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DERIVATIONS — CPA Adapted No. Answer Derivation

In document ch20-11 (Page 22-40)

66. d $120,000 + $30,000 + ($120,000 × .10) – $25,000 = $137,000.

67. b Conceptual.

68. a ($350,000 + $140,000) – ($350,000 + $56,000) = $84,000.

69. c $480,000 + $48,000 – $165,000 + $120,000 = $483,000.

70. a $480,000 – $400,000 + $60,000 = $140,000.

71. c $1,780,000 – $1,600,000 = $180,000.

72. c Conceptual.

73. b Conceptual.

74. d $3,720,000 – $3,000,000 = $720,000.

75. d Conceptual.

EXERCISES

Ex. 20-76—Pension accounting terminology.

Briefly explain the following terms:

(a) Service cost (b) Interest cost (c) Prior service cost (d) Vested benefits

Solution 20-76

(a) The service cost component of pension expense is the actuarial present value of benefits attributed by the pension benefit formula to employee service during the current period.

(b) The interest cost component of pension expense is the interest for the period on the projected benefit obligation outstanding during the period. To simplify the calculation, the amount of interest is computed by applying a single rate to the beginning balance of the projected benefit obligation.

(c) When a defined benefit plan is initiated or amended, credit that is given to employees for service provided before the date of initiation or amendment results in prior service cost. The amount of prior service cost is computed by an actuary.

(d) Vested benefits are those the employee is entitled to receive even if the employee is no longer employed under the plan.

Ex. 20-77—Pension assets.

Discuss the following ideas related to pension assets:

(a) Market-related asset value.

(b) Actual return on plan assets.

(c) Expected return on plan assets.

(d) Unexpected gains and losses on plan assets.

Solution 20-77

(a) Market-related asset value is a moving average of pension plan assets calculated over not more than five years.

(b) The actual return on plan assets is computed by finding the change in the fair value of plan assets during the period. This change is adjusted by deducting contributions and adding benefits paid out during the year.

(c) The expected return on plan assets is found by multiplying the expected rate of return by the market-related asset value at the beginning of the period.

(d) An unexpected asset gain occurs when the actual return on plan assets is greater than the expected return on plan assets and an unexpected loss occurs when the actual return is less than the expected return.

Ex. 20-78—Measuring and recording pension expense.

Gregory, Inc. received the following information from its pension plan trustee concerning the operation of the company's defined benefit pension plan for the year ended December 31, 2004:

January 1, 2004 December 31, 2004 Projected benefit obligation $3,500,000 $3,990,000

Market-related asset value 1,750,000 2,240,000

Accumulated benefit obligation 2,700,000 3,670,000 Unrecognized net (gains) and losses -0- 420,000

The service cost component for 2004 is $310,000 and the amortization of prior service cost is

$240,000. The company's actual funding of the plan in 2004 amounted to $710,000. The expected return on plan assets and the settlement rate were both 8%.

Instructions

(a) Determine the pension expense to be reported in 2004.

(b) Prepare the journal entry to record pension expense and the employers' contribution to the pension plan in 2004.

Solution 20-78

(a) Service cost $310,000

Interest on projected benefit obligations ($3,500,000 × 8%) 280,000 Expected return on plan assets ($1,750,000 × 8%) (140,000)

Amortization of prior service cost 240,000

Pension expense—2004 $690,000

Solution 20-78 (cont.)

(b) Pension Expense ... 690,000 Prepaid/Accrued Pension Cost ... 20,000

Cash ... 710,000

Ex. 20-79—Additional pension liability.

Reese Co. had the following selected balances at December 31, 2004:

Projected benefit obligation $4,700,000

Accumulated benefit obligation 4,500,000

Fair value of plan assets 4,340,000

Unrecognized prior service cost 120,000

Accrued pension cost 50,000

Instructions

(a) Calculate the additional pension liability.

(b) Prepare the journal entry to record the additional pension liability. There was no additional pension liability balance at the beginning of the year.

Solution 20-79

(a) Accumulated benefit obligation $4,500,000

Fair value of plan assets 4,340,000

Minimum liability 160,000

Accrued pension cost 50,000

Additional liability $ 110,000

(b) Intangible Asset—Deferred Pension Cost ... 110,000

Additional Pension Liability ... 110,000

Ex. 20-80—Pension plan calculations and journal entry.

