Answer:
The depreciation expense for the year 2017 will be $17664.
Explanation:
The double declining balance method is an accelerated method of charging depreciation on an asset. The depreciation rate under double declining balance method is twice of that of the straight line method and it charges higher depreciation in the initial years and less depreciation in the later years as it charges depreciation on the book value of the asset at start.
The formula for double declining method depreciation is,
Depreciation expense = 2 * Straight line Depreciation rate * Book Value at start of the period
The straight line depreciation rate is, 100% / 10 = 10% per year
The Depreciation expense for 2015 = 2 * 10% * 138000 = $27600
Book value at end of 2015 = 138000 - 27600 = $110400
The Depreciation expense for 2016 = 2 * 10% * 110400 = $22080
Book value at end of 2015 = $110400 - 22080 = $88320
The Depreciation expense for 2017 = 2 * 10% * 88320 = $17664
Book value at end of 2015 = 88320 - 17664 = $70656