Computing second-year depreciation and accumulated depreciationat the beginning of 2016, air asia purchased a used airplane at a cost of $40,000,000. air asia expects the plane to remainuseful for eight years (5,000,000 miles) and to have a residual value of $5,000,000. air asia expects the plane to be flown1,200,000 miles the first year and 1,400,000 miles the second year. requirements1 compute second-year (2017) depreciation expense on the plane using the following methods: a. straight-lineb. units-of-productionc double-declining-balance2 calculate the balance in accumulated depreciation at the end ofthe second year for all three methods.

1. a.$4,375,000

  b. $7,500,000

 c. $9,800,000

2. $8,750,000

  $18,200,000

  $17,500,000

Explanation:

1. The computation of the depreciation expense for the second year is presented  below:

a) Straight-line method:

= (Purchase value of airplane - residual value) ÷ (useful life)

= ($40,000,000  - $5,000,000) ÷ (8 years)

= ($35,000,000) ÷ (8 years)  

= $4,375,000

In this method, the depreciation is same for all the remaining useful life

(b) Double-declining balance method:

First we have to find the depreciation rate which is shown below:

= One ÷ useful life

= 1 ÷ 8

= 12.5%

Now the rate is double So, 25%

In year 1, the original cost is $40,000,000 so the depreciation is $10,000,000 after applying the 25% depreciation rate

And, in year 2, the $30,000,000 × 25% = $7,500,000

(c) Units-of-production method:

= (Purchase value of airplane - residual value) ÷ (estimated miles)  

= ($40,000,000  - $5,000,000) ÷ ($5,000,000 miles)

= ($35,000,000) ÷ ($5,000,000 miles)  

= $7 per miles

In first year, it would be

= Miles in first year × depreciation per miles

= 1,200,000 miles × $7

= $8,400,000

Now for the second year, it would be  

= Miles in second year × depreciation per miles

= 1,400,000 miles × $7

= $9,800,000

2. The calculation of the accumulated depreciation balance would be

Straight line method:

= $4,375,000 + $4,375,000

= $8,750,000

Double-declining balance method:

= $10,000,000 + $7,500,000

= $17,500,000

Units-of-production method:

= $8,400,000 + $9,800,000

=  $18,200,000

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