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Main Authors: Burnecki, Krzysztof, Teuerle, Marek, Zdeb, Martyna
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.08890
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author Burnecki, Krzysztof
Teuerle, Marek
Zdeb, Martyna
author_facet Burnecki, Krzysztof
Teuerle, Marek
Zdeb, Martyna
contents The insurance-linked securities (ILS) market, as a form of alternative risk transfer, has been at the forefront of innovative risk-transfer solutions. The catastrophe bond (CAT bond) market now represents almost half of the entire ILS market and is growing steadily. Since CAT bonds are often tied to risks in different regions, we follow this idea by constructing different pricing models that incorporate various scenarios of dependence between catastrophe losses in different areas. Namely, we consider independent, proportional, and arbitrary two-dimensional distribution cases. We also derive a normal approximation of the prices. Finally, to include the market price of risk, we apply Wang's transform. We illustrate the differences between the scenarios and the performance of the approximation on the Property Claim Services data.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08890
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modelling and valuation of catastrophe bonds across multiple regions
Burnecki, Krzysztof
Teuerle, Marek
Zdeb, Martyna
Pricing of Securities
The insurance-linked securities (ILS) market, as a form of alternative risk transfer, has been at the forefront of innovative risk-transfer solutions. The catastrophe bond (CAT bond) market now represents almost half of the entire ILS market and is growing steadily. Since CAT bonds are often tied to risks in different regions, we follow this idea by constructing different pricing models that incorporate various scenarios of dependence between catastrophe losses in different areas. Namely, we consider independent, proportional, and arbitrary two-dimensional distribution cases. We also derive a normal approximation of the prices. Finally, to include the market price of risk, we apply Wang's transform. We illustrate the differences between the scenarios and the performance of the approximation on the Property Claim Services data.
title Modelling and valuation of catastrophe bonds across multiple regions
topic Pricing of Securities
url https://arxiv.org/abs/2512.08890