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(Depreciation for Fractional Periods) On March 10, 2019, Lost World Company sells equipment that it purchased for \(192,000 on August 20, 2012. It was originally estimated that the equipment would have a life of 12 years and a salvage value of \)16,800 at the end of that time, and depreciation has been computed on that basis. The company uses the straight line method of depreciation.

Instructions

  1. (a) Compute the depreciation charge on this equipment for 2012, for 2019, and the total charge for the period from 2013 to 2018, inclusive, under each of the six following assumptions with respect to partial periods.
    1. Depreciation is computed for the exact period of time during which the asset is owned. (Use 365 days for base and record depreciation through March 9, 2019.)
    2. Depreciation is computed for the full year on the January 1 balance in the asset account.
    3. Depreciation is computed for the full year on the December 31 balance in the asset account.
    4. Depreciation for one-half year is charged on plant assets acquired or disposed of during the year.
    5. Depreciation is computed on additions from the beginning of the month following acquisition and on disposals to the beginning of the month following disposal.
    6. Depreciation is computed for a full period on all assets in use for over one-half year, and no depreciation is charged on assets in use for less than one-half year. (Use 365 days for base.)
  2. (b) Briefly evaluate the methods above, considering them from the point of view of basic accounting theory as well as simplicity of application.

Short Answer

Expert verified

Answer

The accounting policy should be used and followed for computing the depreciation consistently from year to year in any method. The company was following the straight-line depreciation method.

Step by step solution

01

Meaning of Depreciation 

In financial accounting, depreciation could be astrategy for spreading out the cost of tangible resources over their functional lives. Essentially, it is the disintegration of the value of an asset, which happens over time due to continuous use and abrasion of the asset.

02

(a 1) Calculating Depreciation under assumption 1 

Calculating annual depreciation charge

Depreciation=Equipmentcost-SalvagevalueUsefullife=$192,000-$16,80012=$14,600p.a.

Calculating the total number of days

Total number of days since the asset was purchased on August 20, 2012:

Totaldays=Sumofdays=11+30+31+30+31=133days

So, depreciation for 2012

Depreciation=Depreciation perannum×TotaldaysTotaldaysinayear=$14600×133365=$5,320


Depreciation from 2013 till 2018

Depreciation=Numberofyear×Depreciationperannum=6×$14,600=$87,600

Calculating the total number of days


Total number of days for 2019 from Jan.1, 2019, till March

Totaldays=Sumofdays=31+28+10=69days

So, depreciation for 2019 is

Depreciation=Depreciationperannum×TotalnumberofdaysTotaldaysinayear=$14,600×69365=$2,760

03

(a 2) Calculating depreciation for assumption 2 

Depreciation for 2012 shall be $0 since the asset has been purchased in the middle of the year 2012

Depreciation from 2013 till 2018 shall be:

Depreciation=Numberofyear×Depreciationperannum=6×$14,600=$87,600


Depreciation for 2019 is $14,600 since the asset was sold in March, and the balance on January 1, 2019, was full asset value.

04

(a 3) Calculating depreciation for assumption 3 

Depreciation for 2012 shall be $14,600 since the asset has been purchased in the middle of the year 2012.

Depreciation from 2013 till 2018 shall be:

Depreciation=Numberofyear×Depreciationperannum=6×$14,600=$87,600

Depreciation for 2019 is $ 0 since the asset has been sold in March.

05

(a 4) Calculating depreciation for assumption 4 

Depreciation for 2012 shall be

Depreciation=Annualdepreciation×MonthinnumberMonthinayear=$14,600×612=$7,300

Note: the asset has been purchased in the middle of the year.

Depreciation from 2013 till 2018 shall be:

Depreciation=Numberofyear×Depreciationperannum=6×$14,600=$87,600

Depreciation for 2019 is:

localid="1651481195067" Depriciation=Depreciationperannum×MonthinnumberMonthinayear=$14,600×612=$7,300

Note: The asset has been sold in March.

06

(a 5) Calculating depreciation for assumption 5 

The depreciation charge for 2012

Calculating the total number of days

Total number of days from 1st September 2012 to 31st December 2012

Totaldays=Sumofdays=30+31+30+31=122days

So, depreciation for 2012:

Depreciation=Depreciationperannum×TotalnumberofdaysTotaldaysinayear=$14,600×122365=$4,880

Depreciation from 2013 till 2018 shall be:

Depreciation=Numberofyear×Depreciationperannum=6×$14,600=$87,600

Calculating the number of days

Total number of days from 2019 from January 1, 2019, till March 31, 2019

Totaldays=Sumofdays=31+28+31=90days

So, depreciation for 2019 is:

Depreciation=Depreciationperannum×TotalnumberofdaysTotaldaysinayear=$14,600×90365=$3,600

07

(a 6) Calculating depreciation for assumption 6

Depreciation for 2012 shall be $0 since asset purchased in August and once used less than half of the year on 31st December 2012

Depreciation from 2013 till 2018 shall be:

Depreciation=Numberofyear×Depreciationperannum=6×$14,600=$87,600

Depreciation for 2019 is $0 since the asset has been sold in March.

08

(b) Briefly evaluate the methods 

The most accurate distribution of cost is given by methods 1 and 5 if it is assumed that a straight line is satisfactory. Reasonable accuracy is normally given by 2, 3, or 4. The simplest applications are 6, 2, 3, 4, 5, and 1, in about that order. Methods 2, 3, and 4 combine reasonable accuracy with the simplicity of application.

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Most popular questions from this chapter

(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?

Explain how gains or losses on impaired assets should be reported in income.

(Depletion Computations—Mining) Alcide Mining Company purchased land on February 1, 2017, at a cost of \(1,190,000. It is estimated that a total of 60,000 tons of mineral was available for mining. After it has removed all the natural resources, the company will be required to restore the property to its previous state because of strict environmental protection laws. It estimates the fair value of this restoration obligation at \)90,000. It believes it will be able to sell the property afterwards for \(100,000. It incurred developmental costs of \)200,000 before it was able to do any mining. In 2017, resources removed totaled 30,000 tons. The company sold 22,000 tons.

Instructions

Compute the following information for 2017.

  1. Per unit material cost.
  2. Total material cost of December 31, 2017, inventory.
  3. Total material cost in cost of goods sold at December 31, 2017.

Fernandez Corporation purchased a truck at the beginning of 2017 for \(50,000. The truck is estimated to have a salvage value of \)2,000 and a useful life of 160,000 miles. It was driven 23,000 miles in 2017 and 31,000 miles in 2018. Compute depreciation expense for 2017 and 2018.

Distinguish among depreciation, depletion, and amortization.

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