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Cost Scrap Value Estimated Life
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Machine A was in use for 3,000 hours in the rst year Machine B was in use for 1,000 hours in the rst year
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CHAPTER 15: Property, Plant, and Equipment: Depreciation Straight Line Depreciation = $4,000 annual depreciation expense* *($22,000 $2,000) / 5 years = $4,000 UOP hours of usage = $1.11 annual depreciation expense* *($22,000 $2,000) / 18,000 hours = $1.11
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Machine A=3,000 hours $1.11 = $3,330 1st year depreciation expense Machine B=1,000 hours $1.11 = $1,110 1st year depreciation expense The difference between the rst-year depreciation using the straightline method and that using the UOP method is considerable. Under the UOP method, machine B s limited use results in its having one-third the depreciation expense of machine A. Under the straight-line method, both machines carry the same depreciation expense, regardless of use. In this case, UOP is the more logical choice for reporting depreciation because it more accurately matches expense against periodic income. Mileage Driven. Under the third variation of UOP depreciation, instead of using time to calculate depreciation, the number of miles driven are the units. The depreciation expense per mile will remain constant over the life of the truck, and will be multiplied by the actual miles the truck is driven in each accounting period. For example, a truck costing $24,000 with a salvage value of $4,000 has an estimated useful life of 80,000 miles. If, in the rst year, it is driv en 18,000 miles, depreciation is calculated as follows: $24,000 (cost) $4,000 (salvage value)
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80,000 total estimated miles
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18,000 (miles driven) $.25 = $4,500 1st year depreciation expense Depreciation Expense, Truck 4,500
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Accumulated Depreciation, Truck 4,500
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Double-Declining Balance Double-declining balance is an accelerated method of depreciation be cause a greater amount of depreciation expense is taken in the early years of an asset s life and less is taken in later years. This method is preferred for the following reasons: = $.25 per mile
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114 BOOKKEEPING AND ACCOUNTING
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1. Technology can make an asset obsolete or inadequate before the asset wears out. 2. Most plant assets decline in value more quickly in their early years than in later years. 3. Often, an asset contributes most to a business during its rst years. 4. The expenditure for equipment is made at the beginning of the asset s life. 5. It is good accounting practice to charge more depreciation in the early years of an asset s useful life. The double-declining balance method (DDB) produces the highest amount of depreciation in earlier years. It does not recognize scrap val ue. Instead, the book value of the asset remaining at the end of the de preciation period becomes the scrap value. Under this method, the straight-line rate is doubled and applied to the declining book balance each year. Many companies prefer the double-declining balance method because of the faster write-off in the earlier years when the asset con tributes the most to the business and when the expenditure was actually made. The procedure is to apply a xed rate to the declining book value of the asset each year. As the book value declines, the depreciation be comes smaller. For example, a $17,000 asset is to be depreciated over 5 years. The double-declining balance rate is thus 40 percent per year.
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The $1,322 book value at the end of the fth year becomes the scrap value. If however, a scrap value of $2,000 had been estimated, the de preciation for the fth year would be $203 ($2,203 $2,000) instead of $881. The date of purchase should also be considered. Up to this point it has been assumed that the equipment was purchased at the beginning of the year, which is usually not the case. Therefore a change in the compu tation for the rst partial year is needed.
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