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Analysis of VaR-iance

In recent years we have published a number of papers on stochastic mortality models. A particular focus has been on the application of such models to longevity trend risk in a one-year, value-at-risk (VaR) framework for Solvency II. However, while a small group of models has been common to each paper, there have been changes in the calculation basis, most obviously where updated data have been used.

Written by: Stephen RichardsTags: Filter information matrix by tag: Lee-Carter, Filter information matrix by tag: value-at-risk, Filter information matrix by tag: longevity trend risk, Filter information matrix by tag: Solvency II

Twin peaks

If you are over forty, the title of this blog will call to mind an iconic, sometimes disturbing, television series of the same name from 1990.  If you clicked on the link expecting murder, surreal horror and an undercurrent of sleaze, however, then this posting is as far away from all that as you are ever likely to get.
Written by: Stephen RichardsTags: Filter information matrix by tag: value-at-risk, Filter information matrix by tag: bimodal distribution, Filter information matrix by tag: Solvency II, Filter information matrix by tag: model risk

Division of labour

At this time of year insurers have commenced their annual valuation of liabilities, part of which involves setting a mortality basis.  When doing so it is common for actuaries to separate the basis into two components.
Written by: Stephen RichardsTags: Filter information matrix by tag: valuation, Filter information matrix by tag: Solvency II, Filter information matrix by tag: mis-estimation risk, Filter information matrix by tag: trend risk

What — and when — is a 1:200 event?

The concept of a "one in two hundred" (1:200) event over a one-year time horizon is well established as a reserving standard for insurance in several territories: the ICA in the United Kingdom, the SST in Switzerland and the forthcoming Solvency II standard for the entire European Union. 
Written by: Stephen RichardsTags: Filter information matrix by tag: Spanish influenza pandemic, Filter information matrix by tag: mortality shocks, Filter information matrix by tag: longevity shocks, Filter information matrix by tag: Solvency II, Filter information matrix by tag: ICA, Filter information matrix by tag: SST, Filter information matrix by tag: VaR, Filter information matrix by tag: value-at-risk

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

Discounting longevity trend risk

Establishing the capital requirement for longevity trend risk is a thorny problem for insurers with substantial pension or annuity payments.
Written by: Stephen RichardsTags: Filter information matrix by tag: Solvency II, Filter information matrix by tag: ICA, Filter information matrix by tag: longevity trend risk, Filter information matrix by tag: yield curve

Following the thread

Gavin recently explored the topic of threads and parallel processing.  But what does this mean from a business perspective?
Written by: Stephen RichardsTags: Filter information matrix by tag: parallel processing, Filter information matrix by tag: simulation, Filter information matrix by tag: Solvency II, Filter information matrix by tag: technology

Trend risk and age

There are several ways of looking at longevity trend risk, as covered in our recent seminar. However, regardless of how you choose to look at this risk, there are some pitfalls to watch out for.
Written by: Stephen RichardsTags: Filter information matrix by tag: Solvency II, Filter information matrix by tag: ICA, Filter information matrix by tag: longevity trend risk, Filter information matrix by tag: model risk

Seminar on stochastic projection models

We previously ran a seminar on stochastic projection models for longevity risk. Our follow-up seminar focuses on specific aspects of ICAs and Solvency II.
Written by: Helena BuckmayerTags: Filter information matrix by tag: mortality projections, Filter information matrix by tag: Solvency II, Filter information matrix by tag: ICA