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## Present Value of a Future Sum when compounding periods are given 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/n))^(n*n)
This formula uses 4 Variables
Variables Used
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 --> No Conversion Required
Compounding Periods: 10 --> No Conversion Required
Number of Periods: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PV = FV/(1+(RoR/n))^(n*n) --> 33000/(1+(4/10))^(10*1)
Evaluating ... ...
PV = 1140.86323010906
STEP 3: Convert Result to Output's Unit
1140.86323010906 --> No Conversion Required
FINAL ANSWER
1140.86323010906 <-- Present Value
(Calculation completed in 00.016 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Monthly Payment
monthly_payment = (Loan Amount*Interest Rate*(1+Interest Rate)^Compounding Periods)/((1+Interest Rate)^Compounding Periods)-1 Go
Net Present Value (NPV) for even cash flow
net_present_value = Expected Cash Flow*((1-(1+Rate of Return)^-Number of Periods)/Rate of Return)-Initial Investment Go
Future Value of a Present Sum when Compounding Periods are given
future_value = Present Value*(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods) Go
Future Value of Annuity
future_value_of_annuity = (Monthly Payment/Interest Rate)*((1+Interest Rate)^Number of Periods-1) Go
Annuity Payment
annuity_payment = (Rate per Period*Present Value)/(1-(1+Rate per Period)^-Number of Periods) Go
Loan Amount
loan_amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding Periods)) Go
Annual Percentage Yield
annual_percentage_yield = (1+(Stated annual interest rate/Compounding Periods))^Compounding Periods-1 Go
Nominal Interest Rate
nominal_interest_rate = Compounding Periods*((1+Effective Interest Rate)^(1/Compounding Periods)-1) Go
Future Value of a Present Sum when the number of periods is given
future_value = Present Value*exp(Rate of Return*Number of Periods) Go
Present Value of a Future Sum when number of periods is given
present_value = Future Value/exp(Rate of Return*Number of Periods) Go
Present Value of a Future Sum when total number of periods is given
present_value = Future Value/(1+Interest Rate)^Total Number of Periods Go

## < 2 Other formulas that calculate the same Output

Present Value of a Future Sum when number of periods is given
present_value = Future Value/exp(Rate of Return*Number of Periods) Go
Present Value of a Future Sum when total number of periods is given
present_value = Future Value/(1+Interest Rate)^Total Number of Periods Go

### Present Value of a Future Sum when compounding periods are given Formula

present_value = Future Value/(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods)
PV = FV/(1+(RoR/n))^(n*n)

## How to Calculate Present Value of a Future Sum when compounding periods are given?

Present Value of a Future Sum when compounding periods are given 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 a Future Sum when compounding periods are given 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 and is denoted by PV symbol.

How to calculate Present Value of a Future Sum when compounding periods are given using this online calculator? To use this online calculator for Present Value of a Future Sum when compounding periods are given, enter Future Value (FV), Rate of Return (RoR), Compounding Periods (n) and Number of Periods (n) and hit the calculate button. Here is how the Present Value of a Future Sum when compounding periods are given calculation can be explained with given input values -> 1140.863 = 33000/(1+(4/10))^(10*1).

### FAQ

What is Present Value of a Future Sum when compounding periods are given?
Present Value of a Future Sum when compounding periods are given 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/n))^(n*n) 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 and 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 a Future Sum when compounding periods are given?
Present Value of a Future Sum when compounding periods are given 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 a Future Sum when compounding periods are given, you need Future Value (FV), Rate of Return (RoR), Compounding Periods (n) and Number of Periods (n). With our tool, you need to enter the respective value for Future Value, Rate of Return, Compounding Periods and 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 and Number of Periods. We can use 2 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) Let Others Know
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