At the beginning of 2019, robotics inc. acquired a manufacturing facility for $13.5 million. $10.5 million of the purchase price was allocated to the building. depreciation for 2019 and 2020 was calculated using the straight-line method, a 25-year useful life, and a $2.5 million residual value. in 2021, the estimates of useful life and residual value were changed to 20 total years and $650,000, respectively. what is depreciation on the building for 2021

$511,667

Explanation:

The computation of the depreciation expense for 2019 and 2020 is shown below:

= (Purchase price - residual value) ÷ (useful life)

= ($10,500,000 - $2,500,000) ÷ (25 years)

= ($8,000,000) ÷ (25 years)  

= $320,000

The depreciation in this method is the same for the rest of the useful life

Now the book value for 2021 would be

= Purchase price - depreciation for 2 years

= $10,500,000 - $320,000 × 2

= $9,860,000

Now the depreciation for 2021 would be

= ($9,860,000 - $650,000) ÷ 18 years

= $511,667