On January 1, 2004, Stine Co. had the following balances:

Projected benefit obligation $3,700,000

Fair value of plan assets 3,700,000

Other data related to the pension plan for 2004:

Service costs 140,000

Unrecognized prior service cost -0-

Contributions to the plan 224,000

Benefits paid 200,000

Actual return on plan assets 222,000

Settlement rate 9%

Expected rate of return 6%

Ex. 20-80 (cont.) Instructions

(a) Determine the projected benefit obligation at December 31, 2004. There are no net gains or losses.

(b) Determine the fair value of plan assets at December 31, 2004.

(c) Calculate pension expense for 2004.

(d) Prepare the journal entry to record pension expense and the contributions for 2004.

Solution 20-80

(a) Projected benefit obligation, January 1 $3,700,000

Service cost 140,000

Interest cost (9% × $3,700,000) 333,000

Benefits paid (200,000)

Projected benefit obligation, December 31 $3,973,000 (b) Fair value of plan assets, January 1 $3,700,000

Actual return 222,000

Contributions 224,000

Benefits paid (200,000)

Fair value of plan assets, December 31 $3,946,000

(c) Service cost $140,000

Interest cost (9% × $3,700,000) 333,000 Actual return on plan assets (222,000)

Pension expense $251,000

(d) Pension Expense ... 251,000

Accrued/Prepaid Pension Cost ... 27,000 Cash ... 224,000

Ex. 20-81—Pension plan calculations and entries.

Information about the pension plan of Crown Co. is as follows:

12/31/03 12/31/04 Accumulated benefit obligation $4,600,000 $4,810,000 Projected benefit obligation 4,650,000 5,020,000 Unrecognized prior service cost 1,800,000 1,600,000

Fair value of plan assets 4,550,000 4,720,000

Market-related value of assets 4,700,000 4,790,000

Pension expense 1,000,000 1,200,000

Contribution 985,000 1,160,000

Discount rate (for year) 9% 8%

Accrued pension cost was $5,000 at January 1, 2003 and $20,000 at January 1, 2004.

Ex. 20-81 (cont.) Instructions

(a) What is the corridor for 2004?

(b) Calculate the minimum liability at December 31, 2004.

(c) Prepare entries for 2004 to record the pension expense and contribution, and to record the pension liability.

Solution 20-81

(a) .10 × $4,650,000 = $465,000; .10 × $4,700,000 = $470,000 The corridor is the larger, $470,000.

(b) Accumulated benefit obligation $4,810,000

Fair value of plan assets (4,720,000)

Minimum liability $ 90,000

(c) Pension Expense ... 1,200,000

Prepaid/Accrued Pension Cost ... 40,000 Cash ... 1,160,000

Intangible Asset—Deferred Pension Cost ... 30,000

Additional Pension Liability ... 30,000

Minimum liability $90,000

Accrued pension cost, 1/1/04 $20,000

Accrued 2004 40,000 (60,000)

Additional liability $30,000

Ex. 20-82—Corridor amortization.

Explain corridor amortization.

Solution 20-82

The FASB invented the corridor approach for amortizing pension plan gains and losses when they get too large. The unrecognized net gain or loss gets too large when it exceeds the arbitrarily selected criterion of 10% of the larger of the beginning balances of the projected benefit obligation or the market-related asset value. Any systematic method of amortizing the excess unrecognized gain or loss may be used but it cannot be less than the amount computed using the straight-line over the average remaining service-life of all active employees.

Ex. 20-83—Corridor approach amortization of net gains and losses.

Marin Company has 200 employees who are expected to receive benefits under the company's defined benefit pension plan. The total number of service-years of these employees is 2,000.

The actuary for the company's pension plan calculated the following net gains and losses:

For the Year Ended

December 31 (Gain) Or Loss

2003 $440,000

2004 (396,000)

2005 660,000

Prior to 2003, there was no unrecognized net gain or loss.

