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A company provides the following benefits for its employees immediately on death in service, a lump sum of 20,000 immediately on withdrawal from service (other
A company provides the following benefits for its employees immediately on death in service, a lump sum of 20,000 immediately on withdrawal from service (other than on death or in ill health), a lump sum equal to 1,000 for each completed year of service immediately on leaving due to ill health, a benefit of 5,000 pa payable monthly in advance for 5 years certain and then ceasing, and on survival in service to age 65, a pension of E2,000 pa for each complete year of service, payable monthly in advance from age 65 for 5 years certain and life thereafter The forces of decrement for the employees at each age, assumed to be constant over each year of age, are as follows: Age * 0.020 62 63 0.015 0.018 0.020 0.023 0.10 0.15 0.20 0.010 where is the (assumed constant) force of decrement by cause over (x,x+1). d represents death, i represents ill-health retirement and w represents withdrawal. Construct a multiple decrement table with radix (allez = 100,000 to show the numbers of deaths, ill-health retirements and withdrawals at ages 62, 63 and 64, and the number remaining in employment until age 65 [5] Calculate the expected present value of each of the above benefits for a new entrant aged exactly 62. Assume that interest is 6% pa effective before retirement and 4% pa effective thereafter, and that mortality after retirement follows the PMA92C20 table (10) [Total 15
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