(a) Under the straight line method, depreciation is calculated by the following formula:
Depreciation = Cost - Residual value / Useful life
Cost = $210000, Residual value = $24000, useful life = 10
Depreciation = ($210000 - $24000) / 10 = $18600
Under straight line method, depreciation remains the same for every year. So annual depreciation expense is $18600.
We need to calculate partial year (8 months) depreciation i.e. from May 1st to Dec 31 current year.
Partial year depreciation = $18600 * 8 / 12 = $12400.
Accumulated depreciation is the depreciation charged till date. So, accumulated depreciation is $12400.
Book value = Cost - Accumulated depreciation
Book value on December 31 = $210000 - $12400 = $197600.
b Under double declining balance method, depreciation is calculated by the following formula:
Depreciation = 2 * 1 / N * (Cost - Accumulated depreciation)
where, n is the no. of years or useful life and accumulated depreciation is depreciation charged till date
For current year, accumulated depreciation will be zero.
So, depreciation for current year will be:
Depreciation for current year = 2 * 1 / 10 * ($210000 - 0)
Depreciation = 2 * 1 / 10 * $210000 = $42000
Partial year depreciation for 8 months will be:
Partial year depreciation = $42000 * 8 / 12 = $28000
Book value = Cost - Accumulated depreciation
Book value on December 31 = $210000 - $28000 = $182000.
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