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Quantiles and percentiles

Quantiles are points taken at regular intervals from the cumulative distribution function of a random variable. They are generally described as q-quantiles, where q specifies the number of intervals which are separated by q−1 points.
Written by: Stephen RichardsTags: Filter information matrix by tag: quantile, Filter information matrix by tag: percentile, Filter information matrix by tag: Solvency II, Filter information matrix by tag: Excel, Filter information matrix by tag: R language

Creative thinking around longevity risk

The U.K. has been a hotbed of innovation when dealing with the longevity risk found in pension schemes.
Written by: Stephen RichardsTags: Filter information matrix by tag: longevity risk, Filter information matrix by tag: regulation, Filter information matrix by tag: longevity swaps

Excel's limits

We have written in the past about some of the reasons why we don't use Excel to fit our models.  However, we do use Excel for validation purposes — fitting models using two entirely separate tools is a good way of checking production code.  That said, there are some important limits to Excel, especially when it comes to fitting projection models.
Written by: Stephen RichardsTags: Filter information matrix by tag: Excel, Filter information matrix by tag: Lee-Carter, Filter information matrix by tag: APC, Filter information matrix by tag: Cairns-Blake-Dowd

Wind-up and buy-out - the cheaper option?

The words "cheap" or "cheaper" are not normally seen in the same sentence as pension scheme wind-up or buy-out.  However, my challenge is whether it is not indeed the cheaper option after taking into account the capitalised costs of running a pension scheme for another 10 or 20 years.
Written by: Allan MartinTags: Filter information matrix by tag: buy-out, Filter information matrix by tag: buy-in

(Un)Fit for purpose

Academics lay great store by anonymous peer review and in openly publishing their results.  There are good reasons for this — anonymous peer review allows expert third parties (usually two) to challenge assumptions without fear of retribution, while open publishing allows others to test things and find their limitations. 
Written by: Stephen RichardsTags: Filter information matrix by tag: Lee-Carter, Filter information matrix by tag: Renshaw-Haberman, Filter information matrix by tag: model risk

Demography's dark matter: measuring cohort effects

My last blog generated quite a bit of interest so I thought I'd write again on cohorts. It's easy to (a) demonstrate the existence of a cohort effect and to (b) fit models with cohort terms, but not so easy to (c) interpret or forecast the fitted cohort coefficients. In this blog I'll fit the following three models:

Written by: Iain CurrieTags: Filter information matrix by tag: cohort effect, Filter information matrix by tag: APC, Filter information matrix by tag: mortality projections

Forecasting with cohorts for a mature closed portfolio

At a previous seminar I discussed forecasting with the age-period-cohort (APC) model:

$$ \log \mu_{i,j} = \alpha_i + \kappa_j + \gamma_{j-i}$$

Written by: Iain CurrieTags: Filter information matrix by tag: APC, Filter information matrix by tag: mortality projections, Filter information matrix by tag: cohort effect

A second pension-scheme revolution

In his book Unseen Revolution, Peter Drucker drew attention to the structural changes in economic ownership which were silently ushered in with the growth of corporate pension schemes.
Written by: Stephen RichardsTags: Filter information matrix by tag: pension schemes, Filter information matrix by tag: bulk annuities, Filter information matrix by tag: buy-out

Spotting quality issues with limited data

In an earlier posting I showed how to use the Kaplan-Meier function to identify subtle data problems.  However, what can you do when you don't have the detailed information to build a full survival curve?
Written by: Stephen RichardsTags: Filter information matrix by tag: data validation, Filter information matrix by tag: survival rates, Filter information matrix by tag: standard table