EXERCISE 20-8

Corridor and Minimum Loss Amortization

 

 

 

Year

Projected Benefit Obligation (a)

 

Plan Asset Value (a)

 

10% Corridor

Cumulative Unrecognized Net Loss (a)

Minimum Amortization of Loss

2003

$2,000,000

$1,900,000

$200,000

$           0

$       0

2004

2,400,000

2,500,000

250,000

280,000

3,000 (b)

2005

2,900,000

2,600,000

290,000

            367,000 (c)

6,417 (d)

2006

3,600,000

3,000,000

360,000

           370,583 (e)

882  (f)

 

(a)       As of the beginning of the year.

(b)       ($280,000 – $250,000) ÷ 10 years = $3,000

(c)       $280,000 – $3,000 + $90,000 = $367,000

(d)       ($367,000 – $290,000) ÷ 12 years = $6,417

(e)       $367,000 – $6,417 + $10,000 = $370,583

(f)        $370,583 – $360,000) ÷ 12 years = $882

EXERCISE 20-9

(a)         Note to financial statements disclosing components of 2005 pension expense:

             Note X:  Net pension expense for 2005 is composed of the following components of pension cost:

 

                           Service cost                                                                                                                                                            $  94,000

                           Interest cost                                                                                                                                                              253,000

                           Expected return on plan assets                                                                                                                            (175,680)

                           Prior service cost amortization                                                                                                                              45,000

                                        Net pension expense                                                                                                                                $216,320

 

(b)         The following schedule reconciles the funded status of the plan with the amount reported in the balance sheet at December 31, 2005:

 

             Projected benefit obligation                                                                                                                                          $(2,737,000)

             Plan assets at fair value                                                                                                                                                   2,278,329

             Projected benefit obligation in excess of plan

                 assets (funded status)                                                                                                                                                      (458,671)

             Unrecognized prior service cost                                                                                                                                    (   205,000

             Unrecognized net loss                                                                                                                                                            45,680

             Accrued pension cost liability                                                                                                                                      $   (207,991)

 EXERCISE 20-11

(a)         Additional Liability Computations

 

December 31

 

2004

2005

Accumulated benefit obligation

$(260,000)

$(370,000)

Fair value plan of assets

(    255,000

   300,000

Minimum liability

(5,000)

(70,000)

Prepaid (accrued) pension cost

      30,000

    (45,000)

Additional liability to report

(35,000)

(25,000)

Less:  Beginning additional liability

                         

    (35,000)

Additional liability to record

$  (35,000)

$   10,000

 

(b)                                                                                                            2004

             Intangible Asset—Deferred Pension Cost........................................................................................                  35,000

                           Additional Pension Liability................................................................................................................                                                 35,000

                                                                                                                2005

             Additional Pension Liability.................................................................................................................                  10,000

                           Intangible Asset—Deferred Pension

                               Cost.......................................................................................................................................................                                                 10,000

 

EXERCISE 20-14 (35-45 minutes)

(a)         Actual Return = (Ending – Beginning) – (Contributions – Benefits)

                           Fair value of plan assets,

                               December 31, 2005                                                                                                                                               $2,620

                           Deduct:  Fair value of plan assets,

                               January 1, 2005                                                                                                                                                       1,700

                           Increase in fair value of plan assets                                                                                                                             920

                           Deduct: Contributions                                                                                                      $800

                                                      Less benefits paid                                                                                     200                                    600

                           Actual return on plan assets in 2005                                                                                                                     $   320

 

(b)         Computation of pension liability gains and losses and pension asset gains and losses.

 

             1.         Difference between 12/31/05 actuarially computed PBO and 12/31/05 recorded projected benefit obligation (PBO):

                         PBO at end of year                                                                                                                        $3,645

                         PBO per memo records:

                             1/1/05 PBO                                                                                             $2,800

                             Add interest (10%)                                                                                     280

                             Add service cost                                                                                            400

                             Less benefit payments                                                                                (200)                       3,280

                             Liability loss                                                                                                                                                                $365

 

             2.         Difference between actual fair value of plan assets and ex­pected fair value:

                             12/31/05 actual fair value

                                 of plan assets                                                                                                                            2,620

                         Expected fair value

                             1/1/05 fair value of plan assets                                                              1,700

                             Add expected return

                                 ($1,700 X 10%)                                                                                       170

                             Add contribution                                                                                           800

                             Less benefits paid                                                                                        (200)                       2,470

                             Asset gain                                                                                                                                                                     (150)

                         Unrecognized net (gain) or loss                                                                                                                                   $215

 

(c)         Because no unrecognized net gain or loss existed at the begin­ning of the period, no amortization occurs. Therefore, the corridor calculation is not needed. An example of how the corridor would have been computed is illustrated below, assuming an unrecog­nized net loss of $240.

