Question

Sachs Brands's defined benefit pension plan specifies annual retirement benefits equal to 1.2% × service years × final year's salary, payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of 2007 and is expected to retire at the end of 2041 after 35 years' service. Her retirement is expected to span 18 years. Davenport's salary is $90,000 at the end of 2021 and the company's actuary projects her salary to be $280,000 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. What is the company's projected benefit obligation at the beginning of 2021 (after 14 years' service) with respect to Davenport? (Do not round intermediate calculations. Round your final answer to the nearest whole dollar.)
2. Estimate by the projected benefits approach the portion of Davenport's annual retirement payments attributable to 2021 service.
3. What is the company's service cost for 2021 with respect to Davenport? (Do not round intermediate calculations. Round your final answer to the nearest whole dollar.)
4. What is the company's interest cost for 2021 with respect to Davenport? (Do not round intermediate calculations. Round your final answer to the nearest whole dollar.)
5. Combine your answers to requirements 1, 3, and 4 to determine the company's projected benefit obligation at the end of 2021 (after 15 years' service) with respect to Davenport. (Do not round intermediate calculations. Round your final answer to the nearest whole dollar.)

Answer 1

Answer 1- Present benefit obligation:

= 1.2% * 14 years * $280,000

= $ 47,040 * 9.37188

= $ 440,853 * 0.19865

= $ 87,578

Note- Present value of ordinary annuity of $1 = 9.37188 (n =18 , I= 8%)

Present value of $1 = 0.19865 (n = 21, I=8%)

Answer 2- Annual retirement payments:-

= 1.2 % * 1* $ 280,000

= $3,360

Answer 3- Service cost

= $ 3,360 * 9.37188 * 0.21454

= $ 6,756

Note- Present value of ordinary annuity of $1 = 9.37188 (n =18 , I= 8%)

Present value of $1 = 0.21454 (n = 20, I=8%)

Answer 4- Interest cost:

= $87,578 *8%

= $ 7,006

Answer 5- Project Benefit obligation (PBO)

PBO at the beginning of 2021 = $87,578

Add: Sevice cost = $6,756

Interest cost = $7,006

PBO at the end of 2021 = $101,340