Question

Computing first-year depreciation and book value At the beginning of the year, Austin Airlines purchased a used airplane for $33,500,000. Austin Airlines expects the plane to remain useful for five years (4,000,000 miles) and to have a residual value of $5,500,000. The company expects the plane to be flown 1,100,000 miles during the first year.
Requirements
1. Compute Austin first-year depreciation expense on the plane using the following methods: a. Straight-line
b. Units-of-production
c. Double-declining-balance
2. Show the airplane’s book value at the end of the first.

Answer 1

Answer:

1. a. $560,000

  b. $13,400,000

  c. $7,700,000

Explanation:

The computation of the depreciation expense and the year end book value for the first year is shown below:

a) Straight-line method:

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

= ($33,500,000 - $5,500,000) ÷ (5 years)

= ($28,000,000) ÷ (5 years)  

= $560,000

In this, the depreciation expense 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:

= Percentage ÷ useful life

= 100 ÷ 5

= 20%

Now the rate is double So, 40%

In year 1, the original cost is $33,500,000, so the depreciation is $13,400,000 after applying the 40% depreciation rate

(c) Units-of-production method:

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

= ($33,500,000 - $5,500,000) ÷ ($4,000,000 miles)

= ($28,000,000) ÷ ($4,000,000 miles)  

= $7 per miles

Now for the first year, it would be  

= Expected miles in first year × depreciation per miles

= 1,100,000 miles × $7 per miles

= $7,700,000

Now the book value would be

Straight-line method:

= Acquired value of a plain - accumulated depreciation  

= $33,500,000  -  $560,000

= $32,940,000

Double-declining balance method:

= Acquired value of a plain - accumulated depreciation  

= $33,500,000  - $13,400,000

= $20,100,000

Units-of-production method:

= Acquired value of a plain - accumulated depreciation  

= $33,500,000  - $7,700,000

= $25,800,000