The Marginal Cost of Risk in a Multi-Period Risk Model

Wednesday, April 2, 2014: 4:00 p.m.
Virginia Suite AB (Washington Marriott Wardman Park)
Capital allocation is used widely within the insurance industry for purposes of pricing and performance measurement. In this paper, we consider the theoretical impact of extending the canonical model of a profit maximizing insurer beyond a single period and, in particular, consider the effect of having opportunities to raise external financing in future periods. We show that in this setting, outside of special cases, capital allocation as currently conceived cannot be done in a way to produce prices consistent with marginal cost. We go on to evaluate economically correct capital allocations based on the model in the context of a catastrophe reinsurer with four lines of business. We find that traditional techniques can be resurrected if:

(1) an appropriate definition of capital,

(2) a broader conception of the cost of underwriting cost, and

(3) an appropriate risk measure connected to the fundamentals of the underlying business are used.

*Awarded 1st Place Non-Life Track Prize

Presentation 1
Daniel Bauer, Associate Professor of Risk Management and Insurance, Georgia State University
  • 2013BauerZanjaniCAS_11-17-13.pdf (1.9 MB)