Question

1.2% * Service years * Final year's salary Stanley Mills was hired by Clark at the beginning of 1999. Mills is expected to retire at the end of 2043 after 45 years of service. His retirement is expected to span 15 years. At the end of 2018, 20 years after being hired, his salary is $82,000. The company's actuary projects Mills's salary to be $290,000 at retirement. The actuary's discount rate is 8%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 1. Estimate the amount of Stanley Mills's annual retirement payments for the 15 retirement years earned as of the end of 2018. 2. Suppose Clark's pension plan permits a lump-sum payment at retirement in lieu of annuity payments. Determine the lump-sum equivalent as the present value as of the retirement date of annuity payments during the retirement period. 3. What is the company's projected benefit obligation at the end of 2018 with respect to Stanley Mills? 4. Even though pension accounting centers on the PBO calculation, the ABO still must be disclosed in the pension disclosure note. What is the company's accumulated benefit obligation at the end of 2018 with respect to Stanley Mills? 5. If we assume no estimates change in the meantime, what is the company's projected benefit obligation at the end of 2019 with respect to Stanley Mills? 6. What portion of the 2019 increase in the PBO is attributable to 2019 service (the service cost component of pension expense) and to accrued interest (the interest cost component of pension expense)? (For all requirements, round final answers to the nearest whole dollars.) $ 69,600 1. Annual retirement payments 2. PV of retirement annuity 3. Projected benefit obligation 4. Accumulated benefit obligation 5. Projected benefit obligation 6. Service cost Interest cost

Answer 1

Stanley Mills Requirement 1 1.2% x service years x final year's salary 1.2% x 20 x 290,000 = $69,600 Requirement 2 Present value of the retirement benefits at the end of 2043: 69,600 x 8.5595 595,741 PVIFA (15 yrs, 8%) Requirement 3 PBO present value of the retirement benefits at the end of 2018: 595,741 x 0.1460 = 86,978 PVIF(25 Yrs, 8%) Requirement 4 1.2% x 20 x 82,000 =$19,680 19,680 x 8.5595 168,451 168,451 x 0.1460 24,594 PVIFA (15 yrs, 8%) PVIF(25 Yrs, 8%) Requirement 5 1.2% x 21 x 290,000 $73,080 73,080 x 8.5595 625,528 625,528 x 0.1577 = 98,646 PVIF(24 Yrs, 8%) Requirement 6 PBO at the end of 2019 98646 PBO at the end of 2018 -86978 Change in PBO 11668 Less: Interest cost (86,978 x 8%) -6958 4710 Service cost