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46. Describe the following methods of depreciation: unit of production, hours of use.

Units of Production Depreciation Method, also known as Units of Activity and Units of Usage Method of Depreciation, calculates depreciation on the basis of expected output or usage.

For example, a machine may be depreciated on the basis of output produced during a period in proportion to its total expected production capacity. Therefore, useful life of an asset under Units of Production Method is stated in terms of production output or usage rather than years of service.

Depreciation per annum = (Cost - Residual Value) / Useful Life

The Formula for calculation of depreciation under Units of Production Method is as follows:

Stage of Completion %

=

Value of Work Certified as complete

x 100

Total Expected Production or Usage

Where:

Cost includes the initial and any subsequent capital expenditure.

Residual Value is the estimated scrap value at the end of the useful life of the asset. Since residual value is expected to be recovered at the end of an asset's useful life, there is no need to charge the portion of asset's cost equaling the residual value.

Time Depreciation (hours of use) Formulas

Similar to the activity depreciation, the time depreciation calculation results from 2 equations.  Depreciation per unit time and depreciation for a period based on total time the asset was used in that period.

  1. Depreciable Base = Asset Cost - Salvage Value

  2. Depreciation per Unit Time = Depreciable Base / Useful Time Units

  3. Depreciation for Period = Number of Time Units Used in a Period x Depreciation per Unit Time

47. Describe the following methods of depreciation: sum of-the-years digits. Sum of the Years' Digits Method of Depreciation

Sum of the years' digits method of depreciation is one of the accelerated depreciation techniques which are based on the assumption that assets are generally more productive when they are new and their productivity decreases as they become old. The formula to calculate depreciation under SYD method is:

SYD Depreciation =

Depreciable Base ×

Remaining Useful Life

Sum of the Years' Digits

In the above formula, depreciable base is the difference between cost and salvage value of the asset and sum of the years' digits is the sum of the series:

1, 2, 3, ... , n ; where n is the useful life of the asset in years.

Sum of the years' digits can be calculated more conveniently using the following formula:

Sum of the Years' Digits =

n(n+1)

2

Sum of the years' digits method can also be applied on monthly basis, in which case the above formula to calculate the sum of the years' digits becomes much useful.

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