Use the following method to calculate the yearly depreciation allowances and book values for a firm that has purchased $150,000 worth of office equipment that qualifies as depreciation property. the equipment is estimated to have a salvage (market) value of $30,000 (20% of the original cost) after the end of its 10-year depreciable life.

a. straight line
b. macrs
c. sum-of-years' digits

a. Straight Line Method Depreciation= $ 2400

b. MACRS

c. Sum-of-Years' Digits

Explanation:

a. Straight Line Method Depreciation=

Purchase Cost- Salvage Value/ No of useful life *depreciation rate

=$ 150,000- $30,000/10 * 20%

=120,000/10* 20%= 12000* 20/100=$ 2400

b. MACRS

Since it is a non-form 10-year property, the company can elect to use either the 150% or 200% declining balance method.

Depreciation in 1st Year = Cost ×1/Useful Life× A × Depreciation Convention

Depreciation in Subsequent Years =

(Cost − Depreciation in Previous Years) ×1/ Recovery Period× A

Where,

A is 100% or 150% or 200%.

Depreciation for the the first year $ 150,000/10 *200%= $30,000

Depreciation for the the 2nd year =$ 150,000-30,000/10 *200%= $24,000

Depreciation for the the third year =$ 150,000-30,000- 24000/10 *200%

=$ 19,200

Depreciation for the the 4th year $ 150,000-30,000-24000-19200/10 *200%=  Note A

Note A: MACRS declining balance changes to straight-line method when that method provides an equal or greater deduction. Deduction under 200% declining balance MACRS for 4th year  would be $ 153,600 ($150000 - $30,000 - $24000 - $19200  × 1/10 × 200%. This is greater than depreciation under straight line method .

c. Sum-of-Years' Digits Method Depreciation

Depreciation Amount = Acquisition Cost - Salvage Value = $ 120,000

Sum of useful life= 10+9+8+7+6+5+4+3+2+1= 55

Depreciation Factor = 10/55, 9/55, 8/55, 7/55 etc.

Depreciation for the 1st year= 10/55* 120,000= $ 21,818.2

Depreciation for the 2nd year= 9/55* 120,000= $ 19 636.4

Depreciation for the 3rd year= 8/55* 120,000=  $17,546

Depreciation for the 4th year= 7/55* 120,000=  $ 15,273

Depreciation for the 5th year= 6/55* 120,000= $ 13,091

Depreciation for the 6th year= 5/55* 120,000= $ 10,909.1

Depreciation for the 7th year= 4/55* 120,000= $ 8727.3

Depreciation for the 8th year= 3/55* 120,000=  $ 6545.5

Depreciation for the 9th year= 2/55* 120,000=  $4363.63

Depreciation for the 10th year= 1/55* 120,000= $ 2181.81

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