beginning PBO + current service cost + interest expense + past service cost +/- actuarial loss/gain - benefit paid + employee contribution = ending PBO
beginning FV of plan assets + actual return - benefit paid employer contribution + employer contribution + employee contribution = ending FV of plan assets
UPDATE:
AS PER CFAI ONLINE PRACTICE QUESTION FR&A Q.52 ITEM SET “Austell Industries Case Scenario”, EMPLOYER CONTRIBUTION AND EMPLOYEE CONTRIBUTION ARE INCLUDED IN THESE FORMULAS. SEE SOLUTION BELOW
Q. The benefits paid (in millions) from Austell’s pension plan in 2014 is closest to:
- £55.0.
- £53.5.
- £74.0.
Solution
A is correct. Benefits paid can be determined either from focusing on the change in pension plan assets or from the change in the benefit obligation over the year, as follows:
**(£ millions)****Calculations **From the change in plan assets: Assets at start of year £4,038.0 Actual return on assets –751.0 –18.6% × 4,038.0 Employer contributions 74 Employee contributions 1.5 Benefits paid –X To be solved for Asset at end of year £3,307.5 Solve for X: £55.0 Alternatively, from the change in the benefit obligation: Benefit obligation at start of year £3,651.2 Current service cost 57.4 Plan amendments –189.0 Interest cost 240.9 6.6% × 3,651.2 Employee contributions 1.5 Benefits paid –X To be solved for Actuarial gain –274.7 Benefit obligation at end of year £3,432.3 Solve for X: £55.0
B is incorrect because it ignores the employee contributions: 55.0 – 1.5 = 53.5 (using either assets or liabilities).
C is incorrect because this is just the employer contribution of 74.