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

STEP 0: Pre-Calculation Summary
Formula Used
present_value = Future Value/exp(Rate of Return*Number of Periods)
PV = FV/exp(RoR*n)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, exp(Number)
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.
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
Number of Periods: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PV = FV/exp(RoR*n) --> 33000/exp(4*1)
Evaluating ... ...
PV = 604.416083328228
STEP 3: Convert Result to Output's Unit
604.416083328228 --> No Conversion Required
FINAL ANSWER
604.416083328228 <-- Present Value
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Compound Interest
future_value_of_investment = Principal Investment Amount*(1+(Annual Interest Rate/Number of Periods))^(Number of Periods*Number of Years the Money is Invested) 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
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
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
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 Stock With Constant Growth
price_of_stock = Estimated Dividends for Next Period/(Rate of Return-Growth Rate) 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
Doubling Time
doubling_time = log10(2)/log10(1+Rate of Return) Go
Doubling Time (Continuous Compounding)
doubling_time_(continuous_compounding) = ln(2)/Rate of Return 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 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 number of periods is given Formula

present_value = Future Value/exp(Rate of Return*Number of Periods)
PV = FV/exp(RoR*n)

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

Present Value of a Future Sum when number of periods is given calculator uses present_value = Future Value/exp(Rate of Return*Number of Periods) to calculate the Present Value, Present Value of a Future Sum when 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 number of periods is provided. Present Value and is denoted by PV symbol.

How to calculate Present Value of a Future Sum when number of periods is given using this online calculator? To use this online calculator for Present Value of a Future Sum when number of periods is given, enter Future Value (FV), Rate of Return (RoR) and Number of Periods (n) and hit the calculate button. Here is how the Present Value of a Future Sum when number of periods is given calculation can be explained with given input values -> 604.4161 = 33000/exp(4*1).

FAQ

What is Present Value of a Future Sum when number of periods is given?
Present Value of a Future Sum when 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 number of periods is provided and is represented as PV = FV/exp(RoR*n) 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 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 number of periods is given?
Present Value of a Future Sum when 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 number of periods is provided is calculated using present_value = Future Value/exp(Rate of Return*Number of Periods). To calculate Present Value of a Future Sum when number of periods is given, you need Future Value (FV), Rate of Return (RoR) and Number of Periods (n). With our tool, you need to enter the respective value for Future Value, Rate of Return 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 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+(Rate of Return/Compounding Periods))^(Compounding Periods*Number of Periods)
  • present_value = Future Value/(1+Interest Rate)^Total Number of Periods
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