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Thursday, August 23, 2012

Depreciation Methods

GAAP

     Depreciation is a systematic and rational process of distributing the cost of tangible assets over the life of assets.
     Depreciation is a process of allocation.
     Cost to be allocated = acquisition cot - salvage value
     Allocated over the estimated useful life of assets.
     Allocation method should be systematic and rational.

Depreciation Methods

     Depreciation methods based on time
           Straight line method
           Declining balance method         
           Sum-of-the-years'-digits method

     Depreciation based on use (activity)

 
Straight Line Depreciation Method

     Depreciation = (Cost - Residual value) / Useful life

[Example, Straight line depreciation] 

       On April 1, 2011, Company A purchased an equipment at the cost of $140,000.  This equipment is estimated to have 5 year useful life.  At the end of the 5th year, the salvage value (residual value) will be $20,000.  Company A recognizes depreciation to the nearest whole month.  Calculate the depreciation expenses for 2011,  2012 and 2013 using straight line depreciation method. 

       Depreciation for 2011
           = ($140,000 - $20,000) x 1/5 x 9/12 = $18,000

       Depreciation for 2012
           = ($140,000 - $20,000) x 1/5 x 12/12 = $24,000

       Depreciation for 2013
           = ($140,000 - $20,000) x 1/5 x 12/12 = $24,000


Declining Balance Depreciation Method

     Depreciation = Book value x Depreciation rate
       Book value = Cost - Accumulated depreciation
      
       Depreciation rate for double declining balance method
           = Straight line depreciation rate x 200%

       Depreciation rate for 150% declining balance method
           = Straight line depreciation rate x 150%

[Example, Double declining balance depreciation] 

       On April 1, 2011, Company A purchased an equipment at the cost of $140,000.  This equipment is estimated to have 5 year useful life.  At the end of the 5th year, the salvage value (residual value) will be $20,000.  Company A recognizes depreciation to the nearest whole month.  Calculate the depreciation expenses for 2011,  2012 and 2013 using double declining balance depreciation method. 

       Useful life = 5 years  -->  Straight line depreciation rate = 1/5 = 20% per year

       Depreciation rate for double declining balance method
            = 20% x 200% = 20% x 2 = 40% per year

       Depreciation for 2011
           = $140,000 x 40% x 9/12 = $42,000

       Depreciation for 2012
           = ($140,000 - $42,000) x 40% x 12/12 = $39,200

       Depreciation for 2013
           = ($140,000 - $42,000 - $39,200) x 40% x 12/12 = $23,520

 
   Double Declining Balance Depreciation Method
 
YearBook Value
at the beginning
Depreciation RateDepreciation ExpenseBook Value at the year-end
2011$140,00040%$42,000 (*1)$98,000
2012$98,00040%$39,200 (*2)$58,800
2013$58,80040%$23,520 (*3)$35,280
2014$35,28040%$14,112 (*4)$21,168
2015$21,16840%$1,168 (*5)$20,000
   (*1) $140,000 x 40% x 9/12 = $42,000
   (*2) $98,000 x 40% x 12/12 = $39,200
   (*3) $58,800 x 40% x 12/12 = $23,520
   (*4) $35,280 x 40% x 12/12 = $14,112
   (*5) $21,168 x 40% x 12/12 = $8,467

           --> Depreciation for 2015 is $1,168 to keep book value same as salvage value.
           --> $21,168 - $20,000 = $1,168 (At this point, depreciation stops.)

 
[Example, 150% declining balance depreciation]
 
       On April 1, 2011, Company A purchased an equipment at the cost of $140,000.  This equipment is estimated to have 5 year useful life.  At the end of the 5th year, the salvage value (residual value) will be $20,000.  Company A recognizes depreciation to the nearest whole month.  Calculate the depreciation expenses for 2011,  2012 and 2013 using double declining balance depreciation method. 

       Useful life = 5 years  -->  Straight line depreciation rate = 1/5 = 20% per year

       Depreciation rate for double declining balance method
            = 20% x 150% = 20% x 1.5 = 30% per year

       Depreciation for 2011
           = $140,000 x 30% x 9/12 = $31,500

       Depreciation for 2012
           = ($140,000 - $31,500) x 30% x 12/12 = $32,550

       Depreciation for 2013
           = ($140,000 - $31,500 - $32,550) x 30% x 12/12 = $22,785


   150% Declining Balance Depreciation Method
 
YearBook Value
at the beginning
Depreciation RateDepreciation ExpenseBook Value at the year-end
2011$140,00030%$31,500 (*1)$108,500
2012$108,50030%$32,550 (*2)$75,950
2013$75.95030%$22,785 (*3)$53,165
2014$53,16530%$15,950 (*4)$37,216
2015$37,21630%$11,165 (*5)$26,051
2016$26,05130%$6,051 (*6)$20,000
   (*1) $140,000 x 30% x 9/12 = $31,500
   (*2) $108,500 x 30% x 12/12 = $32,550
   (*3) $75,950 x 30% x 12/12 = $22,785
   (*4) $53,165 x 30% x 12/12 = $15,950
   (*5) $37,216 x 30% x 12/12 = $11,165
   (*6) $26,051 x 30% x 12/12 = $7,815

           --> Depreciation for 2016 is $6,051 to keep book value same as salvage value.
           --> $26,051 - $20,000 = $6,051 (At this point, depreciation stops.)

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