Chapter 10

Solutions

Exercise 10.1

  1. Straight line:

    (125,000 − 10,000) ÷ 5 years  = 23,000 per year (same for all years)

  2. Activity based on input:

    (125,000 − 10,000) ÷ 10,000 hours = $11.50 per hour of use

    2021 depreciation = $11.50 × 2,150 hours = $24,725

  3. Activity based on output:

    (125,000 − 10,000) ÷ 1,000,000 units = $0.115 per unit produced

    2021 depreciation = $0.115 × 207,000 units = $23,805

  4. Double declining balance:

    Rate = (100 ÷ 5 years) × 2  = 40%

    2020 Depreciation: $125,000 × 40% = $55,000

    2021 Depreciation: ($125,000 – $50,000) × 40% = $30,000


Exercise 10.2

Depreciation rate (assume straight-line unless otherwise indicated):

(10,000 − 1,000) ÷ 3 years = $3,000 per year

Depreciation per year calculated as follows:

2020:

2021:

2022:

2023:

Total depreciation:

$3,000 × 6 ÷ 12

Full year

Full year

$3,000 × 6 ÷ 12

$1,500

$3,000

$3,000

$1,500

$9,000

(Note: in 2023, only 6 months depreciation can be recorded, as the asset has reached the end of its useful life.)


Exercise 10.3

  1. No journal entry is required as this is considered a change in estimate. Depreciation will be adjusted prospectively only, with no adjustment made to prior years.
  2. Original depreciation:

    ($39,000 − $4,000) 5 years = $7,000 per year

    Depreciation taken 2018-2020 = $7,000 × 3 years = $21,000

    Revised depreciation for 2021 and future years:

    ($39,000 − $21,000 − $5,000) ÷ (7 years − 3 years = 4) = $3,250 per year

    General journal. Depreciation expense 3,250 under debit. Accumulated depreciation 3,250 under credit.


Exercise 10.4

  1. Depreciation from 2006 – 2011:

    ($450,000 − $90,000) ÷ 30 years = $12,000 per year

    Total depreciation taken = $12,000 × 6 years = $72,000

  2. Depreciation from 2012 – 2019:

    ($450,000 − $72,000 + $30,000 − $50,000) ÷ (30 − 6 + 10 = 34 years) = $10,529 per year

    Total depreciation taken = $10,529 × 8 years = $84,232

  3. Depreciation from 2020 and future years:

    ($450,000 + $30,000 − $72,000 − $84,232) ÷ (34 − 8 = 26 years) = $12,453 per year


Exercise 10.5

  1. Determine the recoverable amount:

    Value in use

    Fair value in use

    = $110,000

    = $116,000

    The recoverable amount is the greater amount: $116,000

    Carrying value = $325,000 − $175,000 = $150,00

    As the carrying value exceeds the recoverable amount, the asset is impaired by $150,000 − $116,000 = $34,000

  2. General journal. loss on impairment 34,000 under debit. Accumulated impairment loss 34,000 under credit
  3. New carrying value = $150,000 − $34,000 = $116,000

    Depreciation = ($116,000 − 0) ÷ 3 years = $38,667

    General journal. Depreciation expense 28,667 under debit. Accumulated depreciation 38,667

  4. Determine the recoverable amount:

    Value in use

    Fair value less costs to sell

    $90,000

    $111,000

    The recoverable amount is the greater amount: $111,000

    The carrying value is now $116,000 − $38,667 = $77,333

    The asset is no longer impaired. However, the reversal of the impairment loss is limited. If the impairment had never occurred, the carrying value of the asset would have been:

    Unimpaired carrying value on Jan 1, 2021

    Depreciation for 2021 (150,000 ÷ 3)

    Unimpaired carrying value at Dec 31, 2021

    $ 150,000

    (50,000)

    100,000

    Therefore, the reversal of the impairment loss is limited to: $100,000 − $77,333 = $22,667

    The journal entry will be:

    General journal. Accumulated impairment loss 22,667 under debit. Recovery of previous impairment loss 22,267 under credit.


Exercise 10.6

  1. ASPE 3063 uses a two-step process for determining impairment losses. The first step is to determine if the asset is impaired by comparing the undiscounted future cash flows to the carrying value:

    Undiscounted future cash flows:

    Carrying value

    $140,000

    $150,000

    Therefore, the asset is impaired.

    The second step is to determine the amount of the impairment. This amount is the difference between the carrying value and the fair value of the asset:

    Carrying value

    Fair value

    Impairment loss

    $150,000

    $125,000

    $ 25,000

    Thus, the journal entry will be:

    General journal. Loss on impairment 25,000 under debit. Accumulated impairment loss 25,000 under credit.

  2. Depreciation will now be based on the new carrying value:

    $150,000 − $25,000 = $125,000

    $125,000 ÷ 3 years  = $41,667 per year

    General journal. Depreciation expense 41,667 under debit. Accumulated depreciation 41,667 under credit.

