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Present Value of Future Sum given compounding periods Calculator

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Present Value Basics of Time Value of Money Future value

✖Future Value is the calculated future value of any investment.ⓘ Future Value [FV]			+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%

✖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 of Future Sum given compounding periods [PV]

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Present Value of Future Sum given compounding periods Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Future Value - Future Value is the calculated future value of any investment.
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

Future Value: 33000 --> 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

PV = FV/(1+(%RoR/C_n))^(C_n*n_Periods) --> 33000/(1+(4.5/11))^(11*2)

Evaluating ... ...

PV = 17.4524199070997

STEP 3: Convert Result to Output's Unit

17.4524199070997 --> No Conversion Required

FINAL ANSWER

17.4524199070997 ≈ 17.45242 <-- Present Value

(Calculation completed in 00.004 seconds)

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< Present Value Calculators

Present Value of Future Sum given compounding periods

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

Present Value of Annuity

LaTeX Go Present Value of Annuity = (Monthly Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Number of Months))

Present Value of Future Sum given Number of Periods

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

Present Value of Future Sum given Total Number of Periods

LaTeX Go Present Value = Future Value/(1+Interest Rate)^Total Number of Periods

Present Value of Future Sum given compounding periods Formula

LaTeX Go

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

How to Calculate Present Value of Future Sum given compounding periods?

Present Value of Future Sum given compounding periods calculator uses Present Value = Future Value/(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods) to calculate the Present Value, Present Value of Future Sum given compounding periods is the value that determines the value of a series of future periodic payments at a given time when the compounding periods are provided. Present Value is denoted by PV symbol.

How to calculate Present Value of Future Sum given compounding periods using this online calculator? To use this online calculator for Present Value of Future Sum given compounding periods, enter Future Value (FV), Rate of Return (%RoR), Compounding Periods (C_n) & Number of Periods (n_Periods) and hit the calculate button. Here is how the Present Value of Future Sum given compounding periods calculation can be explained with given input values -> 35.9042 = 33000/(1+(4.5/11))^(11*2).

FAQ

What is Present Value of Future Sum given compounding periods?

Present Value of Future Sum given compounding periods is the value that determines the value of a series of future periodic payments at a given time when the compounding periods are provided and is represented as PV = FV/(1+(%RoR/C_n))^(C_n*n_Periods) or Present Value = Future Value/(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods). Future Value is the calculated future value of any investment, 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 Present Value of Future Sum given compounding periods?

Present Value of Future Sum given compounding periods is the value that determines the value of a series of future periodic payments at a given time when the compounding periods are provided is calculated using Present Value = Future Value/(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods). To calculate Present Value of Future Sum given compounding periods, you need Future Value (FV), Rate of Return (%RoR), Compounding Periods (C_n) & Number of Periods (n_Periods). With our tool, you need to enter the respective value for Future 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 Present Value?

In this formula, Present Value uses Future Value, Rate of Return, Compounding Periods & Number of Periods. We can use 3 other way(s) to calculate the same, which is/are as follows -

Present Value = Future Value/(1+Interest Rate)^Total Number of Periods
Present Value = Future Value/exp(Rate of Return*Number of Periods)
Present Value = Payment made in Each Period*((1-(1+Rate per Period)^(-Total Number of Times Compounded))/Rate per Period)

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