Fixed Percentage Factor using Matheson Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fixed Percentage Factor = 1-(Salvage Value of Asset at End of Service/Original Value of Assets at Start of Service)^(1/Service Life)
f = 1-(Vs/V)^(1/n)
This formula uses 4 Variables
Variables Used
Fixed Percentage Factor - Fixed Percentage Factor is a constant rate used in certain depreciation methods, such as the Matheson formula, to determine the annual depreciation expense for a tangible asset.
Salvage Value of Asset at End of Service - Salvage Value of Asset at End of Service Life refers to the amount that the asset is expected to be worth when it is retired or disposed of at the conclusion of its useful life.
Original Value of Assets at Start of Service - Original Value of Assets at Start of Service Life Period refers to the initial cost or acquisition cost of a tangible asset when it is first put into service.
Service Life - Service Life refers to the estimated period during which the asset is expected to provide economic benefits and be used for its intended purpose.
STEP 1: Convert Input(s) to Base Unit
Salvage Value of Asset at End of Service: 5000 --> No Conversion Required
Original Value of Assets at Start of Service: 50000 --> No Conversion Required
Service Life: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = 1-(Vs/V)^(1/n) --> 1-(5000/50000)^(1/10)
Evaluating ... ...
f = 0.205671765275719
STEP 3: Convert Result to Output's Unit
0.205671765275719 --> No Conversion Required
FINAL ANSWER
0.205671765275719 0.205672 <-- Fixed Percentage Factor
(Calculation completed in 00.004 seconds)

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Thadomal Shahani Engineering College (Tsec), Mumbai
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DJ Sanghvi College of Engineering (DJSCE), Mumbai
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8 Depreciation Calculators

Asset Value after 'a' Years
​ Go Asset Value = Original Value of Assets at Start of Service-(Original Value of Assets at Start of Service-Salvage Value of Asset at End of Service)*(((1+Annual Interest Rate)^(Number of Years in Actual Use)-1)/((1+Annual Interest Rate)^(Service Life)-1))
Replacement Value by Sinking Fund Method
​ Go Replacement Value = (Original Value of Assets at Start of Service-Asset Value)/((((1+Annual Interest Rate)^(Number of Years in Actual Use)-1)/((1+Annual Interest Rate)^(Service Life)-1)))
Depreciation by Sum of Year Digit Method
​ Go Depreciation = (2*(Service Life-Number of Years in Actual Use+1))/(Service Life*(Service Life+1))*(Original Value of Assets at Start of Service-Salvage Value of Asset at End of Service)
Fixed Percentage Factor using Matheson Formula
​ Go Fixed Percentage Factor = 1-(Salvage Value of Asset at End of Service/Original Value of Assets at Start of Service)^(1/Service Life)
Annual Depreciation by Straight-Line Method
​ Go Annual Depreciation per Year = (Original Value of Assets at Start of Service-Salvage Value of Asset at End of Service)/Service Life
Book Value of Process Equipment at any Time during Service Life
​ Go Asset Value = Original Value of Assets at Start of Service-Number of Years in Actual Use*Annual Depreciation per Year
Asset Value using Declining Balance Method
​ Go Asset Value = Original Value of Assets at Start of Service*(1-Fixed Percentage Factor)^Number of Years in Actual Use
Depletion Cost
​ Go Depletion Cost = Initial Cost*(Amount of Material Used/Original Amount of Material Purchased)

Fixed Percentage Factor using Matheson Formula Formula

Fixed Percentage Factor = 1-(Salvage Value of Asset at End of Service/Original Value of Assets at Start of Service)^(1/Service Life)
f = 1-(Vs/V)^(1/n)

What is Asset Value?

"Asset Value" refers to the monetary worth or value assigned to an asset, representing its cost or fair market value. It encompasses the original acquisition cost, additional investments, and any changes in value due to factors such as appreciation, depreciation, or market fluctuations. Asset value is a key consideration in financial reporting, investment analysis, and overall valuation of an entity's holdings.

What is Depreciation?

Depreciation is an accounting method that allocates the cost of a tangible asset over its estimated useful life. It reflects the reduction in the value of the asset over time due to factors such as wear and tear, obsolescence, or the passage of time. Depreciation allows businesses to match the expense of using an asset with the revenue it generates, providing a more accurate representation of an asset's true economic cost throughout its operational life. Common methods of calculating depreciation include straight-line depreciation, declining balance, and units-of-production.

How to Calculate Fixed Percentage Factor using Matheson Formula?

Fixed Percentage Factor using Matheson Formula calculator uses Fixed Percentage Factor = 1-(Salvage Value of Asset at End of Service/Original Value of Assets at Start of Service)^(1/Service Life) to calculate the Fixed Percentage Factor, Fixed Percentage Factor using Matheson Formula, is a constant percentage that represents the ratio of total depreciation over an asset's useful life to its original cost. Fixed Percentage Factor is denoted by f symbol.

How to calculate Fixed Percentage Factor using Matheson Formula using this online calculator? To use this online calculator for Fixed Percentage Factor using Matheson Formula, enter Salvage Value of Asset at End of Service (Vs), Original Value of Assets at Start of Service (V) & Service Life (n) and hit the calculate button. Here is how the Fixed Percentage Factor using Matheson Formula calculation can be explained with given input values -> 0.205672 = 1-(5000/50000)^(1/10).

FAQ

What is Fixed Percentage Factor using Matheson Formula?
Fixed Percentage Factor using Matheson Formula, is a constant percentage that represents the ratio of total depreciation over an asset's useful life to its original cost and is represented as f = 1-(Vs/V)^(1/n) or Fixed Percentage Factor = 1-(Salvage Value of Asset at End of Service/Original Value of Assets at Start of Service)^(1/Service Life). Salvage Value of Asset at End of Service Life refers to the amount that the asset is expected to be worth when it is retired or disposed of at the conclusion of its useful life, Original Value of Assets at Start of Service Life Period refers to the initial cost or acquisition cost of a tangible asset when it is first put into service & Service Life refers to the estimated period during which the asset is expected to provide economic benefits and be used for its intended purpose.
How to calculate Fixed Percentage Factor using Matheson Formula?
Fixed Percentage Factor using Matheson Formula, is a constant percentage that represents the ratio of total depreciation over an asset's useful life to its original cost is calculated using Fixed Percentage Factor = 1-(Salvage Value of Asset at End of Service/Original Value of Assets at Start of Service)^(1/Service Life). To calculate Fixed Percentage Factor using Matheson Formula, you need Salvage Value of Asset at End of Service (Vs), Original Value of Assets at Start of Service (V) & Service Life (n). With our tool, you need to enter the respective value for Salvage Value of Asset at End of Service, Original Value of Assets at Start of Service & Service Life and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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