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Present Value of Future Sum given Number of 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%
✖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 Number of Periods [PV]

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Present Value of Future Sum given Number of Periods Solution

STEP 0: Pre-Calculation Summary

Formula Used

Present Value = Future Value/exp(Rate of Return*Number of Periods)
PV = FV/exp(%RoR*n_Periods)
This formula uses 1 Functions, 4 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

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.
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
Number of Periods: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PV = FV/exp(%RoR*n_Periods) --> 33000/exp(4.5*2)

Evaluating ... ...

PV = 4.07252353486042

STEP 3: Convert Result to Output's Unit

4.07252353486042 --> No Conversion Required

FINAL ANSWER

4.07252353486042 ≈ 4.072524 <-- Present Value

(Calculation completed in 00.020 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 Number of Periods Formula

LaTeX Go

Present Value = Future Value/exp(Rate of Return*Number of Periods)
PV = FV/exp(%RoR*n_Periods)

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

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

How to calculate Present Value of Future Sum given Number of Periods using this online calculator? To use this online calculator for Present Value of Future Sum given Number of Periods, enter Future Value (FV), Rate of Return (%RoR) & Number of Periods (n_Periods) and hit the calculate button. Here is how the Present Value of Future Sum given Number of Periods calculation can be explained with given input values -> 11.07027 = 33000/exp(4.5*2).

FAQ

What is Present Value of Future Sum given Number of Periods?

Present Value of Future Sum given Number of Periods is the value that determines the value of a series of future periodic payments at a given time when the number of periods is provided and is represented as PV = FV/exp(%RoR*n_Periods) or Present Value = Future Value/exp(Rate of Return*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 & 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 Number of Periods?

Present Value of Future Sum given Number of Periods is the value that determines the value of a series of future periodic payments at a given time when the number of periods is provided is calculated using Present Value = Future Value/exp(Rate of Return*Number of Periods). To calculate Present Value of Future Sum given Number of Periods, you need Future Value (FV), Rate of Return (%RoR) & Number of Periods (n_Periods). With our tool, you need to enter the respective value for Future Value, Rate of Return & 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 & Number of Periods. We can use 3 other way(s) to calculate the same, which is/are as follows -

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