Number of Periods Calculator

✖Future Value is the calculated future value of any investment.ⓘ Future Value [FV]			+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 [PV]			+10% -10%
✖The Rate per Period is the interest rate charged.ⓘ Rate per Period [r]			+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]

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Formula

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Number of Periods

Formula

`"n"_{"Periods"} = ln("FV"/"PV")/ln(1+"r")`

Example

`"118.8578"=ln("33000"/"100")/ln(1+"0.05")`

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Number of Periods Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period)
n_Periods = ln(FV/PV)/ln(1+r)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Number of Periods - The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.
Future Value - Future Value is the calculated future value of any investment.
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.
Rate per Period - The Rate per Period is the interest rate charged.

STEP 1: Convert Input(s) to Base Unit

Future Value: 33000 --> No Conversion Required
Present Value: 100 --> No Conversion Required
Rate per Period: 0.05 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_Periods = ln(FV/PV)/ln(1+r) --> ln(33000/100)/ln(1+0.05)

Evaluating ... ...

n_Periods = 118.857822128292

STEP 3: Convert Result to Output's Unit

118.857822128292 --> No Conversion Required

FINAL ANSWER

118.857822128292 ≈ 118.8578 <-- Number of Periods

(Calculation completed in 00.004 seconds)

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Created by Vishnu K

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< 10+ Time Value of Money Calculators

Annuity Due Payment using Future Value

Go Annuity Payment Due = (Future Value*Rate per Period/(((1+Rate per Period)^(Total Number of Periods))-1))/(1+Rate per Period)

Number of Periods

Go Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period)

Hamada Equation

Go Leveraged Beta = Unleveraged Beta*(1+(1-Tax Rate)*Debt to Equity (D/E))

Doubling Time

Go Doubling Time = log10(2)/log10(1+Rate of Return/100)

Doubling Time (Continuous Compounding)

Go Doubling Time Continuous Compounding = ln(2)/(Rate of Return/100)

Perpetuity Yield

Go Perpetuity Yield = Perpetuity Payment/Present Value

Perpetuity Payment

Go Perpetuity Payment = Present Value*Rate per Period

Doubling Time (Simple Interest)

Go Doubling Time Simple Interest = 100/Annual Interest Rate

Rule of 69

Go Doubling Time = 69/Rate of Interest as Whole Number

Rule of 72

Go Rule of 72 = 72/Rate of Interest as Whole Number

Number of Periods Formula

Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period)
n_Periods = ln(FV/PV)/ln(1+r)

What are Number of Periods?

The number of periods in the context of time value of money refers to the total number of compounding periods or payment periods over which a financial transaction occurs. It could represent the number of years, months, quarters, or any other unit of time depending on the frequency of compounding or payments.
The number of periods is a crucial parameter in many time value of money calculations, including determining the future value, present value, or the duration of an investment or loan.

How to Calculate Number of Periods?

Number of Periods calculator uses Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period) to calculate the Number of Periods, The Number of Periods formula is defined as the total number of compounding periods or payment periods over which a financial transaction occurs. Number of Periods is denoted by n_Periods symbol.

How to calculate Number of Periods using this online calculator? To use this online calculator for Number of Periods, enter Future Value (FV), Present Value (PV) & Rate per Period (r) and hit the calculate button. Here is how the Number of Periods calculation can be explained with given input values -> 14.30232 = ln(33000/100)/ln(1+0.05).

FAQ

What is Number of Periods?

The Number of Periods formula is defined as the total number of compounding periods or payment periods over which a financial transaction occurs and is represented as n_Periods = ln(FV/PV)/ln(1+r) or Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period). Future Value is the calculated future value of any investment, The Present Value of the annuity is the value that determines the value of a series of future periodic payments at a given time & The Rate per Period is the interest rate charged.

How to calculate Number of Periods?

The Number of Periods formula is defined as the total number of compounding periods or payment periods over which a financial transaction occurs is calculated using Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period). To calculate Number of Periods, you need Future Value (FV), Present Value (PV) & Rate per Period (r). With our tool, you need to enter the respective value for Future Value, Present Value & Rate per Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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