Information about the company's projected benefit obligation and market-related asset values follows:

As of January 1 2003 2004 2005 Projected benefit obligation $1,400,000 $1,560,000 $1,960,000 Market-related asset values 1,120,000 1,640,000 1,700,000 Instructions

Based on the above information about Marin Company, prepare a schedule which reflects the amount of unrecognized net gain or loss to be amortized by the company as a component of pension expense for the years 2003, 2004, and 2005. The company amortizes unrecognized net gains or losses using the straight-line method over the average service life of participating employees.

Solution 20-83

Corridor Test and Gain/Loss Amortization Schedule

Beginning of Year Cumulative

PBO Plan Assets Corridor (Gain) Or Loss Amortization 2003 $1,400,000 $1,120,000 $140,000 $ -0- $ -0-

2004 1,560,000 1,640,000 164,000 440,000 27,600*

2005 1,960,000 1,700,000 196,000 16,400** -0-

Average Service Years = 2,000 ÷ 200 = 10 years

*$440,000 – $164,000 = $276,000 ÷ 10 = $27,600

**$440,000 – $396,000 – $27,600 = $16,400.

Ex. 20-84—Pension reconciliation schedule.

Drennen Company has available the following information about its defined benefit pension plan for the year ending December 31, 2004:

Service cost for 2004 $ 36,000

Accumulated benefit obligation 984,000

Plan assets at fair value 906,000

Unrecognized prior service cost 432,000

Vested benefit obligation 726,000

Market-related asset value 1,044,000

Projected benefit obligation 1,248,000

Unrecognized net gain 114,000

Interest on projected benefit obligation 90,000

Additional pension liability 54,000

Instructions

Prepare a schedule which reconciles the funded status of the pension plan with the amounts reported in Drennen Company's balance sheet at December 31, 2004.

Solution 20-84

Drennen Company

Pension Reconciliation Schedule For Year Ended December 31, 2004 Actuarial present value of benefit obligations:

Vested benefit obligation $726,000

Accumulated benefit obligation $984,000

Projected benefit obligation $(1,248,000)

Plan assets at fair value 906,000

Projected benefit obligation in excess of plan assets (342,000)

Unrecognized prior service cost 432,000

Unrecognized net (gain) or loss (114,000)

Prepaid/accrued pension cost (24,000)

Additional pension liability (54,000)

Accrued pension cost liability recognized in the balance sheet $ (78,000)

Ex. 20-85—Pension plan calculations.

The following information is for the pension plan for the employees of Stein, Inc.

12/31/03 12/31/04 Accumulated benefit obligation $4,200,000 $5,640,000 Projected benefit obligation 4,500,000 6,000,000 Fair value of plan assets 4,600,000 5,280,000 Market-related value of assets 4,400,000 5,160,000

Net (gain) or loss (640,000) (720,000)

Settlement rate 8% 8%

Expected rate of return 7% 6%

Ex. 20-85 (cont.)

Stein estimates that the average remaining service life is 15 years. Stein's contribution was

$780,000 in 2004 and benefits paid were $420,000.

Instructions

(a) Calculate the interest cost for 2004.

(b) Calculate the actual return on plan assets in 2004.

(c) Calculate the unexpected gain or loss in 2004.

(d) Calculate the corridor for 2004 and the amortization of the net gain for 2004.

Solution 20-85

(a) $4,500,000 × 8% = $360,000

(b) Fair value of plan assets (12/31/04) $5,280,000 Fair value of plan assets (1/1/04) (4,600,000)

680,000

Contributions (780,000)

Benefits paid 420,000

Actual return on plan assets $ 320,000

(c) Actual return (see b.) $ 320,000

Expected return ($4,400,000 × 6%) 264,000

Unexpected gain $ 56,000

(d) .10 × $4,400,000 = $440,000; .10 × $4,500,000 = $450,000.

The corridor is the larger, $450,000.

$640,000 – $450,000 = $190,000; $190,000 ÷ 15 = $12,667 amortization of net gain.

Ex. 20-86—Measuring and recording pension expense.

Presented below is information related to Major Department Stores, Inc. pension plan for 2004.

