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Asset Value after 'a' Years Formula

GoBook Value of Process Equipment at any Time during Service Life Formula

GoAsset Value using Declining Balance Method Formula

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Asset Value at the end of 'a' year refers to the estimated monetary worth or value of a tangible asset at the conclusion of a specific period, 'a' year, within its useful life. Check FAQs

V a = V - (V - V s) \cdot (\frac{{(1 + i)}^{a} - 1}{{(1 + i)}^{n} - 1})

V_a - Asset Value?V - Original Value of Assets at Start of Service?V_s - Salvage Value of Asset at End of Service?i - Annual Interest Rate?a - Number of Years in Actual Use?n - Service Life?

Asset Value after 'a' Years Example

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Here is how the Asset Value after 'a' Years equation looks like with Values.

Here is how the Asset Value after 'a' Years equation looks like with Units.

Here is how the Asset Value after 'a' Years equation looks like.

49999.9455 = 50000 - (50000 - 5000) \cdot (\frac{{(1 + 6)}^{3} - 1}{{(1 + 6)}^{10} - 1})

49999.9455 = 50000 - (50000 - 5000) \cdot (\frac{{(1 + 6)}^{3} - 1}{{(1 + 6)}^{10} - 1})

49999.9455 = 50000 - (50000 - 5000) \cdot (\frac{{(1 + 6)}^{3} - 1}{{(1 + 6)}^{10} - 1})

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Asset Value after 'a' Years Solution

Follow our step by step solution on how to calculate Asset Value after 'a' Years?

FIRST Step Consider the formula

V a = V - (V - V s) \cdot (\frac{{(1 + i)}^{a} - 1}{{(1 + i)}^{n} - 1})

Next Step Substitute values of Variables

∴

V a = 50000 - (50000 - 5000) \cdot (\frac{{(1 + 6)}^{3} - 1}{{(1 + 6)}^{10} - 1})

Next Step Prepare to Evaluate

∴

V a = 50000 - (50000 - 5000) \cdot (\frac{{(1 + 6)}^{3} - 1}{{(1 + 6)}^{10} - 1})

Next Step Evaluate

∴

V a = 49999.9455173503

LAST Step Rounding Answer

∴

V a = 49999.9455

Asset Value after 'a' Years Formula Elements

Variables

Asset Value

Asset Value at the end of 'a' year refers to the estimated monetary worth or value of a tangible asset at the conclusion of a specific period, 'a' year, within its useful life.

Symbol: V_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Asset Value

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.

Symbol: V

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Original Value of Assets at Start of Service

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.

Symbol: V_s

Measurement: NAUnit: Unitless

Note: Value should be greater than -1E-07.

Formulas to find Salvage Value of Asset at End of Service

Annual Interest Rate

Annual Interest Rate is the amount charged, expressed as a percentage of principal, by a lender to a borrower for the use of assets on annual basis.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Annual Interest Rate

Number of Years in Actual Use

Number of Years in Actual Use refers to the period of time during which a particular asset has been actively employed or utilized for its intended purpose in a business or operational context.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Years in Actual Use

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.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Service Life

Other Formulas to find Asset Value

Go Book Value of Process Equipment at any Time during Service Life

V a = V - a \cdot d

Go Asset Value using Declining Balance Method

V a = V \cdot {(1 - f)}^{a}

Other formulas in Depreciation category

Go Depletion Cost

D = I \cdot (\frac{U}{P})

Go Annual Depreciation by Straight-Line Method

d = \frac{V - V s}{n}

Go Fixed Percentage Factor using Matheson Formula

f = 1 - {(\frac{V s}{V})}^{\frac{1}{n}}

Go Depreciation by Sum of Year Digit Method

d a = \frac{2 \cdot (n - a + 1)}{n \cdot (n + 1)} \cdot (V - V s)

How to Evaluate Asset Value after 'a' Years?

Asset Value after 'a' Years evaluator uses 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)) to evaluate the Asset Value, Asset Value after 'a' Years calculates the estimated monetary worth of a tangible asset at the end of a specific period, denoted by 'a' years, within its useful life. Asset Value is denoted by V_a symbol.

How to evaluate Asset Value after 'a' Years using this online evaluator? To use this online evaluator for Asset Value after 'a' Years, enter Original Value of Assets at Start of Service (V), Salvage Value of Asset at End of Service (V_s), Annual Interest Rate (i), Number of Years in Actual Use (a) & Service Life (n) and hit the calculate button.

FAQs on Asset Value after 'a' Years

What is the formula to find Asset Value after 'a' Years?

The formula of Asset Value after 'a' Years is expressed as 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)). Here is an example- 49999.95 = 50000-(50000-5000)*(((1+6)^(3)-1)/((1+6)^(10)-1)).

How to calculate Asset Value after 'a' Years?

With Original Value of Assets at Start of Service (V), Salvage Value of Asset at End of Service (V_s), Annual Interest Rate (i), Number of Years in Actual Use (a) & Service Life (n) we can find Asset Value after 'a' Years using the formula - 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)).

What are the other ways to Calculate Asset Value?

Here are the different ways to Calculate Asset Value-

Asset Value=Original Value of Assets at Start of Service-Number of Years in Actual Use*Annual Depreciation per Year
Asset Value=Original Value of Assets at Start of Service*(1-Fixed Percentage Factor)^Number of Years in Actual Use

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: Value
: Unit

Asset Value after 'a' Years Formula

​GoBook Value of Process Equipment at any Time during Service Life Formula

​GoAsset Value using Declining Balance Method Formula

Asset Value after 'a' Years Example

Asset Value after 'a' Years Solution

Asset Value after 'a' Years Formula Elements

Other Formulas to find Asset Value

Other formulas in Depreciation category

How to Evaluate Asset Value after 'a' Years?

FAQs on Asset Value after 'a' Years

Variable Name

GoBook Value of Process Equipment at any Time during Service Life Formula

GoAsset Value using Declining Balance Method Formula