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Longevity capital requirements on the edge

in Kleinow & Richards (2016, Table 5) we noted a seeming conundrum: the best-fitting ARIMA model for the time index in a Lee-Carter model also produced much higher value-at-risk (VaR) capital requirements for longevity trend risk.  How could this be?

Written by: Stephen RichardsTags: Filter information matrix by tag: ARIMA, Filter information matrix by tag: characteristic equation, Filter information matrix by tag: unit root, Filter information matrix by tag: VaR

Robust mortality forecasting for univariate models

The covid-19 pandemic led to high levels of mortality in many countries in 2020. How can univariate projections robustly handle such shocks in population data?
Written by: Stephen RichardsTags: Filter information matrix by tag: ARIMA, Filter information matrix by tag: coronavirus, Filter information matrix by tag: outliers

Build versus buy

In an earlier blog I quoted extensively from "The Mythical Man-Month", a book by the distinguished software engineer Fred Brooks.  My blog was admittedly self-interested(!) when it cited arguments made by Brooks (and others) for when it makes sense to buy software instead of writing it yourself.  However in place of "buying

Written by: Stephen RichardsTags: Filter information matrix by tag: software, Filter information matrix by tag: ARIMA, Filter information matrix by tag: survival models, Filter information matrix by tag: left-truncation

Fathoming the changes to the Lee-Carter model

Ancient Greek philosophers had a paradox called "The Ship of Theseus"; if pieces of a ship are replaced over time as they wear out until every one of the original components is gone, is it still the same ship? At this point you could be forgiven for thinking (a) that this couldn't possibly be further removed from mortality modelling, and (b) that I had consumed something a lot more potent than tea at breakfast.

Written by: Stephen RichardsTags: Filter information matrix by tag: Lee-Carter, Filter information matrix by tag: P-splines, Filter information matrix by tag: ARIMA

Cast adrift

One of the most written-about models for stochastic mortality projections is that from Lee & Carter (1992). 
Written by: Stephen RichardsTags: 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

Features of the survival curve

 The survival curve is simply the proportion of lives surviving to each age
Written by: Stephen RichardsTags: Filter information matrix by tag: Lee-Carter, Filter information matrix by tag: P-splines, Filter information matrix by tag: ARIMA