Notations used in Actuarial Tables

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  • #22980
    Arpit Surana
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      [font=Trebuchet MS,Helvetica,sans-serif]There are basically 4 notations –[/font]

    • [font=Trebuchet MS,Helvetica,sans-serif]lx”>[/font][/size]

    • [font=Trebuchet MS,Helvetica,sans-serif]𝑑π‘₯”>[/font][/size]
    • [font=Trebuchet MS,Helvetica,sans-serif]qx”>[/font][/size]
    • [font=Trebuchet MS,Helvetica,sans-serif]px%;”>[/size]
    • [font=Trebuchet MS,Helvetica,sans-serif]Now there are 4 relations that helps in understanding the tables-

      1. 3. 𝑝π‘₯=(𝑙π‘₯+1)/lx: It means the probability of survivingΒ  is equal to the number of people alive in year x +1 divided by the number of people died in the year x

      4. px = 1-qx: It means that the probability of surviving is equal to 1 minus probability of death. In other words, the probability of surviving and probability of death equals 1

      Collectively, 𝑙π‘₯, 𝑑π‘₯, π‘žπ‘₯ and 𝑝π‘₯ form what is called a β€œlife table” or β€œactuarial table”.Β Β [/font]

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