Question

A building acquired at the beginning of the year at a cost of $1,375,000 has an estimated residual value of $250,000 and an estimated useful life of 40 years. Determine the following.
(a) The double-declining-balance rate
(b) The double-declining-balance depreciation for the first year
A building acquired at the beginning of the year at a cost of $1,450,000 has an estimated residual value of $300,000 and an estimated useful life of 10 years. Determine the following:
(a) The depreciable cost
(b) The straight-line rate
(c) The annual straight-line depreciation

Answer 1

Answer:

a. 0.05

b. $68,750

a. $1,150,000

b. 0.1

c. $115,000

Explanation:

Depreciation expense using the double declining method = Depreciation rate x cost of the asset

Depreciation rate = 2 x (1/useful life)  = 2 / 40 = 0.05

The double-declining-balance depreciation for the first year = 0.05 x $1,375,000  = $68,750

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

The depreciable cost = Cost of asset - Salvage value = $1,450,000 - $300,000 = $1,150,000

The straight line rate = 1 / useful life = 1 / 10 = 0.1

The annual straight-line depreciation = $1,150,000 x 0.1 = $115,000