  3. The carrying value is now $125,000 − $41,667 = $83,333. As this is less than the undiscounted future cash flows, the asset is no longer impaired. However, under ASPE 3063, reversals of impairment losses are not allowed, so no adjustment can be made in this case.


Exercise 10.7

  1. The total carrying value of the division is $95,000. The fair values of the individual assets cannot be determined, so the value in use is the appropriate measure. In this case, the value in use is $80,000, which means the division is impaired by $15,000. This impairment will be allocated on a pro-rata basis to the individual assets:
    Asset Carrying Amount Proportion Impairment
    Computers $55,000 55/95 $8,684
    Furniture 27,000 27/95 4,263
    Equipment 13,000 13/95 2,053
    95,000 15,000
  2. The journal entry would be:General journal. Loss on impairment 15,000 under debit. Accumulated impairment loss - computers 8,684 under credit. Accumulated impairment loss - furniture 4,263 under credit. Accumulated impairment loss - equipment 2,053
  3. The value in use ($80,000) is greater than the fair value less costs to sell ($60,000) so the calculation of impairment loss is the same as in part (a) (i.e., $15,000). However, none of the impairment loss should be allocated to the computers, as their carrying value ($55,000) is less than their recoverable amount ($60,000). The impairment loss would therefore be allocated as follows:
    Asset Carrying Amount Proportion Impairment Loss
    Furniture $27,000 27/40 $10,125
    Equipment 13,000 13/40 4,875
    40,000 15,000
  4. The impairment loss is still calculated as $15,000. However, this time the computers are also impaired, as their carrying value ($55,000) is greater than their recoverable amount ($50,000). In this case, the computers are reduced to their recoverable amount and the remaining impairment loss ($15,000 − $5,000 = $10,000) is allocated to the furniture and equipment on a pro-rata basis:
    Asset Carrying Amount Proportion Impairment Loss
    Computers $55,000 $5,000
    Furniture 27,000 27/40 6,750
    Equipment 13,000 13/40 3,250
    95,000 15,000

Exercise 10.8

  1. General journal. Cash 450,000 under debit. Accumulated depreciation 430,000 under debit. Property 950,000 under credit. Loss on sale of asset 70,000 under debit.
  2. General journal. cash 750,000 under debit. Accumulated depreciation 430,000 under debit. Property 950,000 under credit. Gain on disposal of asset 230,000 under credit.
  3. General journal. Accumulated depreciation 430,000 under debit. Property 950,000 under credit. Loss on abandonment of asset 520,000 under debit
  4. General journal. Donation expense 600,000 under debit. Accumulated depreciation 430,000 under debit. Property 950,000 under credit. Gain on donation of asset 80,000 under credit

Exercise 10.9

  1. General journal. Asset held for sale 34,000 under debit. Accumulated depreciation 25,000 under debit. Machine 65,000 under credit. Loss on impairment 6,000 under debit.
  2. General journal. Cash 37,000 under debit. Asset held for sale 34,000 under credit. Gain on sale of asset 3,000 under credit.
  3. General journal 1. Asset held for sale 40,000 under debit. Accumulated depreciation 25,000 under debit. Machine 65,000 under credit. General journal 2. Cash 37,000 under debit. Asset held for sale 40,000 under credit. Loss on sale of asset 3,000 under debit.

Exercise 10.10

Undiscounted cash flow (UDCF) $355,000
Carrying value $408,700 ($654,600 - $245,900)
Since UDCF < Carrying value, the is impairment.
To determine impairment, compare the carrying value to the fair value
Fair value $395,600
Carrying value $408,700
Loss due to impairement is $13,100 ($408,700 - $395,600)
Loss on impairment 13,100
Accumulated impairment loss - equipment 13,100

Exercise 10.11

1. Hanover follows ASPE – Cost recovery impairment model

a. Compare the undiscounted cash flow to the carrying value:

Undiscounted cash flow (UDCF) 7,695,000
Carrying value ($11,500,000 - $3,500,000) 8,000,000
Since UDCF < Carrying value, there is impairment
To calculate the amount of impairment, compare fair value to carrying value
Fair value 6,200,000
Carrying value 8,000,000
Impairment = $1,800,000 ($8,000,000 - $6,200,000)
Dec 31, Y4 Loss on impairment 1,800,000
Accumulated impairment loss - equipment 1,800,000

b. Depreciation expense (straight-line)

New value of equipment 6,200,000
remaining useful life 4 years
Annual depreciation 1,550,000
Dec 31, Y5 Depreciation expense 1,550,000
Accumulated depreciation - equipment 1,550,000

c. No entry allowed! Under the cost recovery impairment model (ASPE), recovery of any impairment loss is NOT permitted.

