Question

On January 1, 2021, Canseco Plumbing Fixtures purchased equipment for $40,000. Residual value at the end of an estimated 7 year service life is expected to be $12,000. The company expects the equipment to operate for 12,500 hours. Required: a. Calculate depreciation expense for 2021 and 2022 using sum-of-the-years’-digits assuming the equipment was purchased on January 1, 2021. b. Calculate depreciation expense for 2021 and 2022 using sum-of-the-years’-digits assuming the equipment was purchased on March 31, 2021.

Answer 1

Answer:

Part a

2021  = $7,000

2022  = $6,000

Part b

2021  = $5,250

Explanation:

Sum of the year`s digit method provide for higher depreciation in early life of the asset with lower depreciation in later years.

Step 1

Some of digits calculation :

Year      Digits

2021        7

2022       6

2023       5

2024       4

2025       3

2026       2

2027        1

Total      28

Step 2

Determine the depreciable amount

Depreciable amount = Cost - Residual value

                                   = $40,000 - $12,000

                                   = $28,000

Step 3

Depreciation expense calculations

2021 = 7 / 28 x $28,000 = $7,000

2022 = 6/ 28 x $28,000 = $6,000

assuming the equipment was purchased on March 31, 2021

2021 = $7,000 x 9/12 = $5,250