Accumulated benefit obligation (at year-end) $450,000

Service cost 390,000

Funding contribution for 2004 375,000

Settlement rate used in actuarial computation 10%

Expected return on plan assets 9%

Amortization of prior service cost 75,000

Amortization of unrecognized net gains 36,000

Projected benefit obligation (at beginning of period) 360,000 Market-related asset value (at beginning of period) 270,000 Instructions

(a) Compute the amount of pension expense to be reported for 2004. (Show computations.) (b) Prepare the journal entry to record pension expense and the employer's contribution for

2004.

Solution 20-86

(a) Service cost $390,000

Interest on projected benefit obligation ($360,000 × 10%) 36,000 Expected return on plan assets ($270,000 × 9%) (24,300)

Amortization of prior service cost 75,000

Amortization of unrecognized net gains (36,000)

Pension expense—2004 $440,700

(b) Pension Expense ... 440,700

Prepaid/Accrued Pension Cost ... 65,700 Cash ... 375,000

*Ex. 20-87—Computing and recording postretirement expense.

The following information is related to the Santo Co. postretirement benefits plan for 2004:

Service cost $ 210,000

Discount rate 10%

EPBO, January 1, 2004 1,025,000

APBO, January 1, 2004 800,000

Unrecognized transition amount amortization 41,000 Actual return on plan assets in 2004 28,000 Expected return on plan assets in 2004 36,500

Contributions (funding) 280,000

Instructions

(a) Compute the amount of postretirement expense for 2004. (Show computations.)

(b) Prepare the journal entry to record postretirement expense and Santo's contributions for 2004.

*Solution 20-87

(a) Service cost $210,000

Interest cost (10% × $800,000) 80,000

Amortization of transition amount 41,000

Actual return on plan assets (28,000)

Unexpected loss (8,500)

Postretirement expense—2004 $294,500

(b) Postretirement Expense ... 294,500

Cash ... 280,000 Prepaid/Accrued Cost ... 14,500

*Ex. 20-88—Computing postretirement expense and APBO.

The following information is related to the postretirement benefits plan of Gordon, Inc. for 2004:

Service cost $ 210,000

Discount rate 8%

APBO, January 1, 2004 1,600,000

EPBO, January 1, 2004 1,800,000

Actual return on plan assets in 2004 78,000 Expected return on plan assets in 2004 71,600 Amortization of unrecognized transition amount 80,400 Amortization of unrecognized net gain 5,400

Contributions (funding) 300,000

Benefit payments 156,000

Instructions

(a) Compute the amount of postretirement expense for 2004. (Show computations.) (b) Compute the amount of the APBO at December 31, 2004.

*Solution 20-88

(a) Service cost $210,000

Interest cost (8% × $1,600,000) 128,000

Actual return on plan assets (78,000)

Unexpected gain 6,400

Amortization of transition amount 80,400

Amortization of net gain (5,400)

Postretirement expense—2004 $341,400

(b) APBO, January 1, 2004 $1,600,000

Service cost 210,000

Interest cost 128,000

Benefit payments (156,000)

APBO, December 31, 2004 $1,782,000

PROBLEMS

Pr. 20-89—Measuring and recording pension expense.

Presented below is information related to the pension plan of Vector Inc. for the year 2004.

1. The service cost of pension expense is $450,000 using the projected benefits approach.

2. The projected benefit obligation and the accumulated benefit obligation at the beginning of the year are $560,000 and $525,000, respectively. The expected return on plan assets is 9% and the settlement rate is 10%

3. The unrecognized prior service cost at the beginning of the year is $260,000. The company has a workforce of 200 employees, all who are expected to receive benefits under the plan.

The total number of service-years is 1,000 and the service-years attributable to 2004 is 200.

The company has decided to use the years-of-service method of amortization for these costs.

4. At the beginning of the period, the market-related asset value was $525,000 and the fair value of pension plan assets, $530,000. The company had an unrecognized net loss at the beginning of the period of $170,000. Any amortization of unrecognized net loss is recognized on a straight-line basis over the average remaining service-life of the employees.

5. The contribution made to the pension fund in 2004 was $435,000.

Instructions

(a) Determine the pension expense to be reported on the income statement for 2004. (Round all computations to nearest dollar.)

(b) Prepare the journal entry(ies) to record pension expense for 2004.

