Question

Sachs Brands's defined benefit pension plan specifies annual retirement benefits equal to 1.6% × 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 $240,000 at retirement. The actuary's discount rate is 7%. (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: 2. Estimate by the projected benefits approach the amount of Davenport's annual retirement payments earned as of the end of 2021. 3. What is the company's projected benefit obligation at the end of 2021 with respect to Davenport? (Do not round intermediate calculations. Round your final answer to the nearest whole dollar.) 4. If no estimates are changed in the meantime, what will be the company's projected benefit obligation at the end of 2024 (three years later) with respect to Davenport? (Do not round intermediate calculations. Round your final answer to the nearest whole dollar.)

Answer 1

Answer:

Kindly check explanation

Explanation:

Given the following :

Annual retirement benefit plan: (1.6% * service years * final years' salary

Year of hire = beginning of 2007

Retiremet year = 2041

Years of service = 35

Required: 2. Estimate by the projected benefits approach the amount of Davenport's annual retirement payments earned as of the end of 2021.

1.6% * service years * final years' salary

Service years = 2021 - beginning of 2007 = 15 years on service

Salary at the end of 2021 = $90000

Hence,

1.6% * 15 * 90000 = $21,600

3. What is the company's projected benefit obligation at the end of 2021 with respect to Davenport?

Period (n) = Retiremet span = 18 years ; rate (r) = 7% ;

Present value of ordinary annuity $1 ; n = 18 ; r = 7% = 10.0591

$21,600 * 10.0591 = $217,276.56

= $217,277

Present value of retirement benefit at the end of 2041

PV factor $1 ; period (2041 - 2021) = 20 ; r = 7% = 0.258

$217,277 * 0.258 = $56,057.466

$56,057

4. If no estimates are changed in the meantime, what will be the company's projected benefit obligation at the end of 2024 (three years later) with respect to Davenport?

1.6% × 18 years × $90000 = $25920

Present value of ordinary annuity $1 ; n = 18 ; r = 7% = 10.0591

$25920 × 10.0591 = $260732

PV factor $1 ; period (2041 - 2021) = 20 - 3 = 17; n = 17 ; r = 7% = 0. 317

$260732 × 0.317 = $82652.044 = $82652