2. Hanover follows IFRS – Rational entity impairment model

a. Determine the recoverable amount and compare that value to the carrying value:

Carrying value 8,000,000
Recoverable amount (higher of):
Value in use 6,350,000
Fair value less costs to sell 6,110,500
Therefore, recoverable amount is 6,350,000
Impairment 1,650,000
Dec 31, Y4 Loss on impairment 1,650,000
Accumulated impairment loss - equipment 1,650,000

b. Depreciation expense (straight-line)

New value of equipment 6,350,000
remaining useful life 4 years
Annual depreciation 1,587,500
Dec 31, Y5 Depreciation expense 1,587,500
Accumulated depreciation - equipment 1,587,500

c. Recovery of impairment is allowed under IFRS but there is a maximum amount.

Carrying value of equipment (at Dec 31, Y5) 4,762,500
Fair value of equipment (at Dec 31, Y5) 6,500,000
Potential recovery is $1,737,500 ($6,500,000 - $4,762,500)
However, we have to check what the carrying value would have been WITHOUT impairment:
Original carrying value ($11,500,000 - $3,500,000) 8,000,000
Y5 depreciation ($8,000,000 / 4 years) 2,000,000
Carrying value at end of Y5 $6,000,000 MAXIMUM AMOUNT
The maximum amount we can recover is up to $6,000,000, not the $6,500,000 fair value
Maximum recovery:
Carrying value of equipment (at Dec 31, Y5) 4,762,500
Carrying value of equipment (if no impairment) 6,000,000
Recovery is $1,237,500 ($6,000,000 - $4,762,500)
Accumulated impairment loss - equipment 1,237,500
Recovery of loss from impairment 1,237,500

Exercise 10.12

1. Goderich follows APSE – Cost recovery impairment model

a. Compare the undiscounted cash flow to the carrying value:

Undiscounted cash flow (UDCF) 295,300
Carrying value ($529,600 - 224,200) 305,400
Since UDCF < Carrying value, there is impairment
To calculate the amount of impairment, compare fair value to carrying value
Fair value 245,600
Carrying value 305,400
Impairment = $9,800 ($305,400 - 295,600)
Dec 31, Y4 Loss on impairment 59,800
Accumulated impairment loss - equipment 59,800

b. Depreciation expense (straight-line)

New value of equipment 245,600
remaining useful life 5 years
Annual depreciation 49,120
Dec 31, Y5 Depreciation expense 49,120
Accumulated depreciation - equipment 49,120

c. No entry allowed! Under the cost recovery impairment model (ASPE), recovery of any impairment loss is NOT permitted.

2. Goderich follows IFRS – Rational entity impairment model

a. Determine the recoverable amount and compare that value to the carrying value:

Carrying value 305,400
Recoverable amount (higher of):
Value in use 296,500
Fair value less costs to sell 245,600
Therefore, recoverable amount is 296,500
Impairment 8,900
Dec 31, Y4 Loss on impairment 8,900
Accumulated impairment loss - equipment 8,900

b. Depreciation expense (straight-line)

New value of equipment 296,500
remaining useful life 5 years
Annual depreciation 59,300
Dec 31, Y5 Depreciation expense 59,300
Accumulated depreciation - equipment 59,300

c. Recovery of impairment is allowed under IFRS but there is a maximum amount.

Carrying value of equipment (at Dec 31, Y5) 237,200
Fair value of equipment (at Dec 31, Y5) 305,100
Potential recovery is $82,725 ($305,100 - $222,375)
However, we have to check what the carrying value would have been WITHOUT impairment:
Original carrying value ($529,600 - $224,200) 305,400
Y5 depreciation ($305,400 / 5 years) 61,080
Carrying value at end of Y5 $244,320 MAXIMUM AMOUNT
The maximum amount we can recover is up to $244,320, not the $305,100 fair value
Maximum recovery:
Carrying value of equipment (at Dec 31, Y5) 237,200
Carrying value of equipment (if no impairment) 244,320
Recovery is $7,120 ($244,320 - $237,200)
Accumulated impairment loss - equipment 7,120
Recovery of loss from impairment 7,120

Exercise 10.13

1. Straight-line method

Y8
$256,000 - $16,000
10 years
= 20,000 × 9/12 = $15,000
Y9
$256,000 - $16,000
10 years
= $20,000

2. Units-of-production method

$256,000 - $16,000
125,000 units
= $1.60 rate per unit
Y8 9,860 units × $1.60 = $15,776
Y9 11,400 units × $1.60 = $18,240

3. Double-declining balance method

1/10 × 2 = .10 × 2 = 20% annual rate
Y8 $256,000 × 20% × 9/12 = $38,400
Y9 ($256,000 - $38,400) × 20% = $43,520

Exercise 10.14

1. Straight-line method

     

Depreciation
Expense

Accumulated
Depreciation

Y3
$345,000 - $34,700
8 years
= $38,875 $38,875
Y4
$345,000 - $34,700
8 years
= $38,875 $77,750

2. Unit-of-Production

         

Depreciation
Expense

Accumulated
Depreciation

$345,000 - $34,700
31,100 units
= $10.00 rate
Y3 3,890 units x $10.00 rate per unit = $38,900 $38,900
Y4 3,560 units x $10.00 rate per unit = $35,600 $74,500

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