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Question 2 [18 marks] You are given the following: Normal retirement benefit: 1% final one-year salary for each year of service Actuarial assumptions: Interest rate
Question 2 [18 marks] You are given the following: Normal retirement benefit: 1% final one-year salary for each year of service Actuarial assumptions: Interest rate : 6% per year Salary increase : 3% (for Projected Unit Credit Cost Method only) Preretirement deaths and terminations : None Retirement age : 65 Annuity factor (g)) : 10 Data for sole participant as of January 1, 2017: Age at hire: 30 Age at anuary 1, 2017: 45 Year 2017 annual salary: 50,000 Year 2018 annual salary: 52,500 Under each of the Traditional Unit Credit Cost Method and the Projected United Credit Cost Method, calculate the following: the actual liability as of January 1, 2017; (ii) the expected liability as of January 1, 2018; (iii) the actual liability as of January 1, 2018; and (iv) the liability gain or loss at January 1, 2018. [16] (b) Compare and explain the difference between the liability gain or loss under the Traditional Unit Credit Cost Method and the Projected Unit Credit Cost Method. Show all work. [2] Question 2 [18 marks] You are given the following: Normal retirement benefit: 1% final one-year salary for each year of service Actuarial assumptions: Interest rate : 6% per year Salary increase : 3% (for Projected Unit Credit Cost Method only) Preretirement deaths and terminations : None Retirement age : 65 Annuity factor (g)) : 10 Data for sole participant as of January 1, 2017: Age at hire: 30 Age at anuary 1, 2017: 45 Year 2017 annual salary: 50,000 Year 2018 annual salary: 52,500 Under each of the Traditional Unit Credit Cost Method and the Projected United Credit Cost Method, calculate the following: the actual liability as of January 1, 2017; (ii) the expected liability as of January 1, 2018; (iii) the actual liability as of January 1, 2018; and (iv) the liability gain or loss at January 1, 2018. [16] (b) Compare and explain the difference between the liability gain or loss under the Traditional Unit Credit Cost Method and the Projected Unit Credit Cost Method. Show all work. [2]
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