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9 September 2019 Optimal Costal Reinsurance and Investment with Exponential Utility: Dependent Claims
Yusong Cao
Author Affiliations +
Abstract

Cao, Y.-S., 2019. Optimal costal reinsurance and investment with exponential utility: Dependent claims. In: Gong, D.; Zhu, H., and Liu, R. (eds.), Selected Topics in Coastal Research: Engineering, Industry, Economy, and Sustainable Development. Journal of Coastal Research, Special Issue No. 94, pp. 369-375. Coconut Creek (Florida), ISSN 0749-0208. Journal of Coastal Research, Special Issue No. 94, pp. 743–748. Coconut Creek (Florida), ISSN 0749-0208.

Coastal areas are prone to storm surge disasters, and a storm surge disaster will cause significant economic losses. Based on exponential utility, the paper studies how to purchase the proportional reinsurance to spread the risk of storm surge and how to distribute the surplus captain into risk market and risk-free market. In the whole paper, we describe the capital operation process using Brownian motion, and the model is the binary dependent claim risk model, through solving the corresponding Hamilton-Jacobi-Bellman Equation s, the paper gives the optimal strategy of investment and reinsurance in order to make the end utility of the storm surge disaster original insurance company maximum.

©Coastal Education and Research Foundation, Inc. 2019
Yusong Cao "Optimal Costal Reinsurance and Investment with Exponential Utility: Dependent Claims," Journal of Coastal Research 94(sp1), 743-748, (9 September 2019). https://doi.org/10.2112/SI94-147.1
Received: 26 January 2019; Accepted: 4 March 2019; Published: 9 September 2019
KEYWORDS
dependent claims
exponential utility
optimal reinsurance-investment strategy
Proportional reinsurance
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