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Valuation of new-designed contracts for catastrophe risk management

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  • Wang, Xingchun

Abstract

In this study, we design and price a new kind of catastrophe equity put options, whose payoff depends on the ratio of accumulated losses and the expected level over the life of the option. We adopt a compound Poisson process to describe accumulated catastrophe losses and assume catastrophe losses affect the prices of the underlying stock. In the proposed framework, we obtain an explicit pricing formula of the new kind of catastrophe equity put options. Finally, numerical results are presented to investigate the values of this new class of options and illustrate the differences between the prices of vanilla catastrophe equity put options and the contracts designed in this paper. Interestingly, the prices of the new-designed contracts with different power exponents change oppositely as the intensity rises.

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  • Wang, Xingchun, 2019. "Valuation of new-designed contracts for catastrophe risk management," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    • Handle: RePEc:eee:ecofin:v:50:y:2019:i:c:s1062940819301032
    DOI: 10.1016/j.najef.2019.101041
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    Cited by:

    1. 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).
    2. Wang, Xingchun, 2020. "Catastrophe equity put options with floating strike prices," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).

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    More about this item

    Keywords

    Catastrophe equity put options; Catastrophe risk management; Catastrophic events; Poisson processes; G13;
    All these keywords.

    JEL classification:

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

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