March 19th, 2014

Time Off for Certain Behavior, Part II

Posted at 1:00 AM ET

victoria-jenkinsVictoria Jenkins, Managing Director


On a Hunch

Our experience in doing this has led to an “actuarial hunch” that PPO claims converted to their Ogden equivalents are not from the same underlying statistical distribution as traditional lump sum values. Fitting severity distributions to these claims in among the traditional lump sums can feel a bit like fitting to “apples and oranges.”  On comparing claimants with similar injuries, claims settled more recently as a PPO, revalued to an Ogden basis, just seem to be more expensive than claims that were settled a few years ago prior to the arrival of PPO settlements. This difference persists even after adjusting for inflation and after adjusting for the fact that it is often the larger claims that settle as a PPO. If our observation turns out to be true, excess of loss reinsurance pricing could have an implicit double loading. First, in the inclusion of these claims in the original lump sum severity curve fitting process (including the derivation of the development pattern applied to lump sums) and second, in the PPO loading applied afterwards. Similarly this sort of distortion could affect the parameterization of capital models for classes of business that have experienced PPO claims.

This severity effect could of course just be “inflation” at work and/or a suggestion that the actual level of inflation for these claims is not as we expected in our revaluation exercise. However, inflation is the symptom, not the underlying cause of the effect. There could be many reasons for this effect. Claimants’ solicitors could just be getting better at including likely future needs in their annual PPO award requests - an example would be the need for a new car every few years. But shouldn’t we explore the fact that DRD could be partly responsible?

The preference for receiving money upfront could mean that the choice between a lump sum and PPO with equivalent NPV would be biased towards the lump sum value. This effect was certainly evident in the early years of PPOs, with most claimants preferring to take the cash. If our premise is that if people inherently prefer the money upfront, what happens when it becomes more normal and socially responsible to settle on a PPO basis? There could be upward pressure on the annual payment amount under a PPO. This would force an inequality in the NPV of the two settlement methods in actual terms, to achieve equality in utility or emotional terms.

To test our theory to see whether DRD is having an impact on PPO settlements, we launched a survey with CASS and LSE students. The survey consists of questions designed to extract the pure psychological uplift factor between lump sums and PPOs by putting students in hypothetical claimant situations.

Survey Questions

Participants are presented with the option of a lump sum and have to provide the minimum annual payment they would swap for the given lump sum. Importantly, students were instructed to ignore inflation, interest and tax and assume that life expectancy is fixed to remove any opinions in terms of future financial conditions. The four questions differ in terms of the size of the original lump sum (small and large) and the future life expectancy (short and long). Figure 1 shows the average response from the survey across the four questions in terms of the sum of the minimum annual payments (until the stated life expectancy) participants would swap for the lump sum offered expressed as a ratio of that lump sum.

As can be seen from the chart, it appears that individuals do require a premium to defer receipt from a lump sum to an annuity. This effect is more pronounced when the period over which they would receive the annuity is longer - for example, when life expectancy is higher. Another interesting observation is that the multiple is larger when a smaller lump sum is offered.

Now we can look at actual claims data to see if we can observe this DRD effect in practice. We conducted an exercise to look at the change in reserve for settled PPO claims and settled lump sum claims in the two years prior to settlement. If DRD is evidenced in PPO settlement negotiations, we would expect the reserve to increase prior to settlement by more than the move from a 2.5 percent pa to a lower discount rate would suggest. That is exactly what we see. Figure 2 compares the change in reserve for two years prior to settlement for lump sums and PPOs converted to lump sum equivalent claims for different settlement value thresholds.

PPO settlements exhibit a clear increase prior to settlement, compared with a small decrease in general for lump sums. Interestingly, the uplift evidenced in the data corresponds quite closely to the survey results.

Behavioral economics experiments are notoriously difficult to conduct without introducing inherent biases, but the fact that DRD is a well-accepted phenomenon and that our survey and the data supports the hypothesis should lead us to reconsider at least two aspects of our analysis in respect of PPOs: how we price reinsurance in the context of PPOs to avoid double-loading the cost, and how we parameterize our capital models when the vast majority of our past data consists of lump sums. Reserving is another area that could warrant attention, both in terms of incurred but not reported (IBNR) and in terms of the setting of original case estimates. Lastly, I think the more we look for the effects of behavioral economics in our everyday work, the more we will find them.

Figure 1


Figure 2


This article was originally published in The Actuary Jan/Feb 2014 edition, and is reprinted here with permission from “The Actuary.”

Link to Part I >>

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