PR 10-2A Compare three depreciation methods
Breyer Company purchased packaging equipment on January 3, 2010, for $101,250. The equipment was expected to have a useful life of three years, or 25,000 operating hours, and a residual value of $7,500. The equipment was used for 9,500 hours during 2010, 8,400 hours in 2011, and 7,100 hours in 2012. Instructions
1. Determine the amount of depreciation expense for the years ended December 31, 2010, 2011, and 2012, by (a) the straight-line method, (b) the units-of-production method, and (c) the double-declining-balance method. Also determine the total depreciation expense for the three years by each method. The following columnar headings are suggested for recording the depreciation expense amounts:
Depreciation Expense
Year
StraightLine Method
Units-of- Production Method
Double-DecliningBalance Method
2. What method yields the highest depreciation expense for 2010? 3. What method yields the most depreciation over the three–year life of the equipment?
Answer:
1.
Depreciation Expense a. Straight- b. Units-of- c. Double- Line Production Declining-Balance Year Method Method Method 2010 $31,250 $35,625 $67,500 2011 31,250 31,500 22,500 2012 31,250 26,625 3,750 Total $93,750 $93,750 $93,750
Calculations:
Straight-line method:
($101,250 – $7,500)/3 = $31,250 each year
Units-of-production method:
($101,250 – $7,500)/25,000 hours = $3.75 per hour
2010: 9,500 hours @ $3.75 = $35,625
2011: 8,400 hours @ $3.75 = $31,500
2012: 7,100 hours @ $3.75 = $26,625
Double-declining-balance method:
2010: $101,250 × 2/3 = $67,500
2011: ($101,250 – $67,500) × 2/3 = $22,500
2012: ($101,250 – $67,500 – $22,500 – $7,500*) = $3,750
*Book value should not be reduced below the residual value of $7,500.
2. The double-declining-balance method yields the most depreciation expense in 2010 of $67,500.
3. All three depreciation methods yield the same total depreciation over the three-year life of the equipment of $93,750, which is the cost of the equipment of $101,250 less the residual value of $7,500.
1. Determine the amount of depreciation expense for the years ended December 31, 2010, 2011, and 2012, by (a) the straight-line method, (b) the units-of-production method, and (c) the double-declining-balance method. Also determine the total depreciation expense for the three years by each method. The following columnar headings are suggested for recording the depreciation expense amounts:
Depreciation Expense
Year
StraightLine Method
Units-of- Production Method
Double-DecliningBalance Method
2. What method yields the highest depreciation expense for 2010? 3. What method yields the most depreciation over the three–year life of the equipment?
Answer:
1.
Depreciation Expense a. Straight- b. Units-of- c. Double- Line Production Declining-Balance Year Method Method Method 2010 $31,250 $35,625 $67,500 2011 31,250 31,500 22,500 2012 31,250 26,625 3,750 Total $93,750 $93,750 $93,750
Calculations:
Straight-line method:
($101,250 – $7,500)/3 = $31,250 each year
Units-of-production method:
($101,250 – $7,500)/25,000 hours = $3.75 per hour
2010: 9,500 hours @ $3.75 = $35,625
2011: 8,400 hours @ $3.75 = $31,500
2012: 7,100 hours @ $3.75 = $26,625
Double-declining-balance method:
2010: $101,250 × 2/3 = $67,500
2011: ($101,250 – $67,500) × 2/3 = $22,500
2012: ($101,250 – $67,500 – $22,500 – $7,500*) = $3,750
*Book value should not be reduced below the residual value of $7,500.
2. The double-declining-balance method yields the most depreciation expense in 2010 of $67,500.
3. All three depreciation methods yield the same total depreciation over the three-year life of the equipment of $93,750, which is the cost of the equipment of $101,250 less the residual value of $7,500.