Final answer:
The ending balance of the pension plan assets will be $3,190,000.
Step-by-step explanation:
To calculate the balance of the pension plan assets at the end of the year, we need to consider the various components involved. First, let's calculate the pension expense for the year:
Service cost: $310,000
Interest cost: Opening PBO x Discount rate = $4.5 million x 6% = $270,000
Expected return on plan assets: Opening plan assets x Expected return rate = $4 million x 8% = $320,000
Prior service cost amortization: $500,000 / Average remaining service period = $500,000 / 10 = $50,000
Net loss or gain: 0 (no unamortized gains or losses)
Therefore, the total pension expense for the year is $310,000 + $270,000 + $320,000 + $50,000 = $950,000.
To calculate the ending balance of the pension plan assets, we need to consider the following:
Beginning plan assets: $4 million
Actual return on plan assets: Opening plan assets x Actual return rate = $4 million x 5% = $200,000
Contributions to the plan: $340,000
Benefit payments to retirees: $400,000
Pension expense for the year: $950,000
Therefore, the ending balance of the pension plan assets will be:
Beginning plan assets + Actual return on plan assets + Contributions - Benefit payments - Pension expense
$4 million + $200,000 + $340,000 - $400,000 - $950,000 = $3,190,000