Solution 20-89

(a) Service cost (projected benefits approach) $450,000 Interest on projected benefit obligation (10% × $560,000) 56,000 Expected return on plan assets (9% × $525,000) (47,250)

Amortization of prior service cost (1) 52,000

Amortization of loss (2) 22,800

Pension expense $533,550

(1) $260,000

———— = $260

1,000

200 × $260 = $52,000

Solution 20-89 (cont.)

(2) Market-related asset value $525,000

10%

$ 52,500

Projected benefit obligation $560,000

10%

$ 56,000

Net loss (beginning of period) $170,000 Higher of 10% of projected benefit obligation or market-related

asset value 56,000

Amount to be amortized $114,000

1,000 Expected Future Years of Service

——— —————————————

200 = Number of Employees —— = 5 years $114,000

———— = $22,800 5 years

(b) Pension Expense ... 533,500

Prepaid/Accrued Pension Cost ... 98,550 Cash ... 435,000

Pr. 20-90—Preparing a pension work sheet.

The accountant for Neeman Corporation has developed the following information for the company's defined benefit pension plan for 2004:

Service cost $ 800,000

Actual return on plan assets 420,000

Annual contribution to the plan 440,000

Amortization of unrecognized prior service cost 168,000

Benefits paid to retirees 96,000

Settlement rate 10%

Expected rate of return on plan assets 8%

The accumulated benefit obligation at December 31, 2004, amounted to $6,800,000.

Instructions

(a) Using the above information for Neeman Corporation, complete the pension work sheet for 2004. Indicate (credit) entries by parentheses. Calculated amounts should be supported.

(b) Prepare the journal entries to reflect the accounting for the company's pension plan for the year ending December 31, 2004.

Pr. 20-90 (cont.) Neeman Corporation Pension Work Sheet—2004

——————————————————————————————————————————————————————————

General Journal Entries Memo Entries

——————————————————————————————————————————————————————————

Unrecog- Unrecog-

nized nized

Annual Prepaid/ Addi- Projected Prior Net

Pension (Accrued) tional Pension Benefit Plan Service (Gain) Expense Cash Cost Liability Intangible Obligation Assets Cost or Loss

——————————————————————————————————————————————————————————

Bal., Dec. 31, 2003 (600,000) (6,000,000) 4,400,000 1,000,000

——————————————————————————————————————————————————————————

Service Cost

——————————————————————————————————————————————————————————

Interest Cost

——————————————————————————————————————————————————————————

Actual return

——————————————————————————————————————————————————————————

Unexpected gain/loss

——————————————————————————————————————————————————————————

Amortization of PSC

——————————————————————————————————————————————————————————

Contributions

——————————————————————————————————————————————————————————

Benefits

——————————————————————————————————————————————————————————

Unrecognized gain/loss amort.

——————————————————————————————————————————————————————————

Minimum liability adjustment Journal entry

for 2004

Balance,

Dec. 31, 2004

Solution 20-90 Neeman Corporation Pension Work Sheet—2004

——————————————————————————————————————————————————————————

General Journal Entries Memo Entries

——————————————————————————————————————————————————————————

Unrecog- Unrecog-

nized nized

Annual Prepaid/ Addi- Projected Prior Net

Pension (Accrued) tional Pension Benefit Plan Service (Gain) Expense Cash Cost Liability Intangible Obligation Assets Cost or Loss

——————————————————————————————————————————————————————————

Bal., Dec. 31, 2003 (600,000) (6,000,000) 4,400,000 1,000,000

——————————————————————————————————————————————————————————

Service Cost 800,000 (800,000) Accounting for Pensions and Postretirement Benefits

——————————————————————————————————————————————————————————

Interest Cost (1) 600,000 (600,000)

——————————————————————————————————————————————————————————

Actual return (420,000) 420,000

——————————————————————————————————————————————————————————

Unexpected

gain/loss (2) 68,000 (68,000)

——————————————————————————————————————————————————————————

Amortization

of PSC 168,000 (168,000)

——————————————————————————————————————————————————————————

Contributions (1,440,000) 1,440,000

——————————————————————————————————————————————————————————

Benefits 96,000 (96,000)

——————————————————————————————————————————————————————————

Unrecognized gain/loss amort.

