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Stephen Richards

Managing Director

Articles written by Stephen Richards

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).
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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. 
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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

Tags: 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. 
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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. 
Tags: 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.
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(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. 
Tags: 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
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The weaker sex

Last year Iain wrote about a smooth model to identify mortality shocks, using Swedish population data to illustrate the impact of the 1918 influenza pandemic. 
Tags: Filter information matrix by tag: Spanish influenza pandemic, Filter information matrix by tag: mortality shocks, Filter information matrix by tag: Solvency II

Cast adrift

One of the most written-about models for stochastic mortality projections is that from Lee & Carter (1992). 
Tags: Filter information matrix by tag: mortality projections, Filter information matrix by tag: Lee-Carter, Filter information matrix by tag: drift model, Filter information matrix by tag: ARIMA