2025/10/20 by Jacek Wszoła, Krzysztof Burnecki, Wszoła, Jacek +5
Economics, Econometrics and Finance · Agricultural and Biological Sciences · #Insurance and Financial Risk Management #Agricultural risk and resilience #Financial Markets and Investment Strategies
paper · pdf · doi:10.48550/arxiv.2510.17221
This paper introduces a novel multidimensional insurance-linked instrument: a contingent convertible bond (CoCoCat bond) whose conversion trigger is activated by predefined natural catastrophes across multiple geographical regions. We develop such a model explicitly accounting for the complex dependencies between regional catastrophe losses. Specifically, we explore scenarios ranging from complete independence to proportional loss dependencies, both with fixed and random loss amounts. Utilizing change-of-measure techniques, we derive risk-neutral pricing formulas tailored to these diverse dependence structures. By fitting our model to real-world natural catastrophe data from Property Claim Services, we demonstrate the significant impact of inter-regional dependencies on the CoCoCat bond's pricing, highlighting the importance of multidimensional risk assessment for this innovative financial instrument.