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Future Value of Present Sum given Compounding Periods Calculator

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Future value Basics of Time Value of Money 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.ⓘ Present Value [PV]			+10% -10%
✖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.ⓘ Rate of Return [%RoR]			+10% -10%
✖Compounding Periods is the number of times compounding will occur during a period.ⓘ Compounding Periods [C_n]			+10% -10%
✖The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.ⓘ Number of Periods [n_Periods]			+10% -10%

✖Future Value is the calculated future value of any investment.ⓘ Future Value of Present Sum given Compounding Periods [FV]

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Future Value of Present Sum given Compounding Periods Solution

STEP 0: Pre-Calculation Summary

Formula Used

Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods)
FV = PV*(1+((%RoR*0.01)/C_n))^(C_n*n_Periods)
This formula uses 5 Variables

Variables Used

Future Value - Future Value is the calculated future value of any investment.
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.
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.
Compounding Periods - Compounding Periods is the number of times compounding will occur during a period.
Number of Periods - The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.

STEP 1: Convert Input(s) to Base Unit

Present Value: 100 --> No Conversion Required
Rate of Return: 4.5 --> No Conversion Required
Compounding Periods: 11 --> No Conversion Required
Number of Periods: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

FV = PV*(1+((%RoR*0.01)/C_n))^(C_n*n_Periods) --> 100*(1+((4.5*0.01)/11))^(11*2)

Evaluating ... ...

FV = 109.397342227313

STEP 3: Convert Result to Output's Unit

109.397342227313 --> No Conversion Required

FINAL ANSWER

109.397342227313 ≈ 109.3973 <-- Future Value

(Calculation completed in 00.004 seconds)

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< Future value Calculators

Future Value of Present Sum given Compounding Periods

LaTeX Go Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods)

Future Value of Annuity

LaTeX Go Future Value of Annuity = (Monthly Payment/(Interest Rate*0.01))*((1+(Interest Rate*0.01))^Number of Periods-1)

Future Value of Present Sum given Number of Periods

LaTeX Go Future Value = Present Value*exp(Rate of Return*Number of Periods*0.01)

Future Value of Present Sum given Total Number of Periods

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

Future Value of Present Sum given Compounding Periods Formula

LaTeX Go

Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods)
FV = PV*(1+((%RoR*0.01)/C_n))^(C_n*n_Periods)

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

Future Value of Present Sum given Compounding Periods calculator uses Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods) to calculate 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 calculate Future Value of Present Sum given Compounding Periods using this online calculator? To use this online calculator 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. Here is how the Future Value of Present Sum given Compounding Periods calculation can be explained with given input values -> 109.3973 = 100*(1+((4.5*0.01)/11))^(11*2).

FAQ

What is Future Value of Present Sum given Compounding Periods?

Future Value of Present Sum given Compounding Periods is the calculated future value of any investment when the compounding periods are provided and is represented as FV = PV*(1+((%RoR*0.01)/C_n))^(C_n*n_Periods) or Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods). The Present Value of the annuity is the value that determines the value of a series of future periodic payments at a given time, 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, Compounding Periods is the number of times compounding will occur during a period & The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.

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

Future Value of Present Sum given Compounding Periods is the calculated future value of any investment when the compounding periods are provided is calculated using Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods). To calculate Future Value of Present Sum given Compounding Periods, you need Present Value (PV), Rate of Return (%RoR), Compounding Periods (C_n) & Number of Periods (n_Periods). With our tool, you need to enter the respective value for Present Value, Rate of Return, Compounding Periods & Number of Periods and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Future Value?

In this formula, Future Value uses Present Value, Rate of Return, Compounding Periods & Number of Periods. We can use 2 other way(s) to calculate the same, which is/are as follows -

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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