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Future Value of Present Sum given Compounding Periods Formula

GoFuture Value of Present Sum given Total Number of Periods Formula

GoFuture Value of Present Sum given Number of Periods Formula

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Future Value is the calculated future value of any investment. Check FAQs

FV = PV \cdot {(1 + (\frac{%RoR \cdot 0.01}{C n}))}^{C n \cdot n Periods}

FV - Future Value?PV - Present Value?%RoR - Rate of Return?C_n - Compounding Periods?n_Periods - Number of Periods?

Future Value of Present Sum given Compounding Periods Example

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Here is how the Future Value of Present Sum given Compounding Periods equation looks like with Values.

Here is how the Future Value of Present Sum given Compounding Periods equation looks like with Units.

Here is how the Future Value of Present Sum given Compounding Periods equation looks like.

109.3973 = 100 \cdot {(1 + (\frac{4.5 \cdot 0.01}{11}))}^{11 \cdot 2}

109.3973 = 100 \cdot {(1 + (\frac{4.5 \cdot 0.01}{11}))}^{11 \cdot 2}

109.3973 = 100 \cdot {(1 + (\frac{4.5 \cdot 0.01}{11}))}^{11 \cdot 2}

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Future Value of Present Sum given Compounding Periods Solution

Follow our step by step solution on how to calculate Future Value of Present Sum given Compounding Periods?

FIRST Step Consider the formula

FV = PV \cdot {(1 + (\frac{%RoR \cdot 0.01}{C n}))}^{C n \cdot n Periods}

Next Step Substitute values of Variables

∴

FV = 100 \cdot {(1 + (\frac{4.5 \cdot 0.01}{11}))}^{11 \cdot 2}

Next Step Prepare to Evaluate

∴

FV = 100 \cdot {(1 + (\frac{4.5 \cdot 0.01}{11}))}^{11 \cdot 2}

Next Step Evaluate

∴

FV = 109.397342227313

LAST Step Rounding Answer

∴

FV = 109.3973

Future Value of Present Sum given Compounding Periods Formula Elements

Variables

Future Value

Future Value is the calculated future value of any investment.

Symbol: FV

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Future Value

Present Value

The Present Value of the annuity is the value that determines the value of a series of future periodic payments at a given time.

Symbol: PV

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Present Value

Rate of Return

A Rate of Return is the gain or loss on an investment over a specified time period, expressed as a percentage of the investment’s cost.

Symbol: %RoR

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rate of Return

Compounding Periods

Compounding Periods is the number of times compounding will occur during a period.

Symbol: C_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Compounding Periods

Number of Periods

The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.

Symbol: n_Periods

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Periods

Other Formulas to find Future Value

Go Future Value of Present Sum given Total Number of Periods

FV = PV \cdot {(1 + (%RoR \cdot 0.01))}^{n Periods}

Go Future Value of Present Sum given Number of Periods

FV = PV \cdot \exp (%RoR \cdot n Periods \cdot 0.01)

Other formulas in Future value category

Go Future Value of Annuity

FV A = (\frac{p}{IR \cdot 0.01}) \cdot ({(1 + (IR \cdot 0.01))}^{n Periods} - 1)

Go Future Value of Lumpsum

FV L = PV \cdot {(1 + IR P)}^{n Periods}

Go Future Value of Growing Annuity

FV GA = II \cdot \frac{{(1 + r)}^{n Periods} - {(1 + g)}^{n Periods}}{r - g}

Go Future Value with Continuous Compounding

FV CC = PV \cdot (e^{%RoR \cdot n cp \cdot 0.01})

How to Evaluate Future Value of Present Sum given Compounding Periods?

Future Value of Present Sum given Compounding Periods evaluator uses Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods) to evaluate the Future Value, Future Value of Present Sum given Compounding Periods is the calculated future value of any investment when the compounding periods are provided. Future Value is denoted by FV symbol.

How to evaluate Future Value of Present Sum given Compounding Periods using this online evaluator? To use this online evaluator for Future Value of Present Sum given Compounding Periods, enter Present Value (PV), Rate of Return (%RoR), Compounding Periods (C_n) & Number of Periods (n_Periods) and hit the calculate button.

FAQs on Future Value of Present Sum given Compounding Periods

What is the formula to find Future Value of Present Sum given Compounding Periods?

The formula of Future Value of Present Sum given Compounding Periods is expressed as Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods). Here is an example- 109.3973 = 100*(1+((4.5*0.01)/11))^(11*2).

How to calculate Future Value of Present Sum given Compounding Periods?

With Present Value (PV), Rate of Return (%RoR), Compounding Periods (C_n) & Number of Periods (n_Periods) we can find Future Value of Present Sum given Compounding Periods using the formula - Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods).

What are the other ways to Calculate Future Value?

Here are the different ways to Calculate Future Value-

Future Value=Present Value*(1+(Rate of Return*0.01))^Number of Periods
Future Value=Present Value*exp(Rate of Return*Number of Periods*0.01)

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: Value
: Unit

Future Value of Present Sum given Compounding Periods Formula

​GoFuture Value of Present Sum given Total Number of Periods Formula

​GoFuture Value of Present Sum given Number of Periods Formula

Future Value of Present Sum given Compounding Periods Example

Future Value of Present Sum given Compounding Periods Solution

Future Value of Present Sum given Compounding Periods Formula Elements

Other Formulas to find Future Value

Other formulas in Future value category

How to Evaluate Future Value of Present Sum given Compounding Periods?

FAQs on Future Value of Present Sum given Compounding Periods

Variable Name

GoFuture Value of Present Sum given Total Number of Periods Formula

GoFuture Value of Present Sum given Number of Periods Formula