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Volatility 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.
Written by: Iain CurrieTags: Filter information matrix by tag: mortality projections, Filter information matrix by tag: parameter uncertainty, Filter information matrix by tag: Lee-Carter, Filter information matrix by tag: drift model

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".
Written by: Stephen RichardsTags: Filter information matrix by tag: gender, Filter information matrix by tag: Solvency II

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).
Written by: Stephen RichardsTags: Filter information matrix by tag: BAS, Filter information matrix by tag: TAS

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. 
Written by: Stephen RichardsTags: Filter information matrix by tag: floating point, Filter information matrix by tag: machine arithmetic, Filter information matrix by tag: precision

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

Written by: Stephen RichardsTags: Filter information matrix by tag: mortality projections, Filter information matrix by tag: Japan

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. 
Written by: Stephen RichardsTags: Filter information matrix by tag: mortality projections

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. 
Written by: Stephen RichardsTags: Filter information matrix by tag: cause of death, Filter information matrix by tag: mortality projections

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.
Written by: Stephen RichardsTags: Filter information matrix by tag: floating point, Filter information matrix by tag: machine arithmetic

(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. 
Written by: Stephen RichardsTags: Filter information matrix by tag: ecological fallacy, Filter information matrix by tag: smoking, Filter information matrix by tag: geodemographics, Filter information matrix by tag: asbestos

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
Written by: Stephen RichardsTags: Filter information matrix by tag: smoking, Filter information matrix by tag: lung cancer, Filter information matrix by tag: Scotland