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On January 1, Speedy Delivery Company purchases a delivery van for $40,800. Speedy estimates that at the end of its four-year service life, the van will be worth $5,600. During the four-year period, the company expects to drive the van 176,000 miles. Actual miles driven each year were 45,000 miles in year 1 and 50,000 miles in year 2.Required:Calculate annual depreciation for the first two years using each of the following methods.

Question

On January 1, Speedy Delivery Company purchases a delivery van for 40,800.Speedyestimatesthatattheendofitsfouryearservicelife,thevanwillbeworth40,800. Speedy estimates that at the end of its four-year service life, the van will be worth 5,600. During the four-year period, the company expects to drive the van 176,000 miles. Actual miles driven each year were 45,000 miles in year 1 and 50,000 miles in year 2.Required:Calculate annual depreciation for the first two years using each of the following methods.

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Solution

The two most common methods for calculating depreciation are the straight-line method and the units-of-production method.

  1. Straight-Line Method:

The straight-line method calculates depreciation by subtracting the residual value from the cost of the asset and then dividing by the useful life of the asset.

Depreciation Expense = (Cost of Asset - Residual Value) / Useful Life

For the first two years, the calculation would be:

Depreciation Expense = (40,80040,800 - 5,600) / 4 = $8,800 per year

So, the annual depreciation for the first two years using the straight-line method is $8,800 each year.

  1. Units-of-Production Method:

The units-of-production method calculates depreciation based on the actual usage of the asset. In this case, the usage is measured in miles driven.

Depreciation Expense = (Cost of Asset - Residual Value) / Total Estimated Miles * Actual Miles Driven

For the first year, the calculation would be:

Depreciation Expense = (40,80040,800 - 5,600) / 176,000 miles * 45,000 miles = $9,000

For the second year, the calculation would be:

Depreciation Expense = (40,80040,800 - 5,600) / 176,000 miles * 50,000 miles = $10,000

So, the annual depreciation for the first year using the units-of-production method is 9,000andforthesecondyearis9,000 and for the second year is 10,000.

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