Northeast Airline
Cost = $ 37,500,000
Residual value = $ 5,500,000
Useful life = 4 years
Life = 40,00,000 miles
1st year = 13,00,000 miles
1a) Depreciation under straight line method:
Depreciation = (cost - residual value) / useful life
= (37,500,000-5,500,000)/4
= 32,000,000/4 = $ 80,00,000
1b) Depreciation under units of production method:
Depreciation per mile = (cost - residual value)/ total miles
= (37,500,000-5,500,000)/40,00,000
= 32,000,000/40,00,000 = 8 per mile
Depreciation for 1st year = Depreciation per mile × no of miles in 1 St year
= 8 × 13,00,000 miles = $ 10,400,000
1c) Depreciation rate under straight line method = Depreciation / Depreciable cost
= 80,00,000/32,000,000 = 25%
Depreciation rate under double declining method = 2 × rate under straight line method
= 2 × 25% = 50%
Depreciation for 1 St year = Depreciable cost × rate under double declining method
= 32,000,000 × 50% = $ 16,000,000
2. All three methods. the Book value at end of 1st year:
Straight line method ($) | Units of production ($) | Double declining method ($) | |
Cost | 37,500,000 | 37,500,000 | 37,500,000 |
Less: Accumulated depreciation | (80,00,000) | (10,400,000) | (16,000,000) |
Book value | 29,500,000 | 27,100,000 | 21,500,000 |
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