Stanley-Morgan Industries adopted a defined benefit pension plan on April 12, 2021. The provisions of the plan were not made retroactive to prior years. A local bank, engaged as trustee for the plan assets, expects plan assets to earn a 10% rate of return. The actual return was also 10% in 2021 and 2022. A consulting firm, engaged as actuary, recommends 5% as the appropriate discount rate. The service cost is $180,000 for 2021 and $230,000 for 2022. Year-end funding is $190,000 for 2021 and $200,000 for 2022. No assumptions or estimates were revised during 2021.

Calculate each of the following amount as of both December 31, 2021and December 31, 2022.

a. Project benefit obligation
b. Plan asset
c. pension expenses

Respuesta :

Answer:

a.

December 31, 2021

PBO = $180,000

December 31, 2022

PBO = $419,000

b.

December 31, 2021

Plan Assets = $190,000

December 31, 2022

Plan Assets = $409,000

c.

December 31, 2021

Pension Expense = $180,000

December 31, 2022

Pension Expense = $220,000

Explanation:

a. Calculating Projected Benefits Obligation (PBO)

The PBO is current requirement of pension plan to cover the future obligations to its employees.

This is calculated as follows;

December 31, 2021

Balance on January 1: $0

Service Cost: $180,000

Interest Cost: $0

Benefits Paid: $0

PBO = Balance + Service Cost + Interest Cost - Benefits Paid

PBO = $0 + $180,000 + $0 - $0

PBO = $180,000

December 31, 2022

Balance on January 1: $180,000

Service Cost: $230,000

Interest Cost: $9,000 (5% of $180,000)

Benefits Paid: $0

PBO = Balance + Service Cost + Interest Cost - Benefits Paid

PBO = $180,000 + $230,000 + $9,000 - $0

PBO = $419,000

b. Calculating Plan Assets

Plan assets are assets of funded defined benefit plan. Such assets are managed by pension fund manager

This is calculated as follows;

December 31, 2021

Balance on January 1: $0

Actual Return on Plan: $0 (10% * $0)

Contribution Made: $190,000

Benefits Paid: $0

Plan Assets = Balance + Actual Return + Contribution Made - Benefits

Plan Assets = $0 + $0 + $190,000 - $0

Plan Assets = $190,000

December 31, 2022

Balance on January 1: $190,000

Actual Return on Plan: $19,000 (10% * $190,000)

Contribution Made: $200,000

Benefits Paid: $0

Plan Assets = Balance + Actual Return + Contribution Made - Benefits

Plan Assets = $190,000 + $19,000 + $200,000 - $0

Plan Assets = $409,000

c. Calculating Pension Expense

It is amount reported in income statement related to company's pension plan. It is expenses in relation to liabilities towards pension payable to employees

December 31, 2021

Service Cost: $180,000

Interest Cost: $0 (5% * $0)

Expected Return: $0 (10% * $0)

Pension Expense = Service Cost + Interest Cost - Expected Return

Pension Expense = $180,000 + $0 - $0

Pension Expense = $180,000

December 31, 2022

Service Cost: $230,000

Interest Cost: $9,000 (5% of $180,000)

Expected Return: $19,000 (10% * $190,000)

Pension Expense = Service Cost + Interest Cost - Expected Return

Pension Expense = $230,000 + $9,000 - $19,000

Pension Expense = $220,000

The calculation for each of the following amount as of both December 31, 2021 and December 31, 2022 are:

a. December 31, 2021

  • PBO = $180,000

December 31, 2022

  • PBO = $419,000

b. December 31, 2021

  • Plan Assets = $190,000

December 31, 2022

  • Plan Assets = $409,000

c. December 31, 2021

  • Pension Expense = $180,000

December 31, 2022

  • Pension Expense = $220,000

The Calculation and their Parameters

a. Calculating Projected Benefits Obligation (PBO

December 31, 2021

  • Balance on January 1: $
  • Service Cost: $180,000
  • Interest Cost: $0
  • Benefits Paid: $0

PBO = Balance + Service Cost + Interest Cost - Benefits Paid

Which is then

PBO = $0 + $180,000 + $0 - $0

PBO = $180,000

December 31, 2022

  • Balance on January 1: $180,000
  • Service Cost: $230,000
  • Interest Cost: $9,000 (5% of $180,000)
  • Benefits Paid: $0

PBO = Balance + Service Cost + Interest Cost - Benefits Paid

Which is then,

PBO = $180,000 + $230,000 + $9,000 - $0

PBO = $419,000

b. Calculating Plan Assets

December 31, 2021

  • Balance on January 1: $0
  • Actual Return on Plan: $0 (10% * $0)
  • Contribution Made: $190,000
  • Benefits Paid: $0

Plan Assets = Balance + Actual Return + Contribution Made - Benefits

Plan Assets = $0 + $0 + $190,000 - $0

Plan Assets = $190,000

December 31, 2022

  • Balance on January 1: $190,000
  • Actual Return on Plan: $19,000 (10% * $190,000)
  • Contribution Made: $200,000
  • Benefits Paid: $0

Plan Assets = Balance + Actual Return + Contribution Made - Benefits

With this,

Plan Assets = $190,000 + $19,000 + $200,000 - $0

Plan Assets = $409,000

c. Calculating Pension Expense

December 31, 2021

  • Service Cost: $180,000
  • Interest Cost: $0 (5% * $0)
  • Expected Return: $0 (10% * $0)

Pension Expense = Service Cost + Interest Cost - Expected Return

With this,

Pension Expense = $180,000 + $0 - $0

Pension Expense = $180,000

December 31, 2022

  • Service Cost: $230,000
  • Interest Cost: $9,000 (5% of $180,000)
  • Expected Return: $19,000 (10% * $190,000)

Pension Expense = Service Cost + Interest Cost - Expected Return

Pension Expense = $230,000 + $9,000 - $19,000

Pension Expense = $220,000

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