Unit 10 - Depreciation, Impairments, Depletion Flashcards
A company owns a machine that it purchased on January 1, year 1 for $600,000. The machine has an estimated useful life of 5 years and an estimated salvage value of $75,000. The company uses the sum-of-the-years’-digits method.
What is the depreciation expense for each year and book value of the machine at the end of year 5?
Year 1: ($600,000 - $75,000) x 5/15 = $175,000
Year 2: ($600,000 - $75,000) x 4/15 = $140,000
Year 3: ($600,000 - $75,000) x 3/15 = $105,000
Year 4: $(600,000 - $75,000) x 2/15 = $70,000
Year 5: ($600,000 - $75,000) x 1/15 = $35,000
Total accumulated depreciation $525,000 = ($175,000 + $140,000 + $105,000+ $70,000 + $35,000)
Book value of the machine at the end of year 5 is its salvage $75,000 = $600,000 – $525,000
Accounting Rule: the sum-of-the-years’-digits method is an accelerated depreciation method resulting in higher deprecation cost in the earlier years and lower charges in later periods. It is a passage of time depreciation method that results in a decreasing depreciation charge based on a decreasing fraction of depreciable cost (original cost less salvage value). Each fraction uses the sum of the years as a denominator (e.g. 5 + 4 + 3 + 2 + 1 = 15). The numerator is the number of years of estimated life remaining as of the beginning of the year. In this method, the numerator decreases year by year, and the denominator remains constant (e.g. 5/15, 4/15, 3/15, 2/15, and 1/15). At the end of the asset’s useful life, the balance remaining should equal the salvage value. Never depreciate beyond an asset’s salvage value.
A company purchased a truck at the beginning of 2020 for $109,200. The truck is estimated to have a salvage value of $4,200 and a useful life of 120,000 miles. It was driven 21,000 miles in 2020 and 29,000 miles in 2021.
What is the depreciation expense for 2020 and 2021 using the variable charge method?
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Accounting Rule: The activity method (also called the variable-charge or units-of-activity/production approach) assumes that depreciation is a function of use or productivity, instead of the passage of time. It calculates depreciation based on the asset’s activity such as the number of units produced or the number of hours/miles the asset is used during the period. In other words, this method focuses on the actual use of the asset rather than the passage of time. The amount of depreciation expense is directly proportional to the amount of the asset’s usage. The activity rate is multiplied by the depreciable cost (original cost less salvage value). Another formula is: (Actual Activity in Period/Total Estimate Activity) x (Cost – Salvage Value)
Equipment with a cost of $450,000 has an estimated salvage value of $30,000 and an estimated life
of 4 years or 10,000 hours. It is to be depreciated by the units-of-activity method.
What is the amount of depreciation for the first full year, during which the equipment was used 2,700 hours?
$113,400 = (2,700 / 10,000) x ($450,000 – $30,000)
Accounting Rule: (Actual Activity in Period/Total Estimate Activity) x (Cost – Salvage Value)
The activity method of depreciation
a. is a variable charge approach.
b. assumes that depreciation is a function of the passage of time.
c. conceptually associates cost in terms of input measures.
d. all of these answers are correct.
a. is a variable charge approach.
Accounting Rule: under the activity method, the amount of depreciation expense is directly proportional to the amount of the asset’s usage.
A company placed an asset into service on day 1 of year 1 with the following data related to the purchase:
Cost of machinery $225,000
Estimated salvage value $75,000
Product life hours 75,000 hours
Useful life 5 years
Hours used in Year 1 5,000 hours
What amount of annual depreciation expense should be recorded in the first year using the variable charge method, and what is the machine’s book value at the end of year 1? (round your answer)
$10,000 depreciation expense = (5,000 / 75,000) x ($225,000 – $75,000)
$215,000 book value = $225,000 – $10,000
Accounting Rule: (Actual Activity in Period/Total Estimate Activity) x (Cost – Salvage Value). The book value/carrying value of an asset is its original cost less accumulate depreciation.
A company placed an asset into service on day 1 of year 1 with the following data related to the purchase:
Cost of machinery $225,000
Estimated salvage value $75,000
Product life hours 75,000 hours
Useful life 5 years
Hours used in Year 1 5,000 hours
Using the information above, what amount of annual depreciation expense should be recorded in each of the five years using the straight-line method, and what is the machine’s book value for each of the years?
$30,000 depreciation expense = ($225,000 – $75,000) / 5
This amount will be the same over the 5 years
$195,000 book value year 1 = $225,000 – $30,000
$165,000 book value year 2 = $225,000 – $60,000
$135,000 book value year 3 = $225,000 – $90,000
$105,000 book value year 4 = $225,000 – $120,000
$75,000 book value year 5 = $225,000 – $150,000
Accounting Rule: straight-line depreciation is the most used and simplest depreciation method for allocating the cost of a capital asset. It is calculated by simply dividing the original cost of an asset, less its salvage value, by the useful life of the asset. With the straight-line depreciation method, the value of an asset is reduced uniformly over each period until it reaches its salvage value.
