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(Depreciation Computations—SYD, DDB—Partial Periods) Judds Company purchased a new plant asset on April 1, 2017, at a cost of \(711,000. It was estimated to have a service life of 20 years and a salvage value of \)60,000. Judds’ accounting period is the calendar year.

Instructions

  1. Compute the depreciation for this asset for 2017 and 2018 using the sum-of-the-years’-digits method.
  2. Compute the depreciation for this asset for 2017 and 2018 using the double-declining-balance method.

Short Answer

Expert verified
  1. Depreciation for 2017 is $46,500 and for 2018 is $59,675
  2. Depreciation for 2017 is 453,325and for 2018 is $65,768

Step by step solution

01

Meaning of Depreciation                                                                                                     

The term "depreciation" refers to the process of diminishing the book value of fixed assets over time.Shrinkage is calculated using the cost of the assets used in the company rather than the market worth of the assets.

02

(a) Computing the depreciation for the asset for 2017 and 2018 using the sum-of-the-years’-digits method.

Calculating the sum of years’ digit value

Sumofyear'sdigits=n(n+1)2=20(20+1)2=210

Calculating depreciation for 2017

Deprecaition=(Plantassetcost-Salvagevalue)×NumberofmonthNumberofmonthinayear×ServicelifeSumofyear'sdigit=($711,000-$60,000)×912×20210=$651,000×912×20210=$46,500

Calculating depreciation for 2018 for the first 3 month

Deprecaition=(Plantassetcost-Salvagevalue)×NumberofmonthNumberofmonthinayear×ServicelifeSumofyear'sdigit=($711,000-$60,000)×312×20210=$651,000×312×20210=$15,500

Calculating depreciation for 2018 for the first next 9 months

Deprecaition=(Plantassetcost-Salvagevalue)×NumberofmonthNumberofmonthinayear×ServicelifeSumofyear'sdigit=($711,000-$60,000)×912×19210=$651,000×912×19210=$44,175

Therefore depreciation for 2018 is $15,500 + $44,175 = $59,675
03

(b) Compute the depreciation for this asset for 2017 and 2018 using the double-declining-balance method

Calculating double declining percentage

Doubledecliningdepreciationpercentage=100%Usefullife×2=100%20×2=10%

Calculating depreciation for 2017

Depreciation=Plantassetcost×NumberofmonthsNumberofmonthsinayear×Depreciation rate=$711,000×912×10%=$711,000×912×10100=$53,325

Calculating depreciation for 2018

Depreciation=(Plantassetcost-Depreciation for2017)×Depreciation rate=($711,000-$53,325)×10%=$657,675×10100=$65,768

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Most popular questions from this chapter

(Ratio Analysis) The 2014 annual report of Tootsie Roll Industries contains the following information.

(in millions)

December 31, 2014

December 31, 2013

Total assets

\(910.4

\)888.4

Total liabilities

219.3

208.1

Net sales

539.9

539.6

Net income

63.2

60.8

Instructions

Compute the following ratios for Tootsie Roll for 2014.

  1. Asset turnover.
  2. Return on assets.
  3. Profit margin on sales.
  4. How can the asset turnover be used to compute the return on assets?

(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.

(Composite Depreciation) Presented below is information related to LeBron James Manufacturing Corporation.

Asset

Cost

Estimated Salvage

Estimated Life (in years)

A

\(40,500

\)5,500

10

B

33,600

4,800

9

C

36,000

3,600

9

D

19,000

1,500

7

E

23,500

2,500

6

Instructions

  1. Compute the rate of depreciation per year to be applied to the plant assets under the composite method.
  2. Prepare the adjusting entry necessary at the end of the year to record depreciation for the year.
  3. Prepare the entry to record the sale of asset D for cash of $4,800. It was used for 6 years, and depreciation was entered under the composite method.

(Depreciation for Partial Period—SL, SYD, and DDB) Alladin Company purchased Machine #201 on May 1, 2017. The following information relating to Machine #201 was gathered at the end of May.

Price

\(85,000

Credit terms

2/10, n/30

Freight-in

\) 800

Preparation and installation costs

\( 3,800

Labor costs during regular production operations

\)10,500

It is expected that the machine could be used for 10 years, after which the salvage value would be zero. Alladin intends to use the machine for only 8 years, however, after which it expects to be able to sell it for $1,500. The invoice for Machine #201 was paid May 5, 2017. Alladin uses the calendar year as the basis for the preparation of financial statements.

Instructions

  1. Compute the depreciation expense for the years indicated using the following methods. (Round to the nearest dollar.)
    1. Straight-line method for 2017.
    2. Sum-of-the-years’-digits method for 2018.
    3. Double-declining-balance method for 2017.
  2. Suppose Kate Crow, the president of Alladin, tells you that because the company is a new organization, she expects it will be several years before production and sales reach optimum levels. She asks you to recommend a depreciation method that will allocate less of the company’s depreciation expense to the early years and more to later years of the assets’ lives. What method would you recommend?

(Unit, Group, and Composite Depreciation) The certified public accountant is frequently called upon by management for advice regarding methods of computing depreciation. Of comparable importance, although it arises less frequently, is the question of whether the depreciation method should be based on consideration of the assets as units, as a group, or as having a composite life.

Instructions

  1. Briefly describe the depreciation methods based on treating assets as

(1) units and

(2) a group or as having a composite life.

  1. Present the arguments for and against the use of each of the two methods.
  2. Describe how retirements are recorded under each of the two methods.
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