Question

On January 1st 2010, SRC company paid cash to purchase an automobile. The car dealer gave SRC $1,000 cash discount off of a $19,000 list price. However SRC paid an additional $2,000 to equip the automobile with more luxurious interior so would have a greater appeal to a client's. SRC expect the automobile to have a 4-year useful life and to lease it for 100,000 miles before disposing of it. SRC also estimates a salvage value of $4,000. SRC Lisa automobile to customers who drove it 30,000 miles(2010), 10,000 miles(2011), 40,000 miles (2012), and 25,000 miles (2013), during 2010, 2011, 2012, and 2013.

Compute the annual depreciating expense

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for the automobile for 2010- 2013 by completing the following depreciation methods

1. straight line
2. double declining balance
3. units of production

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SRC Company
Workings Note
Purchase cost of automobile            19,000.00 G
Add: Cost of luxurious interior              2,000.00
Total cost of automobile           21,000.00
Less: Residual Value              4,000.00
Depreciable Cost           17,000.00 A
Straight Line Method Straight Line Method 2010 2011 2012 2013
Depreciable Value            17,000.00 See A Depreciation Expense        4,250.00                         4,250.00                                      4,250.00                         4,250.00
Life                      4.00 B Accumulated depreciation        4,250.00                         8,500.00                                    12,750.00                       17,000.00
Annual depreciation              4,250.00 C=A/B NBV      16,750.00                       12,500.00                                      8,250.00                         4,000.00
Double Declining Method Double Declining Method 2010 2011 2012 2013
Total cost of Truck            21,000.00 See G Depreciation Expense      10,500.00                         5,250.00                                      1,250.00                                      -  
Life                      4.00 See B Accumulated depreciation      10,500.00                       15,750.00                                    17,000.00                       17,000.00
Annual depreciation              5,250.00 H=G/B NBV      10,500.00                         5,250.00                                      4,000.00                         4,000.00
Depreciation rate 25.00% I=H/G
Double Declining Depreciation % 50.00% J=I*2
Please note that under Double Declining Method the asset is depreciated till it reaches its salvage value. Then depreciation is stopped so there is no depreciation for 2013.
Also if we use 50% depreciation rate then depreciation for 2012 will be $ 2,625 but it will reduced the book value to $ 2,625 and it should not be less than $ 4,000 so depreciation for 2012 is $ 1,250.
Units of Production Method Date 2010 2011 2012 2013
Depreciable Value            17,000.00 See A Miles driven      30,000.00                       10,000.00                                    40,000.00                       25,000.00
Life (miles)         100,000.00 P Depreciation Expense        5,100.00                         1,700.00                                      6,800.00                         3,400.00
Depreciation per unit                      0.17 Q=P/A Accumulated depreciation        5,100.00                         6,800.00                                    13,600.00                       17,000.00
NBV      15,900.00                       14,200.00                                      7,400.00                         4,000.00
Please note that the asset is depreciated till it reaches its salvage value.
So we use $ 0.17 per mile then depreciation for 2013 will be $ 4,250 but it will reduced the book value to $ 3,150 and it should not be less than $ 4,000 so depreciation for 2013 is $ 3,400.
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