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What is the pattern of plant asset utilization (or benefit) that corresponds to each of the following depreciation methods: (a) straight-line, (b) units- of-production, (c) double-declining balance?

Short Answer

Expert verified
(a) Straight-line: consistent benefit; (b) Units-of-production: variable benefit based on usage; (c) Double-declining balance: higher benefit in early years, decreasing over time.

Step by step solution

01

Identify the Problem

We need to identify the pattern of plant asset utilization or benefit for three depreciation methods: straight-line, units-of-production, and double-declining balance.
02

Explanation of Straight-Line Method

The straight-line method assumes that the benefit derived from the plant asset is consistent over time. Therefore, the depreciation expense is equal each year.
03

Explanation of Units-of-Production Method

The units-of-production method ties depreciation to the asset's usage. Therefore, the depreciation expense varies based on the asset's actual output or use, leading to a variable pattern of benefit.
04

Explanation of Double-Declining Balance Method

The double-declining balance method assumes that the asset provides more benefit in the earlier years. Hence, depreciation expense is higher in the initial years and decreases over time, following a decreasing pattern.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Straight-Line Method
The straight-line method of depreciation is a simple and widely used approach. This method assumes that a plant asset will provide consistent benefits over its useful life. As a result, the depreciation expense is fixed and equal each year. This creates a steady pattern, making it easy for businesses to predict and manage their finances. To calculate straight-line depreciation, the formula used is: \[ \text{Annual Depreciation Expense} = \frac{\text{Cost of Asset} - \text{Salvage Value}}{\text{Useful Life}} \]
This method is straightforward because businesses need to determine just three things: the initial cost of the asset, its estimated salvage value (the value at the end of its life), and its expected useful life. With these inputs, calculating depreciation becomes a simple, non-variable process.
One of the advantages of this method is that it aligns well with assets that wear out or lose value in a consistent way over time, such as office furniture or buildings. However, it may not accurately reflect the actual usage or benefit of assets that have varying performance over their lifespan.
Units-of-Production Method
The units-of-production method provides a more flexible approach to depreciation. This method directly ties the depreciation expense to how much the asset is used, reflecting its actual output or activity level. In other words, the more you use the asset, the more depreciation expense you will register.The formula for units-of-production depreciation is:\[ \text{Depreciation Expense} = \left(\frac{\text{Cost of Asset} - \text{Salvage Value}}{\text{Total Expected Units of Production}}\right) \times \text{Units Produced in Period} \]
This method is particularly useful for assets whose wear and tear directly correlate with usage, such as machinery, vehicles, or equipment that have measurable outputs. With this method, the depreciation expense can vary significantly from one period to the next, depending on how intensely the asset is used.
An advantage of this approach is that it provides a more accurate linkage between the asset's cost and its revenues, particularly in high-use periods. However, it requires detailed records of each asset's output, which may increase administrative demands.
Double-Declining Balance Method
The double-declining balance method is a type of accelerated depreciation method. It assumes assets provide more utility in the early years of their lifecycle. This is particularly true for technology-related assets that become less valuable as newer models come out. With this approach, the depreciation expense is highest during initial years and lessens over time.The formula for double-declining balance depreciation is:\[ \text{Depreciation Expense} = 2 \times \text{Straight-Line Rate} \times \text{Book Value at Beginning of Year} \]
To apply this method, you first calculate the straight-line rate, which is determined by dividing 1 by the asset's useful life. Then, you double this rate and apply it to the book value of the asset at the beginning of each year. It doesn't subtract salvage value when calculating initial depreciation, but this must be considered in later calculations to avoid going below salvage value.
This method front-loads the depreciation expense. It is ideal for assets that lose significant value early, like vehicles or electronics. While it provides a tax advantage due to higher early depreciation write-offs, it may not be suitable for all assets, especially if values don’t significantly decline quickly over time.

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