, Xingchun & Yu, Baimin, 2024. "Pricing vulnerable spread options with liquidity risk under Lévy processes," The North American Journal of Economics and Finance, Elsevier, vol. 72(C).
    4. Xin Chen & Zhangming Shan & Decai Tang & Biao Zhou & Valentina Boamah, 2023. "Interest rate risk of Chinese commercial banks based on the GARCH-EVT model," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-11, December.
    5. Battauz, Anna & De Donno, Marzia & Sbuelz, Alessandro, 2022. "On the exercise of American quanto options," The North American Journal of Economics and Finance, Elsevier, vol. 62(C).

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    More about this item

    Keywords

    Basket spread options; Basket options; GARCH models; Default risk;
    All these keywords.

    JEL classification:

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

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