Beginning-of-the-Year

 

 

 

Year

 

PBO

Plan

Assets (FV)

10%

Corridor

Unrecognized

Net Loss

Loss

Amortization

 

2005

$2,800

$1,700

$280

$240

–0–

 

(d)         Prior service cost amortization:  $1,100 X 1/20 = $55 per year.

(e)         Minimum liability computation:

                           Accumulated benefit obligation, 12/31/05                                                                                                           $(2,730)

                           Plan assets at fair value                                                                                                                                              2,620

                           Minimum liability                                                                                                                                                           (110)

                           Prepaid pension cost, 12/31/05

                               ($800 – $565)                                                                                                                                                               235

                           Additional liability                                                                                                                                                     $   (345)

(f)         Pension expense for 2005:

                           Service cost                                                                                                                                                                    $400

                           Interest cost ($2,800 X 10%)                                                                                                                                       280

                           Actual return on plan assets [from (a)]                                                                                                                     (320)

                           Unexpected gain [from (b)2.]                                                                                                                                          150

                           Amortization of prior service cost                                                                                                                                  55

                           Pension expense for 2005                                                                                                                                           $565

(g)        Reconciliation schedule:

                           Projected benefit obligation                                                                                                                                    $(3,645)

                           Fair value of plan assets                                                                                                                                              2,620

                           Funded status                                                                                                                                                               (1,025)

                           Unrecognized prior service cost

                               ($1,100 – $55)                                                                                                                                                         (1,045

                           Unrecognized net (gain) or loss                                                                                                                                    215

                           Prepaid/accrued pension cost                                                                                                                                     ( 235

                           Adjustment required to recognize

                               minimum liability                                                                                                                                                       (345)

                           Accrued pension cost

                               recognized in the balance sheet                                                                                                                          $   (110)

EXERCISE 20-15

Journal entries 12/31/05

1.         Pension Expense.................................................................................................................................................                565

            Prepaid/Accrued Pension Cost........................................................................................................................                235

                         Cash................................................................................................................................................................                                           800

2.         Pension Intangible Asset..................................................................................................................................                345

                         Additional Pension Liability.......................................................................................................................                                           345

Reconciliation Schedule

Projected benefit obligation                                                                                                                                                               $(3,645)

Fair value of plan assets                                                                                                                                                                        2,620

Funded status                                                                                                                                                                                          (1,025)

Unrecognized prior service cost                                                                                                                                                         (1,045

Unrecognized net (gain) or loss                                                                                                                                                              215

Prepaid pension cost                                                                                                                                                                             (   235

Additional liability                                                                                                                                                                                     (345)

Pension liability reported                                                                                                                                                                   $   (110)

 

EXERCISE 20-20 (25-35 minutes)

The excess of the cumulative unrecognized net gain or loss over the corridor amount is amortized by dividing the excess by the average remaining service period of employees. The average remaining service period is computed as follows:

 

 = Average remaining service life per employee

Average remaining service life per employee =  = 14.

 

Amortization of Unrecognized Net (Gain) or Loss

(Gain) or Loss For the Year Ended December 31,

 

Amount

2004

(300,000

2005

(480,000

2006

(210,000)

2007

(290,000)

 

 

 

 

Year

Projected Benefit Obligation (a)

 

 

Plan Assets (a)

 

 

 

Corridor (b)

 

Cumulative Unrecognized (Gain) Loss (a)

 

Minimum Amortization of (Gain) Loss

2004

$4,000,000

$2,400,000

$400,000

$           0

$         0

2005

4,520,000

2,200,000

452,000

300,000

0

2006

4,980,000

2,600,000

498,000

780,000

20,143 (c)

2007

4,250,000

3,040,000

425,000

549,857 (d)

8,918 (e)

 

(a)      As of the beginning of the year.

(b)      The corridor is 10 percent of the greater of projected benefit obligation or plan assets.

(c)      $780,000 – $498,000 = $282,000; $282,000/14 = $20,143.

(d)      $780,000 – $20,143 – $210,000 = $549,857.

(e)      $549,857 – $425,000 = $124,857; $124,857/14 = $8,918.

 

PROBLEM 20-2

Work sheet computations:

 

(b)         $20,000 = $200,000 X 10%

(d)         $3,000 = ($200,000 X 10%) – $17,000; expected return exceeds actual return.

