Kenseth Corp. has the following beginning-of-the-year present values for its projected benefit obligation and market-related values for its pension plan assets. Projected Plan Benefit Assets Obligation Value 2016 \(2,000,000 \)1,900,000 2017 2,400,000 2,500,000 2018 2,950,000 2,600,000 2019 3,600,000 3,000,000 The average remaining service life per employee in 2016 and 2017 is 10 years and in 2018 and 2019 is 12 years. The net gain or loss that occurred during each year is as follows: 2016, \(280,000 loss; 2017, \)90,000 loss; 2018, \(11,000 loss; and 2019, \)25,000 gain. (In working the solution, the gains and losses must be aggregated to arrive at year-end balances.) Instructions Using the corridor approach, compute the amount of net gain or loss amortized and charged to pension expense in each of the four years, setting up an appropriate schedule.

Step by step solution

01

 Step 1: Firstly, we will ascertain the amount of accumulated OCI and the minimum amortization of loss for 2017, 2018, and 2019.

$$\begin{gathered} \mathbf{Minimum}\mathbf{}\mathbf{}\mathbf{amortization}\mathbf{}\mathbf{of}\mathbf{}\mathbf{}{\mathbf{loss}}_{\mathbf{2017}}\mathbf{=}\frac{\mathbf{Accumulated}\mathbf{}{\mathbf{OCI}}_{\mathbf{2017}}\mathbf{-}\left(\mathbf{Corridor}\mathbf{\times }\frac{\mathbf{10}}{\mathbf{100}}\right)}{\mathbf{Number}\mathbf{}\mathbf{of}\mathbf{}\mathbf{}\mathbf{years}} \\ \mathbf{=}\frac{\mathbf{\$}\mathbf{280}\mathbf{,}\mathbf{000}\mathbf{-}\left(\mathbf{\$}\mathbf{2}\mathbf{,}\mathbf{500}\mathbf{,}\mathbf{000}\mathbf{\times }\frac{\mathbf{10}}{\mathbf{100}}\right)}{\mathbf{10}\mathbf{years}} \\ \mathbf{=}\mathbf{\$}\mathbf{3}\mathbf{,}\mathbf{000} \\ \mathbf{Accumulated}\mathbf{}{\mathbf{OCI}}_{\mathbf{2017}}\mathbf{=}\mathbf{Accumulated}\mathbf{}{\mathbf{OCI}}_{\mathbf{2017}}\mathbf{-}\mathbf{Minimum}\mathbf{}\mathbf{amortization}\mathbf{}\mathbf{of}\mathbf{}\mathbf{}{\mathbf{loss}}_{\mathbf{2017}}\mathbf{+}\mathbf{Loss} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{280}\mathbf{,}\mathbf{000}\mathbf{-}\mathbf{\$}\mathbf{3}\mathbf{,}\mathbf{000}\mathbf{+}\mathbf{\$}\mathbf{90}\mathbf{,}\mathbf{000} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{367}\mathbf{,}\mathbf{000} \\ \mathbf{Minimum}\mathbf{}\mathbf{amortization}\mathbf{}\mathbf{of}\mathbf{}\mathbf{}{\mathbf{loss}}_{\mathbf{2018}}\mathbf{=}\frac{\mathbf{Accumulated}\mathbf{}{\mathbf{OCI}}_{\mathbf{2017}}\mathbf{-}\mathbf{(}\mathbf{Corridor}\mathbf{\times }\frac{\mathbf{10}}{\mathbf{100}}\mathbf{)}}{\mathbf{Number}\mathbf{}\mathbf{of}\mathbf{}\mathbf{years}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{367}\mathbf{,}\mathbf{000}\mathbf{-}\mathbf{(}\mathbf{\$}\mathbf{2}\mathbf{,}\mathbf{950}\mathbf{,}\mathbf{000}\mathbf{\times }\frac{\mathbf{10}}{\mathbf{100}}\mathbf{)}}{\mathbf{12}\mathbf{years}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{6}\mathbf{,}\mathbf{000} \end{gathered}$$

$$\begin{gathered} \mathbf{Accumulated}\mathbf{}{\mathbf{OCI}}_{\mathbf{2019}}\mathbf{=}\mathbf{Accumulated}\mathbf{}{\mathbf{OCI}}_{\mathbf{2018}}\mathbf{-}\mathbf{Minimum}\mathbf{}\mathbf{amortization}\mathbf{}\mathbf{of}\mathbf{}{\mathbf{loss}}_{\mathbf{2018}}\mathbf{+}\mathbf{Loss} \\ \mathbf{=}\mathbf{\$}\mathbf{367}\mathbf{,}\mathbf{000}\mathbf{-}\mathbf{\$}\mathbf{6}\mathbf{,}\mathbf{000}\mathbf{+}\mathbf{\$}\mathbf{11}\mathbf{,}\mathbf{000} \\ \mathbf{=}\mathbf{\$}\mathbf{372}\mathbf{,}\mathbf{000} \\ \mathbf{Minimum}\mathbf{}\mathbf{amortization}\mathbf{}\mathbf{of}\mathbf{}{\mathbf{loss}}_{\mathbf{2019}}\mathbf{=}\frac{\mathbf{Accumulated}\mathbf{}{\mathbf{OCI}}_{\mathbf{2019}}\mathbf{-}\mathbf{(}\mathbf{Corridor}\mathbf{\times }\frac{\mathbf{10}}{\mathbf{100}}\mathbf{)}}{\mathbf{Number}\mathbf{}\mathbf{of}\mathbf{}\mathbf{years}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{372}\mathbf{,}\mathbf{000}\mathbf{-}\mathbf{(}\mathbf{\$}\mathbf{3}\mathbf{,}\mathbf{600}\mathbf{,}\mathbf{000}\mathbf{\times }\frac{\mathbf{10}}{\mathbf{100}}\mathbf{)}}{\mathbf{12}\mathbf{years}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{,}\mathbf{000} \end{gathered}$$

02

Computation of Corridor and Minimum Loss Amortization

Year	Projected Benefit Obligation	Plan Assets	Corridor @10%	Accumulated OCI	Minimum Amortization of Loss
2016	$2,000,000	$1,900,000	$200,000	0	0
2017	$2,400,000	$2,500,000	$250,000	$280,000	$3,000
2018	$2,950,000	$2,600,000	$295,000	$367,000	$6,000
2019	$3,600,000	$3,000,000	$360,000	$372,000	$1,000

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