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(Depreciation—Conceptual Understanding) Rembrandt Company acquired a plant asset at the beginning of Year 1. The asset has an estimated service life of 5 years. An employee has prepared depreciation schedules for this asset using three different methods to compare the results of using one method with the results of using other methods. You are to assume that the following schedules have been correctly prepared for this asset using (1) the straight-line method, (2) the sum-of-the years’-digits method, and (3) the double-declining-balance method.

Year

Straight-Line

Sum-of-the Years’-Digits

Double-Declining Balance

1

\( 9,000

\) 15,000

\(20,000

2

9,000

12,000

12,000

3

9,000

9,000

7,200

4

9,000

6,000

4,320

5

9,000

3,000

1,480

Total

\)45,000

\(45,000

\)45,000

Instructions

Answer the following questions.

  1. What is the cost of the asset being depreciated?
  2. What amount, if any, was used in the depreciation calculations for the salvage value for this asset?
  3. Which method will produce the highest charge to income in Year 1?
  4. Which method will produce the highest charge to income in Year 4?
  5. Which method will produce the highest book value for the asset at the end of Year 3?
  6. If the asset is sold at the end of Year 3, which method would yield the highest gain (or lowest loss) on disposal of the asset?

Short Answer

Expert verified
  1. Cost of asset =$50,000
  2. Salvage value = $5,000
  3. Double declining balance method
  4. Straight-line method
  5. Depreciation is $23,000, $14,000 and $10,800
  6. Double declining balance method

Step by step solution

01

Meaning of Depreciation

Depreciation is a branch of accounting that deals with systematically spreading or dividing the cost or other principal value of a fixed assetover its expected useful life by charging regular expenses or revenues.

02

(a) Explaining the cost of the asset being depreciated

If there is any salvage value and the quantity is unknown (as is the case here), the cost must be calculated using the double-declining balance method's data.

Determining the percentage of double declining balance

DoubledecliningBalance=TotalpercentageServicelife×Doubletimes=100%5×2=40%

Calculating the Cost of asset

Costofasset=DecliningbalancevalueDecliningbalancepercentage=$20,00040%=$20,000.40=$50,000



03

(b) Determining the amount, if any, was used in the depreciation calculations for the salvage value for the asset

There is a Salvage value of $5,000 for the asset used by the Rembrandt Company whose estimated service life is 5 years.

Working notes:

Salvagevalue=Costofasset-Totaldepreciation=$50,000-$45,000=$5,000

04

(c) Explaining the method that will produce the highest charge to income in Year 1 

The highest charge to income for Year 1 will be yielded by the double-declining balance method.

In double declining balance depreciation, the existing depreciation approach is doubled. Deferring income taxes to later years permits the company to devalue settled resources more intensely during its early years.

05

(d) Explaining the method that will produce the highest charge to income in Year 4

The highest charge to income for Year 4 will be yielded by the straight-line method.

The most typical approach for recognizing a fixed asset's carrying value over time is to use straight-line depreciation. When there is no precise pattern to how assets will be used over time, this is used.

06

(e) Explaining the method that will produce the highest book value for the asset at the end of Year 3

The straight-line technique, which delivers the lowest accumulated depreciation at the conclusion of Year 3, is the method that produces the greatest book value at the end of Year 3.

Computation of Straight-line depreciation for Year 3

Straightlinedepreciation=Costofasset-(Sumofdepreciationforyear1,2,and3)=$50,000-($9,000+$9,000+9,000)=$50,000-$27,000=$23,000

Computation of Sum-of-the Years’-Digits for Year 3

Sumoftheyeardigit=Costofasset-(Sumofdepreciationforyear1,2,and3)=$50,000-($15,000+$12,000+9,000)=$50,000-$36,000=$14,000

Computation of Double-Declining Balance for Year 3

Doubledecliningbalance=Costofasset-(Sumofdepreciationforyear1,2,and3)=$50,000-($20,000+$12,000+7,200)=$50,000-$39,200=$10,800

07

(f) Explaining the method would yield the highest gain (or lowest loss) on the disposal of the asset

The technique with the lowest book value at the end of Year 3 will generate the highest gain (or lowest loss) if the asset is sold at the end of Year 3, which in this case is the double-declining balance approach.

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Most popular questions from this chapter

(Impairment) Roland Company uses special strapping equipment in its packaging business. The equipment was purchased in January 2016 for \(10,000,000 and had an estimated useful life of 8 years with no salvage value. At December 31, 2017, new technology was introduced that would accelerate the obsolescence of Roland’s equipment. Roland’s controller estimates that expected future net cash flows on the equipment will be \)6,300,000 and that the fair value of the equipment is \(5,600,000. Roland intends to continue using the equipment, but it is estimated that the remaining useful life is 4 years. Roland uses straight-line depreciation.

Instructions

  1. Prepare the journal entry (if any) to record the impairment at December 31, 2017.
  2. Prepare any journal entries for the equipment at December 31, 2018. The fair value of the equipment at December 31, 2018, is estimated to be \)5,900,000.
  3. Repeat the requirements for (a) and (b), assuming that Roland intends to dispose of the equipment and that it has not been disposed of as of December 31, 2018.

Last year, Wyeth Company recorded an impairment on an asset held for use. Recent appraisals indicate that the asset has increased in value. Should Wyeth record this recovery in value?

