Excess of loss contracts, like those commonly used for umbrella and general liability insurance, or to insure against property losses, will typically have a low ratio of premium paid to maximum loss recoverable. This ratio (expressed as a percentage), commonly called the rate on line for historical reasons related to underwriting practices at Lloyd's of London, will typically be low for contracts that contain reasonably self-evident risk transfer. As the ratio increases to approximate the present value of the limit of coverage, self-evidence decreases and disappears.

Recent theoretical economic research on the social welfare effects of Progressive's telematics technology business process patents have questioned whether the business process patents are pareto efficient for society. Premliminary results suggest that they are not, but more work is needed.

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