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(Depreciation Computations—SL, SYD, DDB) Deluxe Ezra Company purchases equipment on January 1, Year 1, at a cost of \(469,000. The asset is expected to have a service life of 12 years and a salvage value of \)40,000.

Instructions

  1. Compute the amount of depreciation for each of Years 1 through 3 using the straight-line depreciation method.
  2. Compute the amount of depreciation for each of Years 1 through 3 using the sum-of-the-years’-digits method.
  3. Compute the amount of depreciation for each of Years 1 through 3 using the double-declining-balance method. (In performing your calculations, round constant percentage to the nearest one-hundredth of a point and round answers to the nearest dollar.)

Short Answer

Expert verified
  1. Straight-line depreciation = $35,750
  2. Depreciation for Year 1,2 and 3 is $66,000,$60500 and $55,000

3. Depreciation for Year 1, 2 and 3 is $390,818, $65,149 and $54,289

Step by step solution

01

Meaning of Straight-Line Depreciation

Straight-line depreciation is the simplest way to assess depreciation over time.By allocating identical amounts to the asset's accounting periods over its useful life, it makes the asset's expense predictable along with smoothing net income.

02

(a) Computing the amount of depreciation for each of Years 1 through 3 using the straight-line depreciation method

Straight-line method depreciation for each of Years 1 through 3 =$35,750

Working notes:

Calculating the amount of depreciation

Straightlinedepreciation=Equipmentcost-SalvagevalueServicelife=$469,000-$40,00012=$429,00012=$35,750



03

(b) Computing the amount of depreciation for each of Years 1 through 3 using the sum-of-the-years’-digits method

Calculating the sum of years’ digit

Sumofyearsdigit=Servicelife×(Servicelife+1)2=12×132=78

Calculating depreciation for Year 1

Depreciation=NumberofyearsSumofyears×(Assetvalue-Salvagevalue)=1278×($469,000-$40,000)=1278×$429,000=$66,000

Calculating depreciation for Year 2

Depreciation=NumberofyearsSumofyears×(Assetvalue-Salvagevalue)=1178×($469,000-$40,000)=1178×$429,000=$60,500

Calculating depreciation for Year 3

Depreciation=NumberofyearsSumofyears×(Assetvalue-Salvagevalue)=1078×($469,000-$40,000)=1078×$429,000=$55,000



04

(c) Computing the amount of depreciation for each of Years 1 through 3 using the double-declining-balance method

Calculating double-declining-balance rate

Doubledecliningbalacemethodrate=TotalpercenatgeYears×2=100%12×2=16.67%

Calculating depreciation for Year 1

Depreciation=Equipmentvalue×Doubledecliningbalancemethodrate=$469,000×16.67%=$78,182

Calculating the book value of the asset after one year

Bookvalue=Equipmentcost-DepreciationofYear1=$469,000-$78,182=$390,818

Calculating depreciation for Year 2

Depreciation=(Equipmentcost-DepreciationofYear1)×Doubledecliningrate=($469,000-$78,182)×16.67%=$390,818×16.67%=$65,149

Calculating depreciation for Year 3

Depreciation=(Equipmentcost-DepreciationofYear1-DepreciationofYear2)×Doubledecliningrate=($469,000-$78,182-$65,149)×16.67%=$325,65×16.67%=$54,289

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Most popular questions from this chapter

It has been suggested that plant and equipment could be replaced more quickly if depreciation rates for income tax and accounting purposes were substantially increased. As a result, business operations would receive the benefit of more modern and more efficient plant facilities. Discuss the merits of this proposition.

(Depreciation and Error Analysis) A depreciation schedule for semi-trucks of Ichiro Manufacturing Company was requested by your auditor soon after December 31, 2018, showing the additions, retirements, depreciation, and other data affecting the income of the company in the 4-year period 2015 to 2018, inclusive. The following data were ascertained.

Balance of Trucks account, Jan. 1, 2015

Truck No. 1 purchased Jan. 1, 2012, cost

\(18,000

Truck No. 2 purchased July 1, 2012, cost

22,000

Truck No. 3 purchased Jan. 1, 2014, cost

30,000

Truck No. 4 purchased July 1, 2014, cost

24,000

Balance, Jan. 1, 2015

\)94,000

The Accumulated Depreciation—Trucks account previously adjusted to January 1, 2015, and entered in the ledger, had a balance on that date of \(30,200 (depreciation on the four trucks from the respective dates of purchase, based on a 5-year life, no salvage value). No charges had been made against the account before January 1, 2015.

Transactions between January 1, 2015, and December 31, 2018, which were recorded in the ledger, are as follows.

July 1, 2015 Truck No. 3 was traded for a larger one (No. 5), the agreed purchase price of which was \)40,000. Ichiro. paid the automobile dealer \(22,000 cash on the transaction. The entry was a debit to Trucks and a credit to Cash, \)22,000. The transaction has commercial substance.

Jan. 1, 2016 Truck No. 1 was sold for \(3,500 cash; entry debited Cash and credited Trucks, \)3,500.

July 1, 2017 A new truck (No. 6) was acquired for \(42,000 cash and was charged at that amount to the Trucks account. (Assume truck No. 2 was not retired.)

July 1, 2017 Truck No. 4 was damaged in a wreck to such an extent that it was sold as junk for \)700 cash. Ichiro received \(2,500 from the insurance company. The entry made by the bookkeeper was a debit to Cash, \)3,200, and credits to Miscellaneous Income, \(700, and Trucks, \)2,500.

Entries for straight-line depreciation had been made at the close of each year as follows: 2015, \(21,000; 2016, \)22,500; 2017, \(25,050; and 2018, \)30,400.

Instructions

  1. For each of the 4 years, compute separately the increase or decrease in net income arising from the company’s errors in determining or entering depreciation or in recording transactions affecting trucks, ignoring income tax considerations.
  2. Prepare one compound journal entry as of December 31, 2018, for adjustment of the Trucks account to reflect the correct balances as revealed by your schedule, assuming that the books have not been closed for 2018.

Dickinson Inc. owns the following assets.

Asset

Cost

Salvage

Estimated useful life

A

\(70,000

\)7,000

10 years

B

50,000

5,000

5 years

C

82,000

4,000

12 years

Compute the composite depreciation rate and the composite life of Dickinson’s assets.

Tan Chin Company purchases a building for \(11,300,000 on January 2, 2017. An engineer’s report shows that of the total purchase price, \)11,000,000 should be allocated to the building (with a 40-year life), \(150,000 to 15-year property, and \)150,000 to 5-year property. No residual (salvage) value should be considered. Compute depreciation expense for 2017 using component depreciation.

(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.
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