Present Value of Future Sum given Total Number of Periods Solution

STEP 0: Pre-Calculation Summary
Formula Used
Present Value = Future Value/(1+Interest Rate)^Total Number of Periods
PV = FV/(1+IR)^t
This formula uses 4 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.
Interest Rate - Interest Rate is the amount charged, expressed as a percentage of the 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+IR)^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 0.005724 <-- Present Value
(Calculation completed in 00.004 seconds)

Credits

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19 Present value Calculators

Present Value of Deferred Annuity
Go Present Value of Deferred Annuity = Ordinary Annuity Payment*(1-(1+(Interest Rate*0.01))^-Number of Periods)/((1+(Interest Rate*0.01)^Deferred Periods*(Interest Rate*0.01)))
Present Value of Deferred Annuity based on Annuity Due
Go Present Value of Deferred Annuity = Annuity Payment Due*(1-(1+(Interest Rate*0.01))^-Number of Periods)/((1+(Interest Rate*0.01))^(Deferred Periods-1)*(Interest Rate*0.01))
Present Value of Growing Annuity
Go Present Value of Growing Annuity = (Initial Investment/(Rate per Period-Growth Rate))*(1-((1+Growth Rate)/(1+Rate per Period))^(Number of Periods))
Growing Annuity Payment using Present Value
Go Initial Payment = Present Value*((Rate per Period-Growth Rate)/(1-(((1+Growth Rate)/(1+Rate per Period))^Number of Periods)))
Annuity Due for Present Value
Go Annuity Due Present Value = Payment made in Each Period*((1-(1/(1+Rate per Period)^(Number of Periods)))/Rate per Period)*(1+Rate per Period)
Present Value of Future Sum given compounding periods
Go Present Value = Future Value/(1+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods)
Number of Periods using Present Value of Annuity
Go Total Number of Periods = ln((1-(Present Value of Annuity/Cashflow per Period))^-1)/ln(1+Rate per Period)
Present Value of Ordinary Annuities and Amortization
Go Present Value = Payment made in Each Period*((1-(1+Rate per Period)^(-Total Number of Times Compounded))/Rate per Period)
Present Value of Annuity with Continuous Compounding
Go Present Value of Annuity = Cashflow per Period*((1-e^(-Rate per Period*Number of Periods))/(e^Rate per Period-1))
Present Value of Annuity
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
Go Present Value = Future Value/exp(Rate of Return*Number of Periods)
Present Value for Continuous Compounding
Go Present Value with Continuous Compounding = Future Value/(e^(Rate per Period*Number of Periods))
Present Value Factor
Go Annuity Present Value Factor = (1-((1+Rate per Period)^(-Number of Periods)))/Rate per Period
Present Value of Lumpsum
Go Present Value of Lumpsum = Future Value/(1+Interest Rate per Period)^Number of Periods
Present Value of Stock with Constant Growth
Go Price of Stock = Estimated Dividends for Next Period/(Rate of Return-Growth Rate)
Present Value of Future Sum given Total Number of Periods
Go Present Value = Future Value/(1+Interest Rate)^Total Number of Periods
Present Value Continuous Compounding Factor
Go PV Continuous Compounding Factor = (e^(-Rate per Period*Total Number of Periods))
PV of Perpetuity
Go PV of Perpetuity = Dividend/Discount Rate
Present Value of Stock with Zero Growth
Go Price of Stock = Dividend/Rate of Return

Present Value of Future Sum given Total Number of Periods Formula

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

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

Present Value of Future Sum given Total Number of Periods calculator uses Present Value = Future Value/(1+Interest Rate)^Total Number of Periods to calculate the Present Value, Present Value of Future Sum given Total Number of Periods 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 is denoted by PV symbol.

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

FAQ

What is Present Value of Future Sum given Total Number of Periods?
Present Value of Future Sum given Total Number of Periods 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+IR)^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 the principal, by a lender to a borrower for the use of assets & Total Number of Periods is the total number of compounding periods for the life of the investment.
How to calculate Present Value of Future Sum given Total Number of Periods?
Present Value of Future Sum given Total Number of Periods 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 Future Sum given Total Number of Periods, you need Future Value (FV), Interest Rate (IR) & Total Number of Periods (t). With our tool, you need to enter the respective value for Future Value, Interest Rate & 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 & Total 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/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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