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halcrow yolles purchased equipment for new highway construction in manitoba, canada, costing $600,000. estimated salvage at the end of the expected life of 6 years is $50,000. various acceptable depreciation methods are being studied currently. determine the book value for year 4 according to the double declining balance (ddb) depreciation method. question 1 options: $105,425 $110,158 $136,513 $120,104 $118,519

Sagot :

The book value for year 4 according to the double-declining balance depreciation method is $118,519.

What is the double declining balance method?

A double-declining balance method is a type of accelerated depreciation method in which the asset value is depreciated twice as fast as the straight-line method.

Calculation of the depreciation at the end of the year 1 is :

Depreciation =  Cost of the equipment × 2/expected life

                     = $600,000*2/6

                    = $ 200,000

The book value at the end of the year 1 = $ 600,000 - $ 200,000

                                                                     = $ 400,000

Calculation of depreciation at the end of the year 2 is :

Depreciation = Book value at the end of year 1 × 2/expected life

                        = $400,000*2/6

                         = $ 133,333

The book value at the end of the year 2 = $ 400,000 - $133,333

                                                                     = $ 266,667

Calculation of depreciation at the end of the year 3 is :

Depreciation = Book value at the end of year 1 × 2/expected life

                        = $266,667*2/6

                         = $ 88,889

The book value at the end of the year 3= $266,667 - $ 88,889

                                                                     = $ 177,778

Calculation of depreciation at the end of the year 4 is :

Depreciation = Book value at the end of year 1 × 2/expected life

                        = $177,778*2/6

                         = $ 59,259

∴ The book value at the end of the year 4 = $ 177,778 - $ 59,259

                                                                     = $ 118,519

Therefore, $118,519 is the book value for year 4 according to the double declining balance depreciation method.

To learn more about, double declining balance method, click here:

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