(i)         $38,200 = $382,000 X 10%

(j)         Expected return and actual return are the same.

(o)         $42,280 = $422,800 X 10%

(q)         $2,450 = ($264,500 X 10%) – $24,000; expected return exceeds actual return.

 

(Note :  Because the amount of unrecognized net gain or loss does not exceed 10% of the larger of the projected benefit obligation or the fair value of the plan assets at the beginning of any of the years, no amortization is recorded. The minimum liability could not be computed in this problem because no accumulated benefit obligation was given for any of the years.)

 

(b)         Journal entries:

                                                                                                                2005

             Pension Expense....................................................................................................................................                  16,000

                           Cash........................................................................................................................................................                                                  16,000

 

                                                                                                                2006

             Pension Expense....................................................................................................................................                  89,700

                           Cash........................................................................................................................................................                                                  40,000

                           Accrued Pension Cost.........................................................................................................................                                                  49,700

 

                                                                                                                2007

             Pension Expense....................................................................................................................................                  83,430

                           Cash........................................................................................................................................................                                                  48,000

                           Accrued Pension Cost.........................................................................................................................                                                  35,430

 

(c)                                                                                     Reconciliation Schedule 2005

             Projected benefit obligation                                                                                                                                             $(222,000)

             Fair value of plan assets                                                                                                                                                      219,000

             Projected benefit obligation in excess of plan assets

                 (funded status)                                                                                                                                                                       (3,000)

             Unrecognized net (gain) or loss                                                                                                                                              3,000

             Prepaid/accrued pension cost                                                                                                                                          $             0

                                                                                          Reconciliation Schedule 2006

             Projected benefit obligation                                                                                                                                             $(422,800)

             Fair value of plan assets                                                                                                                                                      264,500

             Projected benefit obligation in excess of plan assets

                 (funded status)                                                                                                                                                                  (158,300)

             Unrecognized net (gain) or loss                                                                                                                                        (    3,000

             Unrecognized prior service cost                                                                                                                                        105,600

             Accrued pension cost                                                                                                                                                        $  (49,700)

                                                                                          Reconciliation Schedule 2007

             Projected benefit obligation                                                                                                                                             $(520,000)

             Fair value of plan assets                                                                                                                                                      315,500

             Projected benefit obligation in excess of plan assets

                 (funded status)                                                                                                                                                                  (204,500)

             Unrecognized net (gain) or loss                                                                                                                                        (  55,370

             Unrecognized prior service cost                                                                                                                                          64,000

             Accrued pension cost                                                                                                                                                        $  (85,130)

 

PROBLEM 20-4

 

(a)         Computation of pension expense:

 

2004

2005

Service cost

($  60,000

$  90,000

Interest cost ($600,000 X .09) and ($700,000 X .09)

 

54,000

 

63,000

Actual (expected) return on plan assets

(24,000)

(30,000)

Amortization of prior service cost

    10,000

    12,000

Pension expense

($100,000

($135,000

 

(b)

2004

2005

Pension Expense..........................................................................

100,000

 

135,000

 

          Cash.....................................................................................

 

110,000

 

120,000

          Prepaid/Accrued Pension Cost.......................................

10,000

 

 

15,000

 

(c)         Minimum liability computation:

 

2004

2005

Accumulated benefit obligation

$(500,000)

$(550,000)

Fair value of plan assets

   380,000

   465,000

Minimum liability

(120,000)

(85,000)

Prepaid (accrued) pension cost         ($40,000 – $10,000) and ($30,000 + $15,000)

    (30,000)

   (45,000)

Additional liability to report

(90,000)

(40,000)

Less:  Beginning additional liability

    (50,000)

   (90,000)

Additional liability to record

$  (40,000)

$ 貞 50,000

 

(d)                                                                                                            2004

             Intangible Asset—Deferred Pension Cost..........................................................................................                  40,000

                           Additional Pension Liability..................................................................................................................                                              40,000

 

                                                                                                                2005

             Additional Pension Liability..................................................................................................................                  50,000

                           Intangible Asset—Deferred Pension

                               Cost........................................................................................................................................................                                              50,000

 

PROBLEM 20-7

(i)         Computation of minimum liability

                        Accumulated benefit obligation 12/31/06                                                                                                          $(671,000)

                        Plan assets at fair value 12/31/06                                                                                                                          621,000

                        Unfunded accumulated benefit

                            (minimum liability)                                                                                                                                                  (50,000)

                        Prepaid (accrued) pension cost

                            (balance 12/31/06)                                                                                                                                                   (40,100)

                        Additional liability required                                                                                                                                         (9,900)

                        Unrecognized prior service cost                                                                                                                                56,000

                        Contra equity charge                                                                                                                                               $            0

                                                                                                         Farrey Corp.

