Question

Marshall-Miller & Company is considering the purchase of a new machine for $50,000, installed. The machine has a tax life of 5 years, and it can be depreciated according to the depreciation rates below. The firm expects to operate the machine for 4 years and then to sell it for $12,500. If the marginal tax rate is 40%, what will the after-tax salvage value be when the machine is sold at the end of Year 4?Year Depreciation Rate1 0.202 0.323 0.194 0.125 0.116 0.06a. $ 8,878b. $ 9,345c. $ 9,837d. $10,355e. $10,900

Answer 1

Answer:

$10,620

Explanation:

Depreciation for Year 1 = 0.202 × $50,000

                                       = $10,100

Depreciation for Year 2 = 0.323 × $50,000

                                       = $16,150

Depreciation for Year 3 = 0.194 × $50,000

                                       = $9,700

Depreciation for Year 4 = 0.125 × $50,000

                                       = $6,250

Accumulated depreciation = $10,100 + $16,150 + $9,700 + $6,250

                                             = $42,200

Book value of machine as on date of sale:

= Purchase price - Accumulated depreciation

= $50,000 - $42,200

= $7,800

Selling price = $12,500

Gain on sale of machine = $12,500 - $7,800

                                         = $4,700

Tax rate = 40%

Tax on capital gain = $4,700 × 0.40

                                = $1,880

Net proceeds on sale of machine:

= Selling price – Tax paid on capital gain

= $12,500 - $1,880

= $10,620