A company placed an asset into service on day 1 of year 1 with the following data related to the purchase:
Cost of machinery $225,000
Estimated salvage value $75,000
Product life hours 75,000 hours
Useful life 5 years
Hours used in Year 1 5,000 hours
Using the information above, what amount of annual depreciation expense should be recorded in the first and second years using double-declining balance method, and what is the machine’s book value for each of the years?
100% / 5years = 20% straight-line rate x 2 = 40% DDB rate
$90,000 depreciation expense year 1= 40% × $225,000
$135,000 book value year 1= $225,000 – $90,000
$54,000 depreciation expense year 2= 40% × $135,000
$81,000 book value year 2= $225,000 – ($90,000 + $54,000)
Accounting Rule: the double-declining balance (DDB) method is an accelerated depreciation that records larger depreciation expenses during the earlier years of an asset’s useful life, and smaller ones in later years. First, divide 100% by the number of years in the asset’s useful life, this is the straight-line depreciation rate. Then, multiply that number by 2 and that is the double-declining depreciation rate. Multiply that rate by the asset’s book value in each year. Depreciation continues until the asset’s value declines to its salvage value.
Depreciation is a variable expense if the depreciation method used is
a. units-of-production.
b. straight-line.
c. sum-of-the-years’-digits.
d. declining-balance.
a. units-of-production.
Accounting Rule: the activity method is also called the variable-charge or units-of-production approach.
Assume an asset is used evenly over a four-year service life, which method of depreciation will always result in the largest amount of depreciation in the first year?
a. straight-line.
b. units-of-production.
c. double-declining balance.
d. sum-of-the-year’s digits.
c. double-declining balance.
In the first year of an asset’s life, which of the following methods has the smallest depreciation?
a. straight-line.
b. declining balance.
c. sum-of-the-years’ digits.
d. composite or group.
a. straight-line.
In the first year of an asset’s life, which of the following methods, in addition to straight line, has the smallest depreciation?
a.MACRS.
b. declining balance.
c. sum-of-the-years’ digits.
d. composite or group.
Ans d
Composite or group depreciation calculates annual depreciation using the straight line method.
On July 1, 2020, a company purchased a machine with a five-year useful life for $10,000 and no salvage value. The company prepares accrual-basis financial statements on a calendar-year basis.
How many months should be included in the calculation of depreciation expense for the year of acquisition using the double-declining-balance method?
Six
On July 1, 2020, a company purchased a machine with a five-year useful life for $10,000 and no salvage value. The company prepares accrual-basis financial statements on a calendar-year basis.
What is the depreciation expense for 2020 and 2021?
Year 2020
100% / 5years = 20% straight-line rate x 2 = 40% DDB rate
$4,000 full year = 40% × $10,000
$2,000 half year = 6/12 × $4,000
Year 2021
100% / 5years = 20% SL rate x 2 = 40% DDB rate
$ 3,200 full year (40% × $ 8,000)
Accounting Rule: in computing depreciation expense for partial periods, first determine the depreciation expense for the full year and then prorate this amount between the two periods involved.
On July 1, 2020, a company purchased a machine with a five-year useful life for $10,000 and no salvage value. The company prepares accrual-basis financial statements on a calendar-year basis.
Using the information above, assume the company uses the sum-of-the-years’-digits method, what is the depreciation expense for 2020 and 2021?
Year 2020
$3,333.33 full year = 5/15 × $10,000
$1,666.67 half year = 6/12 × $3,333.33
Year 2021
$2,666.67 full year = 4/15 × $10,000
$1,666.67 half year 6/12 × $3,333.33; and $1,333.33 half year = 6/12 × $2,666.67
$3,000 = $1,666.67 + $1,333.33
Accounting Rule: in computing depreciation expense for partial periods, first determine the depreciation expense for the full year and then prorate this amount between the two periods involved.
A company has a policy of calculating depreciation using the nearest fraction of a year policy. On May 10, the company purchased and placed in service an asset costing $50,000 with a five-year useful life.
What fraction is used to calculate the depreciation expense on December 31 and what is the depreciation expense on December 31? (round your answer to a whole number)
7⅔= ⅔ in May,and full months for June to December
$6,392 = (7.67/12) x ($50,000/5)
Accounting Rule: the nearest fraction of a year policy states that the depreciation expense is prorated at the time the asset is placed in service
Please make sure you are familiar with the following fractional year depreciation policy calculations.
A company purchases a machine that cost $ 45,000 on June 10, 2019 and places it in service on the same day. The machine has a useful life of 5 years and no salvage value.
. A company purchases an asset on April 5 of the current year. The company would like to use the depreciation policy that will result in the highest depreciation expense in the last year of the asset’s useful life.
Which depreciation policy should be used?
a. nearest full month.
b. half-year convention.
c. nearest fraction of the year.
d. full year in period of disposal.
Ans d
Accounting Rule: please make sure you are familiar with the following fractional year depreciation policy calculations.
A company purchases a machine that cost $ 45,000 on June 10, 2019 and places it in service on the same day. The machine has a useful life of 5 years and no salvage value.
