Reinsurance or Cat Bond? How to Optimally Combine Both

We study how traditional reinsurance and CAT bonds can be combined to build an optimal catastrophe insurance programme. We develop a contingent claims model to investigate the imperfections and limitations of the reinsurance market stemming from financial distress costs and default risk. We find that the pricing markup and credit risk will typically be larger for reinsurance contracts that cover the higher and less probable layers of losses. We show that the optimal hedging strategy is to cover small losses using reinsurance and hedge higher losses by issuing a CAT bond. Our results demonstrate that this strategy significantly lowers the insurer's cost of protection, expands his underwriting capacity and yields higher shareholder values