Property-Liability Insurance Loss Reserve Ranges Based on Economic Value

Abstract

A number of methods to measure the variability of property-liability loss reserves have been developed to meet the requirements of regulators, rating agencies, and management. These methods focus on nominal, undiscounted reserves, in line with statutory reserve requirements. Recently, though, there has been a trend to consider the fair value, or economic value, of loss reserves. Insurance regulators worldwide are starting to consider the economic value of loss reserves, which reflects how much needs to be set aside today to settle these claims, instead of focusing on nominal values. If insurers switch to economic values for loss reserves, then reserve variability would need to be calculated on this basis as well. This approach will add considerable complexity to reserve variability calculations. This paper combines loss reserve variability and economic valuation. Loss reserve ranges are calculated on a nominal and economic basis for a simplified insurer to illustrate the key variables that impact loss reserve variability. Nominal interest rate and inflation volatility, interest rate-inflation correlation, and the relationship between claim cost and general inflation are key factors that affect economic loss reserve variability. Actuaries will need to focus on measuring these values accurately if insurers adopt economic valuation of loss reserves.

Volume
3
Issue
1
Page
42-61
Year
2009
Keywords
Loss reserve ranges, economic value, stochastic simulation
Categories
Actuarial Applications and Methodologies
Reserving
Discounting of Reserves
Actuarial Applications and Methodologies
Accounting and Reporting
Fair Value
Actuarial Applications and Methodologies
Reserving
Reserve Variability
Actuarial Applications and Methodologies
Reserving
Uncertainty and Ranges
Financial and Statistical Methods
Loss Distributions
Financial and Statistical Methods
Simulation
Publications
Variance
Authors
Stephen P D'Arcy
Alfred Au
Liang Zhang