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Please help with the attached question : You are given the following three-decrement service table for modelling employment. (1) (2) (3) X lx ax a

Please help with the attached question :

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You are given the following three-decrement service table for modelling employment. (1) (2) (3) X lx ax a x 60 10 000 350 150 25 61 9 475 360 125 45 62 8 945 380 110 70(a) Calculate 3P60. 01 (b) Calculate 2P61. 00 (c) Calculate the EPV of a benefit of $10 000 payable at the end of the year of exit, if a life aged 60 leaves by decrement 3 before age 63. Use an effective rate of interest of 5% per year. d) Calculate the EPV of an annuity of $1000 per year payable at the start of each of the next three years if a life currently aged 60 remains in service. Use an effective rate of interest of 5% per year. (e) Show that 962 *(1) =0.04292, assuming a constant force of decrement for each decrement

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