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Lump sum or annuity?

People are often faced with a decision whether to live off their savings or buy an annuity.  Normally such decisions are made around the retirement ages of 60–65.  However, an interesting counter-example has just been provided by eighteen-year-old Charlie Lagarde, the winner of a lottery in Canada. 
Written by: Stephen RichardsTags: Filter information matrix by tag: annuities, Filter information matrix by tag: life expectancy

Some points for integration

The survivor function from age \(x\) to age \(x+t\), denoted \({}_tp_x\) by actuaries, is a useful tool in mortality work. As mentioned in one of our earliest blogs, a basic feature is that the expected time lived is the area under the survival curve, i.e. the integral of \({}_tp_x\). This is easy to express in visual terms, but it often requires numerical integration if there is no closed-form expression for the integral of the survival curve.

Written by: Stephen RichardsTags: Filter information matrix by tag: life expectancy, Filter information matrix by tag: survival curve, Filter information matrix by tag: numerical integration, Filter information matrix by tag: adaptive quadrature, Filter information matrix by tag: Trapezoidal Rule, Filter information matrix by tag: Simpson's Rule

Insurance or right?

The Economist recently carried an article about the perceived unfairness of increasing the retirement age. The argument is that poorer people have higher mortality rates, which means they get less value from a given pension than richer people: the poor are less likely to survive long enough to receive the pension, and if they do they will draw it for a shorter period of time.
Written by: Stephen RichardsTags: Filter information matrix by tag: state pension age, Filter information matrix by tag: life expectancy