You are given the following for a pension plan covering one individual. Pension formula (as a % of final salary) 2.0% x years of participation in plan up to 25 years of service plus 1.5% x years of participation in plan in excess of 25 years of service. The pension benefit is payable as a life annuity. Pension valuation date: 1/1/2002 Funding interest rate 8.0% Normal retirement age: 65 No termination or death assumed prior to norma' retirement age Date of birth: 1/1/1952 Date of hire: 1/1/1977 Date of Participation: 1/1/1977 2001 Salary: $100,000 Future salary increases: 0% Present value of $1 payable for life, starting at age 65: 10 Asset value at 1/1/2002 $150,000 Asset value at 12/31/2002 $180,000 Calculate the normal cost and the unfunded actuarial iability as of 1/1/2002 under the following cost methods: (a) Traditional Unit Credit (b) Projected Unit Credit (c) Entry Age Normal (level percent of pay) (d) Aggregate (level percent of pay) Show all work and calculations. You are given the following for a pension plan covering one individual. Pension formula (as a % of final salary) 2.0% x years of participation in plan up to 25 years of service plus 1.5% x years of participation in plan in excess of 25 years of service. The pension benefit is payable as a life annuity. Pension valuation date: 1/1/2002 Funding interest rate 8.0% Normal retirement age: 65 No termination or death assumed prior to norma' retirement age Date of birth: 1/1/1952 Date of hire: 1/1/1977 Date of Participation: 1/1/1977 2001 Salary: $100,000 Future salary increases: 0% Present value of $1 payable for life, starting at age 65: 10 Asset value at 1/1/2002 $150,000 Asset value at 12/31/2002 $180,000 Calculate the normal cost and the unfunded actuarial iability as of 1/1/2002 under the following cost methods: (a) Traditional Unit Credit (b) Projected Unit Credit (c) Entry Age Normal (level percent of pay) (d) Aggregate (level percent of pay) Show all work and calculations