In: Accounting
Range Co. offers a postretirement benefit plan. Range estimates the following benefit payments for Reg Vick after he retires on January 1, 2024: 2024 and 2025,
$18,200 per year; 2026, $32,100; 2027 through 2029, $25,800 per year. Assume end- of-year payments.
On December 31, 2016, Vick has completed 12 of his 16 years of eligibility. The discount rate is 5.15%. The plan is unfunded (no plan assets). Use the following present value factors for a lump sum payment of $1 at 5.15% for n periods:
0.951 |
1 |
0.740 |
6 |
0.576 |
11 |
0.448 |
16 |
0.348 |
21 |
||||
0.904 |
2 |
0.704 |
7 |
0.547 |
12 |
0.426 |
17 |
0.331 |
22 |
||||
0.860 |
3 |
0.669 |
8 |
0.521 |
13 |
0.405 |
18 |
0.315 |
23 |
||||
0.818 |
4 |
0.636 |
9 |
0.495 |
14 |
0.385 |
19 |
0.300 |
24 |
||||
0.778 |
5 |
0.605 |
10 |
0.471 |
15 |
0.366 |
20 |
0.285 |
25 |
Answer the following for Vick’s benefits (WATCH THE DATES!):
Calculation of Service cost for 2017 | ||||||
Period | Year | Cash flows | PVF | Discounted Cashflows | ||
0 | 2016 | $ - | 1.000 | $ - | ||
1 | 2017 | $ - | 0.951 | $ - | ||
2 | 2018 | $ - | 0.904 | $ - | ||
3 | 2019 | $ - | 0.860 | $ - | ||
4 | 2020 | $ - | 0.818 | $ - | ||
5 | 2021 | $ - | 0.778 | $ - | ||
6 | 2022 | $ - | 0.740 | $ - | ||
7 | 2023 | $ - | 0.704 | $ - | ||
8 | 2024 | $ 18,200.00 | 0.669 | $ 12,176.00 | ||
9 | 2025 | $ 18,200.00 | 0.636 | $ 11,575.00 | ||
10 | 2026 | $ 32,100.00 | 0.605 | $ 19,421.00 | ||
11 | 2027 | $ 25,800.00 | 0.576 | $ 14,861.00 | ||
12 | 2028 | $ 25,800.00 | 0.547 | $ 14,113.00 | ||
13 | 2029 | $ 25,800.00 | 0.521 | $ 13,442.00 | ||
Service cost for 2017 | $ 85,588.00 | |||||