                                                                                           Pension Work Sheet—2006

 

Memo Entries

 

 

Item

Projected Benefit Obligation

 

 

Plan Assets

Unrecognized Prior Service Cost

Unrecognized Net Gain or Loss

Balance, Jan. 1, 2006

725,000 Cr.

520,000 Dr.

81,000 Dr.

91,000 Dr.

(a)       Service cost

108,000 Cr.

 

 

 

(b)       Interest cost

65,250 Cr.

 

 

 

(c)       Actual return

 

48,000 Dr.

 

 

(d)       Unexpected loss

 

 

 

7,000 Dr.

(e)       Amortization of PSC

 

 

25,000 Cr.

 

(f)        Amortization of loss

 

 

 

1,850 Cr.

(g)       Contributions

 

138,000 Dr.

 

 

(h)       Benefits

85,000 Dr.

85,000 Cr.

 

 

(i)        Minimum liability

            adjustment

 

 

 

 

Journal entry

__________

__________

________

________

Balance, Dec. 31, 2006

813,250 Cr.

621,000 Dr.

56,000 Dr.

96,150 Dr.

 

 

PROBLEM 20-8

Work sheet computations:

(b)         $65,000 = $650,000 X 10%.

(d)         $5,000 = ($410,000 X 10%) – $36,000; expected return exceeds ac-tual return.

(i)      (r)       Minimum Liability Computation:

 

December 31

 

2005

2006

Accumulated benefit obligation

$(721,800)

$(789,000)

Plan assets at fair value

   486,500

   574,500

Unfunded accumulated benefit

    obligation (minimum liability)

(235,300)

(214,500)

Prepaid (accrued) pension cost

  (142,000)

 (207,948)

Additional liability

(93,300)

(6,552)

Unrecognized prior service cost

     90,000

    35,000

Contra equity charge

$    (3,300)

$           0

 

(k)        $81,050 = $810,500 X 10%.

 

(m)       $12,350 = ($486,500 X 10%) – $61,000; actual return exceeds expected return.

 

(q)         2006 Corridor Test:

             Unrecognized net (gain) or loss at beginning of year                                                                                                      $92,000

             10% of larger of PBO or fair value of plan assets                                                                                                             81,050

             Amortizable amount                                                                                                                                                               $10,950

 

             2006 amortization ($10,950 ÷ 20 years)                                                                                                                                 $548

(b)                                                                                                            2005

             Pension Expense....................................................................................................................................               134,000

                           Cash...........................................................................................................................................................                                                  72,000

                           Prepaid/Accrued Pension Cost.............................................................................................................                                                  62,000

 

             Intangible Asset—Deferred Pension Cost........................................................................................                  77,700

             Excess of Additional Pension Liability Over

                 Unrecognized Prior Service Cost.....................................................................................................                    3,300

                           Additional Pension Liability..................................................................................................................                                                  81,000

                                                                                                                2006

             Pension Expense..................................................................................................................................               146,948

                           Cash........................................................................................................................................................                                                  81,000

                           Prepaid/Accrued Pension Cost..........................................................................................................                                                  65,948

 

             Additional Pension Liability..............................................................................................................                  86,748

                           Intangible Asset—Deferred Pension Cost......................................................................................                                                  83,448

                           Excess of Additional Pension Liability Over

                               Unrecognized Prior Service Cost..................................................................................................                                                    3,300*

 

             *In 2005, the charge for $3,300 would be reported as a reduction of Other Comprehensive Income and also as a component of Ac­cumulated Other Comprehensive Income. In 2006, Other Compre­hensive Income would be increased $3,300 and the balance in Accumulated Other Comprehensive Income would be zero re­lated to this component.

(c)                                                                            Pension Reconciliation Schedule—2006

             Projected benefit obligation                                                                                                                                             $(896,550)

             Plan assets at fair value                                                                                                                                                       574,500

             Projected benefit obligation in excess of plan assets

                 (funded status)                                                                                                                                                                  (322,050)

             Unrecognized prior service cost                                                                                                                                       (  35,000

             Unrecognized net (gain) or loss                                                                                                                                           79,102

             Prepaid/accrued pension cost                                                                                                                                            (207,948)

             Adjustment required to recognize minimum liability                                                                                                       (6,552)

             Accrued pension cost liability recognized in the

                 balance sheet                                                                                                                                                                  $(214,500)

 

*PROBLEM 20-10