——————————————————————————————————————————————————————————

Minimum liability

adjustment (3) (260,000) 260,000 Journal entry

for 2004 1,216,000 (1,440,000) 224,000 Balance,

Dec. 31, 2004 (376,000) (260,000) 260,000 (7,304,000) 6,164,000 832,000 (68,000)

Solution 20-90 (cont.)

(1) $6,000,000 × 10% = $600,000

(2) $420,000 – ($4,400,000 × 8%) = $68,000

(3) Accumulated Benefit Obligation $(6,800,000) Plan assets at fair value 6,164,000

Unfunded accumulated benefit (636,000) Minimum Liability Prepaid/Accrued Pension Cost (376,000)

Additional liability $ (260,000)

(b) Pension Expense ... 1,216,000 Prepaid/Accrued Pension Cost ... 224,000

Cash ... 1,440,000 Intangible Asset—Deferred Pension Cost ... 260,000

Additional Pension Liability ... 260,000

Pr. 20-91—Amortization of prior service cost using years-of-service method.

On January 1, 2003, Lawson Incorporated amended its pension plan which caused an increase of $4,800,000 in its projected benefit obligation. The company has 400 employees who are expected to receive benefits under the company's defined benefit pension plan. The personnel department provided the following information regarding expected employee retirements:

Expected Retirements

Number of Employees On December 31

40 2003

120 2004

60 2005

160 2006

20 2007 400

The company plans to use the years-of-service method in calculating the amortization of unrecognized prior service cost as a component of pension expense.

Instructions

Prepare a schedule which shows the amount of annual prior service cost amortization that the company will recognize as a component of pension expense from 2003 through 2007.

Solution 20-91

Cost Per Service Year: $4,800,000 ÷ 1,200 = $4,000.

Lawson Incorporated

Computation of Annual Prior Service Cost Amortization

Total Cost Per Annual

Year Service-Years Service-Year Amortization

2003 400 $4,000 $1,600,000

Pr. 20-92—Measuring, recording, and reporting pension expense and liability.

Eckert, Inc. on January 1, 2004 initiated a noncontributory-defined benefit pension plan that grants benefits to its 100 employees for services rendered in years prior to the adoption of the pension plan. The total expected service-years of the 100 employees who are expected to receive benefits under the plan is 1,200. An actuarial consulting firm has indicated that the present value of the projected benefit obligation on January 1, 2004 was $3,780,000. On December 31, 2004 the following information was provided concerning the pension plan's operations for its first year.

Employer's contribution at end of year $1,200,000

Service cost 450,000

Accumulated benefit obligation 3,820,000

Projected benefit obligation 4,500,000

Plan assets (at fair value) 1,200,000

Market-related asset value 1,200,000

Expected return on plan assets 9%

Settlement rate 8%

Instructions

(a) What is the prior service cost at January 1, 2004?

(b) Compute the pension expense recognized in 2004. Assume the prior service cost is amortized over the average remaining service life of the employees.

(c) Prepare the journal entries to reflect accounting for the company's pension plan for the year ended December 31, 2004.

(d) Indicate the amounts that are reported on the income statement and the balance sheet for 2004.

Solution 20-92 (a) $3,780,000.

(b) Service cost $ 450,000

Interest on projected benefit obligation ($3,780,000 × 8%) 302,400 Amortization of prior service cost* 315,000

Pension expense—2004 $1,067,400

*1,200

——— 100 = 12 years average remaining service life

$3,780,000

————— = $315,000 12

(c) Pension Expense... 1,067,400 Prepaid Pension Cost ... 132,600

Cash ... 1,200,000 Intangible Asset—Deferred Pension Cost ... 2,752,600*

Additional Pension Liability ... 2,752,600

*Accumulated benefit obligation $3,820,000 Plan assets (at fair value) 1,200,000 Unfunded accumulated benefit obligation 2,620,000

Prepaid pension cost 132,600

Additional pension liability $2,752,600 (d) Income statement

Pension Expense $1,067,400

Balance sheet

Intangible Asset—Deferred Pension Cost $2,752,600

Accrued Pension Cost $2,620,000

In document ch20-11 (Page 22-40)

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