Patterson Company Vehicle Depreciation Calculation

1994 Depreciation Expense using SYD Method

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Question

Patterson Company has the following information of one of its vehicles purchased on January 1, 1992:

Vehicle cost $50,000 -

Useful life, years, estimated 5 -

Useful life, miles, estimated 100,000

Salvage value, estimated $10,000

Actual miles driven:

1992 30,000

1993 10,000

1994 15,000

1995 25,000

1996 12,000

No estimates were changed during the life of the asset. The 1994 depreciation expense using the sum-of-years'-digits (SYD) method was ________.

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Explanations

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A. B. C. D. E.

B

SYD depreciation is calculated on a constant depreciable base equal to $40,000 ($50,000 original cost -10,000 salvage value), multiplied by the SYD fraction. The denominator is the sum of the digits of the total years of the expected useful life (1+2+3+4+5=15). The SYD fraction's numerator equals the remaining years. For

1994, the fraction is 3/15, and depreciation expense is $8,000 ($40,000 X 3/15).