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Posts feedVolatility v. Trend Risk
The year 1992 was important in the development of forecasting methods: Ronald Lee and Lawrence Carter published their highly influential paper on forecasting US mortality.
Between a rock and a hard place
The Advocate General of the European Court has recently opined that "the use of actuarial factors based on sex is incompatible with the principle of equal treatment for men and women".
Putting the TAS into Longevitas
In the UK the Board for Actuarial Standards (BAS) has published a series of Technical Actuarial Standards (TAS). At the time of writing there are three standards which are either in force or shortly will be: one for data (TAS-D), one for reports (TAS-R) and one for actuarial models (TAS-M).
Underflow
Earlier I described a problem in mathematical computing for mortality modelling. This was where an intermediate step resulted in a number too big for the computer to handle, causing the entire calculation to overflow and fail.
The bottom line
At it's core, the study of mortality is based on a simple ratio — the number of deaths, D, divided by the population exposed to the risk of death, E:
mortality rate = D / E
History lessons
In the debate about how fast mortality will improve in the future, sometimes it is useful to remind ourselves how far we have come.
Cutting the bias
With the exception of dressmaking, bias is generally undesirable. This is particularly the case when projecting future mortality rates for reserving for pension liabilities.
Overflow
A good general-purpose formula for describing pensioner mortality rates is the logistic function:
q = exp(α) / (1 + exp(α))
where the value of α varies by age.
(Not) Falling for the fallacy
An important concept is demography is the ecological fallacy. This is where aggregate data for a group are used to draw erroneous inferences about individuals belonging to the group.
Where there's smoke...
Amongst its other claims to fame, Scotland produced one of the earliest prominent anti-smoking campaigners — our very own King James VI was an early opponent of tobacco consumption and smoking