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We are pleased to announce that the winner of our Feedback Prize Draw for the Winter 2024-25 session and winning £150 of gift vouchers is Zhao Liang Tay. Congratulations to Zhao Liang. If you fancy winning £150 worth of gift vouchers (from a major UK store) for the Summer 2025 exam sitting for just a few minutes of your time throughout the session, please see our website at https://www.acted.co.uk/further-info.html?pat=feedback#feedback-prize for more information on how you can make sure your name is included in the draw at the end of the session.
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Mark Mitchell
Member
The first line considers the FSL as follows:
- the first term relates to the value of the 0.5 years of future service completed before retirement if the member retires in the year (x,x+1), ie on average at age x+0.5,
- the second term relates to the value of the 1.5 years of future service completed before retirement if the member retires in the year (x+1,x+2), ie on average at age x+1.5,
and so on, with this pattern continuing (with the half-years of service), until the maximum of 40 years service is reached.
Given that the life is currently aged x, and has m past years service, the maximum of 40 years of service will be reached at age x+40-m. So the final set of terms relate to the value of the 40-m future years of service completed before retirement at any age after x+40-m. The number of years of service does not change for these terms, as 40-m is the maximum number of future years of service allowed.
The first line simplifies to the second line algebraically as shown in the attached.
- the first term relates to the value of the 0.5 years of future service completed before retirement if the member retires in the year (x,x+1), ie on average at age x+0.5,
- the second term relates to the value of the 1.5 years of future service completed before retirement if the member retires in the year (x+1,x+2), ie on average at age x+1.5,
and so on, with this pattern continuing (with the half-years of service), until the maximum of 40 years service is reached.
Given that the life is currently aged x, and has m past years service, the maximum of 40 years of service will be reached at age x+40-m. So the final set of terms relate to the value of the 40-m future years of service completed before retirement at any age after x+40-m. The number of years of service does not change for these terms, as 40-m is the maximum number of future years of service allowed.
The first line simplifies to the second line algebraically as shown in the attached.
