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Present Value of a Future Sum when total number of periods is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
present_value = Future Value/(1+Interest Rate)^Total Number of Periods
PV = FV/(1+i)^t
This formula uses 3 Variables
Variables Used
Future Value- Future Value is the calculated future value of any investment.
Interest Rate- Interest rate is the amount charged, expressed as a percentage of principal, by a lender to a borrower for the use of assets.
Total Number of Periods- Total Number of Periods is the total number of compounding periods for the life of the investment.
STEP 1: Convert Input(s) to Base Unit
Future Value: 33000 --> No Conversion Required
Interest Rate: 6 --> No Conversion Required
Total Number of Periods: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PV = FV/(1+i)^t --> 33000/(1+6)^8
Evaluating ... ...
PV = 0.0057243953433952
STEP 3: Convert Result to Output's Unit
0.0057243953433952 --> No Conversion Required
FINAL ANSWER
0.0057243953433952 <-- Present Value
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Number of Months
number_of_months = log10((Monthly Payment/Interest Rate)/((Monthly Payment/Interest Rate)-Loan Amount))/log10(1+Interest Rate) Go
EMI
equated_monthly_installment = Loan Amount*Interest Rate*((1+Interest Rate)^Compounding Periods/((1+Interest Rate)^Compounding Periods-1)) Go
Monthly Mortgage Payment
monthly_payment = (Mortgage Amount*Interest Rate*(1+Interest Rate)^Compounding Periods)/((1+Interest Rate)^Compounding Periods-1) Go
Monthly Payment
monthly_payment = (Loan Amount*Interest Rate*(1+Interest Rate)^Compounding Periods)/((1+Interest Rate)^Compounding Periods)-1 Go
Monthly Payment of Car Loan
monthly_payment_of_car_loan = (Interest Rate+Interest Rate/((1+Interest Rate)^Months-1))*Principal Car Loan Amount Go
Present Value of a Future Sum when compounding periods are given
present_value = Future Value/(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods) Go
Present Value of Annuity
present_value_of_annuity = (Monthly Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Number of Months)) Go
Future Value of Annuity
future_value_of_annuity = (Monthly Payment/Interest Rate)*((1+Interest Rate)^Number of Periods-1) Go
Loan Amount
loan_amount = (Annuity Payment/Interest Rate)*(1-(1/(1+Interest Rate)^Compounding 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
Future Value of a Present Sum when the total number of periods is given
future_value = Present Value*(1+Interest Rate)^Total Number of Periods Go

2 Other formulas that calculate the same Output

Present Value of a Future Sum when compounding periods are given
present_value = Future Value/(1+(Rate of Return/Compounding Periods))^(Compounding Periods*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 Formula

present_value = Future Value/(1+Interest Rate)^Total Number of Periods
PV = FV/(1+i)^t

How to Calculate Present Value of a Future Sum when total number of periods is given?

Present Value of a Future Sum when total number of periods is given calculator uses present_value = Future Value/(1+Interest Rate)^Total Number of Periods to calculate the Present Value, Present Value of a Future Sum when total number of periods is given is the value that determines the value of a series of future periodic payments at a given time when the total number of periods is provided. Present Value and is denoted by PV symbol.

How to calculate Present Value of a Future Sum when total number of periods is given using this online calculator? To use this online calculator for Present Value of a Future Sum when total number of periods is given, enter Future Value (FV), Interest Rate (i) and Total Number of Periods (t) and hit the calculate button. Here is how the Present Value of a Future Sum when total number of periods is given calculation can be explained with given input values -> 0.005724 = 33000/(1+6)^8.

FAQ

What is Present Value of a Future Sum when total number of periods is given?
Present Value of a Future Sum when total number of periods is given is the value that determines the value of a series of future periodic payments at a given time when the total number of periods is provided and is represented as PV = FV/(1+i)^t or present_value = Future Value/(1+Interest Rate)^Total Number of Periods. Future Value is the calculated future value of any investment, Interest rate is the amount charged, expressed as a percentage of principal, by a lender to a borrower for the use of assets and Total Number of Periods is the total number of compounding periods for the life of the investment.
How to calculate Present Value of a Future Sum when total number of periods is given?
Present Value of a Future Sum when total number of periods is given is the value that determines the value of a series of future periodic payments at a given time when the total number of periods is provided is calculated using present_value = Future Value/(1+Interest Rate)^Total Number of Periods. To calculate Present Value of a Future Sum when total number of periods is given, you need Future Value (FV), Interest Rate (i) and Total Number of Periods (t). With our tool, you need to enter the respective value for Future Value, Interest Rate and Total 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, Interest Rate and Total Number of Periods. We can use 2 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/exp(Rate of Return*Number of Periods)
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