(Depreciation—Replacement, Change in Estimate) Greg Maddox Company constructed a building at a cost of \(2,200,000 and occupied it beginning in January 1998. It was estimated at that time that its life would be 40 years, with no salvage value.

In January 2018, a new roof was installed at a cost of \)300,000, and it was estimated then that the building would have a useful life of 25 years from that date. The cost of the old roof was $160,000.

Instructions

  1. What amount of depreciation should have been charged annually from the years 1998 to 2017? (Assume straight-line depreciation.)
  2. What entry should be made in 2018 to record the replacement of the roof?
  3. Prepare the entry in January 2018 to record the revision in the estimated life of the building if necessary.
  4. What amount of depreciation should be charged for the year 2018?

(Comprehensive Fixed-Asset Problem) Darby Sporting Goods Inc. has been experiencing growth in the demand for its products over the last several years. The last two Olympic Games greatly increased the popularity of basketball around the world. As a result, a European sports retailing consortium entered into an agreement with Darby’s Roundball Division to purchase basketballs and other accessories on an increasing basis over the next 5 years.

To be able to meet the quantity commitments of this agreement, Darby had to obtain additional manufacturing capacity. A real estate firm located an available factory in close proximity to Darby’s Roundball manufacturing facility, and Darby agreed to purchase the factory and used machinery from Encino Athletic Equipment Company on October 1, 2016. Renovations were necessary to convert the factory for Darby’s manufacturing use.

The terms of the agreement required Darby to pay Encino \(50,000 when renovations started on January 1, 2017, with the balance to be paid as renovations were completed. The overall purchase price for the factory and machinery was \)400,000. The building renovations were contracted to Malone Construction at \(100,000. The payments made, as renovations progressed during 2017, are shown below. The factory was placed in service on January 1, 2018.

1/1

4/1

10/1

12/31

Encino

\)50,000

\(90,000

\)110,000

\(150,000

Malone

30,000

30,000

40,000

On January 1, 2017, Darby secured a \)500,000 line-of-credit with a 12% interest rate to finance the purchase cost of the factory and machinery, and the renovation costs. Darby drew down on the line-of-credit to meet the payment schedule shown above; this was Darby’s only outstanding loan during 2017.

Bob Sprague, Darby’s controller, will capitalize the maximum allowable interest costs for this project. Darby’s policy regarding purchases of this nature is to use the appraisal value of the land for book purposes and prorate the balance of the purchase price over the remaining items. The building had originally cost Encino \(300,000 and had a net book value of \)50,000, while the machinery originally cost \(125,000 and had a net book value of \)40,000 on the date of sale. The land was recorded on Encino’s books at \(40,000. An appraisal, conducted by independent appraisers at the time of acquisition, valued the land at \)290,000, the building at \(105,000, and the machinery at \)45,000.

Angie Justice, chief engineer, estimated that the renovated plant would be used for 15 years, with an estimated salvage value of \(30,000. Justice estimated that the productive machinery would have a remaining useful life of 5 years and a salvage value of \)3,000. Darby’s depreciation policy specifies the 200% declining-balance method for machinery and the 150% decliningbalance method for the

plant. One-half year’s depreciation is taken in the year the plant is placed in service, and one-half year is allowed when the property is disposed of or retired. Darby uses a 360-day year for calculating interest costs.

Instructions

  1. Determine the amounts to be recorded on the books of Darby Sporting Goods Inc. as of December 31, 2017, for each of the following properties acquired from Encino Athletic Equipment Company.
    1. Land.
    2. Buildings.
    3. Machinery.
  2. Calculate Darby Sporting Goods Inc.’s 2018 depreciation expense, for book purposes, for each of the properties acquired from Encino Athletic Equipment Company.
  3. Discuss the arguments for and against the capitalization of interest costs.

(Depletion and Depreciation—Mining) Khamsah Mining Company has purchased a tract of mineral land for \(900,000. It is estimated that this tract will yield 120,000 tons of ore with sufficient mineral content to make mining and processing profitable. It is further estimated that 6,000 tons of ore will be mined the first and last year and 12,000 tons every year in between. (Assume 11 years of mining operations.) The land will have a salvage value of \)30,000.

The company builds necessary structures and sheds on the site at a cost of \(36,000. It is estimated that these structures can serve 15 years but, because they must be dismantled if they are to be moved, they have no salvage value. The company does not intend to use the buildings elsewhere. Mining machinery installed at the mine was purchased secondhand at a cost of \)60,000. This machinery cost the former owner $150,000 and was 50% depreciated when purchased. Khamsah Mining estimates that about half of this machinery will still be useful when the present mineral resources have been exhausted, but that dismantling and removal costs will just about offset its value at that time. The company does not intend to use the machinery elsewhere. The remaining machinery will last until about one-half the present estimated mineral ore has been removed and will then be worthless. Cost is to be allocated equally between these two classes of machinery.

Instructions

  1. As chief accountant for the company, you are to prepare a schedule showing estimated depletion and depreciation costs for each year of the expected life of the mine.
  2. Also compute the depreciation and depletion for the first year assuming actual production of 5,000 tons. Nothing occurred during the year to cause the company engineers to change their estimates of either the mineral resources or the life of the structures and equipment.
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