Grace Groceries purchased store equipment for $42,000. Grace estimates that at the end of its 10-year service life, the equipment will be worth $2,000. During the 10-year period, the company expects to use the equipment for a total of 10,000 hours. Grace used the equipment for 1,500 hours the first year.
Required:
Calculate depreciation expense of the equipment for the first year, using each of the following methods. Round all amounts to the nearest dollar.
1.Straight-line.
2.Double-declining-balance.
3.Activity-based.
Depreciation is a crucial concept in accounting that allows businesses to allocate the cost of a long-term asset over its useful life. In this essay, we will delve into the calculation of the depreciation expense for the first year of Grace Groceries’ equipment, utilizing three distinct methods: Straight-line, Double-declining-balance, and Activity-based. Each method has its own approach, and understanding their implications can assist businesses in making informed financial decisions.
Straight-Line Method: The straight-line method is a straightforward and commonly used technique for calculating depreciation. It allocates an equal amount of depreciation expense over the asset’s useful life. To compute the depreciation expense using this method, we need the initial cost, estimated residual value, and expected service life of the equipment.
Given: Initial Cost: $42,000 Residual Value: $2,000 Service Life: 10 years
Calculation: Depreciation Expense = (Initial Cost – Residual Value) / Service Life Depreciation Expense = ($42,000 – $2,000) / 10 = $4,000
Calculation: Depreciation Rate = 2 * (100% / Service Life) = 2 * (100% / 10) = 20%
Year 1 Calculation: Depreciation Expense = Carrying Value at the Beginning of the Year * Depreciation Rate Carrying Value at the Beginning of Year 1 = Initial Cost = $42,000 Depreciation Expense = $42,000 * 20% = $8,400
The activity-based depreciation method takes into account the actual usage of the equipment over its useful life. It allocates depreciation based on the total expected usage hours. This method is ideal when an asset’s wear and tear are directly related to its usage.
Given: Total Expected Usage Hours: 10,000 hours Usage in Year 1: 1,500 hours
Depreciation Expense per Hour = (Initial Cost – Residual Value) / Total Expected Usage Hours Depreciation Expense for Year 1 = Depreciation Expense per Hour * Usage in Year 1 Depreciation Expense per Hour = ($42,000 – $2,000) / 10,000 = $4 per hour Depreciation Expense for Year 1 = $4 * 1,500 = $6,000
In conclusion, the calculation of equipment depreciation is a critical aspect of financial management for businesses like Grace Groceries. By utilizing various methods such as straight-line, double-declining-balance, and activity-based, businesses can accurately allocate the cost of assets while considering their specific characteristics and usage patterns. Each method offers its own benefits, and the choice of method should align with the company’s financial goals and reporting requirements. Understanding these methods empowers businesses to make informed decisions regarding asset management and financial planning.
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