Final answer:
The net book value of the aircraft on December 31 of the current year is $4,975,000, calculated by adding the capitalized repairs to the original cost and subtracting the accumulated depreciation including the current year's expense.
Step-by-step explanation:
To calculate the net book value of the aircraft on December 31 of the current year, we need to consider the original cost, accumulated depreciation, and any capital expenditures made during the year. The aircraft originally cost $4,700,000 and was half depreciated, which means an accumulated depreciation of $2,350,000. The repairs that improve fuel efficiency and extend the useful life are capitalized, adding $2,860,000 to the aircraft's book value. We also need to factor in depreciation for the current year.
The annual depreciation expense is calculated based on the original useful life of 20 years, which amounts to $235,000 per year ($4,700,000 / 20 years). Therefore, the net book value on December 31 is calculated as the original cost plus capital expenditures minus accumulated depreciation, including the current year's depreciation.
Here is the breakdown:
- Original cost: $4,700,000
- Accumulated depreciation up to last year: $2,350,000
- Depreciation for the current year: $235,000
- Capitalized repairs: +$2,860,000
Net book value = Original cost + Capitalized repairs - (Accumulated depreciation up to last year + Depreciation for the current year)
Net book value = $4,700,000 + $2,860,000 - ($2,350,000 + $235,000)
Net book value = $4,975,000