Description: Reinsurance reduces the required capital of the primary insurer but increases that of the reinsurer. Capital is costly. All capital costs, including that of the insurer and the reinsurer, are ultimately borne by primary policyholders. Reducing the total capital of insurers and reinsurers brings down the total capital cost and the total primary policy premium. A reinsurance arrangement is considered optimal—if it minimizes the total required capital. This optimal reinsurance is an attracting equilibrium under price competition. Evidence suggests an inverse relationship between the total required capital and the correlation between the losses held by different insurers and reinsurers. Examples are constructed to examine this and other properties of the optimal reinsurance.

Description: Shareholders provide capital and receive the insurance profit. This paper demonstrates than an optimal capital level exists that generates the highest return for the shareholders of an insurance company. This result is derived using a risk capital model by Perold. The no-arbitrage argument, developed by Modigliani and Miller, is used throughout the paper and puts the discussion on a solid economic footing. From 2006 Enterprise Risk Management Symposium, M-AS06-1.