A company purchases an asset on April 5th of the current year. The company would like to use the depreciation policy that will result in the highest depreciation expense in the first year of the asset’s useful life.
Which depreciation policy should be used?
a. nearest full month.
b. half-year convention.
c. nearest fraction of the year.
d. full year in period of disposal.
Ans a
Accounting Rule: using the nearest full month, the asset will be depreciated for 9 months in the first year. Using the half-year convention, the asset will be depreciated for 6 months in the first year. Using the nearest fraction of the year, the asset will be depreciated for 8⅔ months in the first year.
When depreciation is computed for partial periods under a decreasing charge depreciation method, it is necessary to
a. charge a full year’s depreciation to the year of acquisition.
b. determine depreciation expense for the full year and then prorate the expense between the two periods involved.
c. use the straight-line method for the year in which the asset is sold or otherwise disposed of.
d. use a salvage value equal to the first year’s partial depreciation charge.
b. determine depreciation expense for the full year and then prorate the expense between the two periods involved.
Accounting Rule: in computing depreciation expense for partial periods, first determine the depreciation expense for the full year and then prorate this amount between the two periods involved.
A company purchased machinery with an original cost of $90,000. It estimates a 20-year life with no salvage value. At the beginning of year 6, the company estimates that it will use the machine for an additional 25 years.
What is the revised total life of the machinery at the beginning of year 6?
30 years
5 years of depreciation taken + the additional 25 years
Accounting Rule: a change in estimate is reported in the current and prospective periods. Charges for depreciation in subsequent periods (assuming use of the straight-line method) are determined by dividing the remaining book value less any salvage value by the remining estimated life.
A company acquired machinery on January 1, 2015 which it depreciated under the straight-line method with an estimated life of fifteen years and no salvage value. On January 1, 2020, the company estimated that the remaining life of this machinery was six years with no salvage value.
How should this change be accounted for by the company?
a. as a prior period adjustment.
b. as the cumulative effect of a change in accounting principle in 2020.
c. by setting future annual depreciation equal to one-sixth of the book value on January 1, 2020.
d. by continuing to depreciate the machinery over the original fifteen-year life.
Ans c
Accounting Rule: a change in estimate is reported in the current and prospective periods. Charges for depreciation in subsequent periods (assuming use of the straight-line method) are determined by dividing the remaining book value less any salvage value by the remining estimated life.
A change in estimate should
a. result in restatement of prior period statements.
b. be handled in current and future periods.
c. be handled in future periods only.
d. be handled retroactively.
b. be handled in current and future periods.
Accounting Rule: a change in estimate is reported in the current and prospective periods. Charges for depreciation in subsequent periods (assuming use of the straight-line method) are determined by dividing the remaining book value less any salvage value by the remining estimated life.
A company purchased a piece of equipment for $120,000 and estimated that the asset will have no salvage value at the end of its 15-year useful life. At the end of year 5 of ownership, when accumulated depreciation was $40,000 and the asset’s book value was $80,000, the company revised the asset’s estimated useful life to a total of 10 years.
What is depreciation expense for year 6 assuming the company uses the straight-line method?
$16,000 = $80,000 / 5 yrs
5 yrs = 10 yrs – 5 yrs of previous depreciation taken
Accounting Rule: a change in estimate is reported in the current and prospective periods. Charges for depreciation in subsequent periods (assuming use of the straight-line method) are determined by dividing the remaining book value less any salvage value by the remining estimated life.
A company purchased a depreciable asset for $840,000 on January 1, 2017. The estimated salvage value is $84,000, and the estimated total useful life is 9 years. The straight-line method is used for depreciation. On January 1,2020, the company changed its estimates to a total useful life of 5 years with a salvage value of $140,000.
What is 2020 depreciation expense?
a. the equipment will depreciate 588,000 over the next five years.
b. the equipment will depreciate 448,000 over the next five years.
c. the equipment will depreciate 588,000 over the next two years.
d. the equipment will depreciate 448,000 over the next two years.
Ans d
$558,000 = $840,000 – $252,000 [($840,000 – $84,000) / 9] x 3
$448,000 = $558,000 – $140,000
The revised useful life of the asset is 5 years and 3 years of previous depreciation was taken leaving 2 years left.
Accounting Rule: a change in estimate is reported in the current and prospective periods. Charges for depreciation in subsequent periods (assuming use of the straight-line method) are determined by dividing the remaining book value less any salvage value by the remining estimated life.
A company bought equipment for $240,000 on January 1, 2019. The company estimated the useful life to be 3 years with no salvage value, and the straight-line method of depreciation will be used. On January 1, 2020, Jack decides that the business will use the equipment for a total of 5 years.
What is the revised depreciation expense for 2020?
$40,000 = [$240,000 - ($240,000 / 3)] / 4
The revised useful life of the asset is 5 years and 1 year of previous depreciation was taken leaving 4 years left.
Accounting Rule: a change in estimate is reported in the current and prospective periods. Charges for depreciation in subsequent periods (assuming use of the straight-line method) are determined by dividing the remaining book value less any salvage value by the remining estimated life.