Sachs Brands\' defined benefit pension plan specifies annual retirement benefits
ID: 2512562 • Letter: S
Question
Sachs Brands' 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 2004 and is expected to retre at the end of 2038 after 35 years' service. Her retirement is expected to span 18 years. Davenport's salary is $95,000 at the end of 2018 and the company's actuary projects hersalary to be S30500 at retirement. The actuary's discount rate is 9% E of S of St of S. PVA of S1. FVAD of S1 and PVAD of SD (Use appropriate factorfa) 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 2018. 3. What is the company's projected benefit obligation at the end of 2018 with respect to Davenport? (Do not round intermediate calculations. Round your final answer to 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 2021 (three years later) with respect to Davenport? (Do not round intermediate calculations. Round your final answer to nearest whole doller) 24,440 2. Annual retirement payments 3. Projected benefit obligation 2018 4 Projected benefit obligation 2021Explanation / Answer
2) Anuual Retirement Payament ;-
= 1.2% * 15 * $95000
= $17100
3) Present Value of the retirement annuity as of the retirement date:-
= $17100 * 8.75563*
= $149721
*(Present Value of an ordinary annuity of $1, n = 18, i = 9% (from Table)
Present Value of the retirement benefits at the end of 2018 :-
= $149721 * 0.17843**
= $26715
**Present Value of $1, n = 20, i = 9% (from table)
4) Annual Retirement Payament = $17100
Present Value of the retirement annuity as of the retirement date = $149721
Present Value of the retirement benefits at the end of 2021 :-
= $149721 * 0.23107***
= $34596
***Present Value of $1, n = 17, i = 9% (from table)
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