- Hao, MingJie and Macdonald, Angus S. and Tapadar, Pradip and Thomas, R. Guy (2017). Insurance loss coverage and social welfare. Submitted.
Abstract: Restrictions on insurance risk classification may induce adverse selection, which is usually perceived to reduce efficiency. We suggest a counter-argument to this perception in circumstances where modest adverse selection leads to an increase in `loss coverage’, defined as expected losses compensated by insurance for the whole population. This happens if the shift in coverage towards higher risks more than outweighs the fall in numbers insured. We also reconcile `loss coverage’ and a utilitarian concept of social welfare. For iso-elastic insurance demand, ranking risk classification schemes by (observable) loss coverage always gives the same ordering as ranking by (unobservable) social welfare.
- Hao, MingJie and Macdonald, Angus S. and Tapadar, Pradip and Thomas, R. Guy (2017). Insurance loss coverage and demand elasticities. Insurance: Mathematic and Economics.
Abstract: Restrictions on insurance risk classification may induce adverse selection, which is usually perceived as a bad outcome. We suggest a counter-argument to this perception in circumstances where modest levels of adverse selection lead to an increase in `loss coverage’, defined as expected losses compensated by insurance for the whole population. This happens if the shift in coverage towards higher risks under adverse selection more than offsets the fall in number of individuals insured. The possibility of this outcome depends on insurance demand elasticities for higher and lower risks. We state elasticity conditions which ensure that for any downward-sloping insurance demand functions, loss coverage when all risks are pooled at a common price is higher than under fully risk-differentiated prices. Empirical evidence suggests that these conditions may be realistic for some insurance markets.
- Hao, MingJie and Macdonald, Angus S. and Tapadar, Pradip and Thomas, R. Guy (2016). ‘Insurance loss coverage under restricted risk classification: The case of iso-elastic demand’, ASTIN Bulletin, 46 (2). pp. 265-291.
Abstract: This paper investigates equilibrium in an insurance market where risk classification is restricted. Insurance demand is characterised by an iso-elastic function with a single elasticity parameter. We characterise the equilibrium by three quantities: equilibrium premium; level of adverse selection (in the economist’s sense); and “loss coverage”, defined as the expected population losses compensated by insurance. We consider both equal elasticities for high and low risk-groups, and then different elasticities. In the equal elasticities case, adverse selection is always higher under pooling than under risk-differentiated premiums, while loss coverage first increases and then decreases with demand elasticity. We argue that loss coverage represents the efficacy of insurance for the whole population; and therefore that if demand elasticity is sufficiently low, adverse selection is not always a bad thing.
- Thomas, R. Guy (2009) ‘Demand elasticity, risk classification and loss coverage: when can community rating work?’ ASTIN Bulletin, 39 (2). pp. 403-428.
Abstract: This paper investigates the effects of high or low fair-premium demand elasticity in an insurance market where risk classification is restricted. High fair-premium demand elasticity leads to a collapse in loss coverage, with an equilibrium premium close to the risk of the higher risk population. Low fair-premium demand elasticity leads to an equilibrium premium close to the risk of the lower risk population, and high loss coverage – possibly higher than under more complete risk classification. The elasticity parameters which are required to generate a collapse in coverage in the model in this paper appear higher than the values for demand elasticity which have been estimated in several empirical studies of various insurance markets. This offers a possible explanation of why some insurance markets appear to operate reasonably well under community rating, without the collapse in coverage which insurance folklore suggests.
- Thomas, R. Guy (2008) ‘Loss Coverage as a Public Policy Objective for Risk Classification Schemes’, Journal of Risk and Insurance, 75 (4). pp. 997-1018.
Abstract: This article suggests that from a public policy perspective, some degree of adverse selection may be desirable in some insurance markets. The article suggests that a public policymaker should consider the criterion of “loss coverage,” and that in some markets a policymaker may wish to regulate risk classification with a view to increasing loss coverage. Either too much or too little risk classification may reduce loss coverage. The concept is explored by means of examples and formulaic and graphical interpretations. An application to the UK life insurance market is considered.