Santayana Company purchased a machine on January 1, 2011, for $20,000 with an estimated salvage value of $5,000 and an estimated useful life of 8 years. On January 1, 2013, Santayana decides the machine will last 12 years from the date of purchase. The salvage value is still estimated at $5,000. Using the straight-line method, the new annual depreciation will be .

$1,125

Explanation:

Given that,

Cost of machine = $20,000

Estimated salvage value = $5,000

Estimated useful life = 8 years

Depreciation refers to the reduction in the value of the fixed assets of a particular company with the passage of time.

Here, we are using the straight line method,

Annual depreciation is as follows:

= (Cost of machine - Salvage value) ÷ Estimated useful years

= ($20,000 - $5,000) ÷ 8

= $1,875

Depreciation amount for the year 2011 = $1,875

Depreciation amount for the year 2012 = $1,875

Therefore, the book value of the machine at the beginning of January 1, 2013 is as follows:

= Cost of machine - Depreciation amount for the year 2011 - Depreciation amount for the year 2012

= $20,000 - $1,875 - $1,875

= $16,250

Now, the Santayana decides the machine will last 12 years from the date of purchase and we have already deduct the depreciation for the 2 years. So, we need to consider only 10 years for calculating the new annual depreciation.

Salvage value remains the same.

New annual depreciation:

= (Book value at the beginning of 2013 - Salvage value) ÷ Useful life

= ($16,250 - $5,000) ÷ 10

= $11,250 ÷ 10

= $1,125

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