Number of Periods using Future Value Calculator

✖Future Value of Annuity is the value of a group of recurring payments at a specified date in the future; these regularly recurring payments are known as an annuity.ⓘ Future Value of Annuity [FV_A]			+10% -10%
✖The Rate per Period is the interest rate charged.ⓘ Rate per Period [r]			+10% -10%
✖Cashflow per Period refers to the amount of money that is either received or paid out at regular intervals.ⓘ Cashflow per Period [C_f]			+10% -10%

✖The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.ⓘ Number of Periods using Future Value [n_Periods]

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Formula

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Number of Periods using Future Value

Formula

`"n"_{"Periods"} = ln(1+(("FV"_{"A"}*"r")/"C"_{"f"}))/ln(1+"r")`

Example

`"21.94906"=ln(1+(("57540"*"0.05")/"1500"))/ln(1+"0.05")`

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Number of Periods using Future Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period)
n_Periods = ln(1+((FV_A*r)/C_f))/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 of Annuity - Future Value of Annuity is the value of a group of recurring payments at a specified date in the future; these regularly recurring payments are known as an annuity.
Rate per Period - The Rate per Period is the interest rate charged.
Cashflow per Period - Cashflow per Period refers to the amount of money that is either received or paid out at regular intervals.

STEP 1: Convert Input(s) to Base Unit

Future Value of Annuity: 57540 --> No Conversion Required
Rate per Period: 0.05 --> No Conversion Required
Cashflow per Period: 1500 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_Periods = ln(1+((FV_A*r)/C_f))/ln(1+r) --> ln(1+((57540*0.05)/1500))/ln(1+0.05)

Evaluating ... ...

n_Periods = 21.9490642905344

STEP 3: Convert Result to Output's Unit

21.9490642905344 --> No Conversion Required

FINAL ANSWER

21.9490642905344 ≈ 21.94906 <-- Number of Periods

(Calculation completed in 00.004 seconds)

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Created by Keerthika Bathula

Indian Institute of Technology, Indian School of mines, Dhanbad (IIT ISM Dhanbad), Dhanbad

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< 14 Future value Calculators

Future Value of Growing Annuity

Go Future Value of Growing Annuity = Initial Investment*((1+Rate per Period)^(Number of Periods)-(1+Growth Rate)^(Number of Periods))/(Rate per Period-Growth Rate)

Growing Annuity Payment using Future Value

Go Initial Payment = (Future Value*(Rate per Period-Growth Rate))/(((1+Rate per Period)^(Number of Periods))-((1+Growth Rate)^(Number of Periods)))

Number of Periods using Future Value

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

Annuity Due for Future Value

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

Future Value of Present Sum given Compounding Periods

Go Future Value = Present Value*(1+((Rate of Return*0.01)/Compounding Periods))^(Compounding Periods*Number of Periods)

Future Value of Annuity with Continuous Compounding

Go FV of Annuity with Continuous Compounding = Cashflow per Period*((e^(Rate per Period*Number of Periods)-1)/(e^(Rate per Period)-1))

Future Value of Ordinary Annuities and Sinking Funds

Go Future Value of Ordinary Annuity = Cashflow per Period*((1+Rate per Period)^(Total Number of Times Compounded)-1)/Rate per Period

Future Value of Annuity

Go Future Value of Annuity = (Monthly Payment/(Interest Rate*0.01))*((1+(Interest Rate*0.01))^Number of Periods-1)

Future Value with Continuous Compounding

Go Future Value with Continuous Compounding = Present Value*(e^(Rate of Return*Number of Compounding Periods*0.01))

Future Value of Present Sum given Number of Periods

Go Future Value = Present Value*exp(Rate of Return*Number of Periods*0.01)

Future Value of Lumpsum

Go Future Value of Lumpsum = Present Value*(1+Interest Rate per Period)^Number of Periods

Annuity Payment using Future Value

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

Future Value of Present Sum given Total Number of Periods

Go Future Value = Present Value*(1+(Rate of Return*0.01))^Number of Periods

Future Value Factor

Go Future Value Factor = (1+Rate per Period)^Number of Periods

Number of Periods using Future Value Formula

Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period)
n_Periods = ln(1+((FV_A*r)/C_f))/ln(1+r)

What is Number of Periods using Future Value?

The number of periods using the future value of an annuity is a financial concept that determines the time it takes for a series of regular payments, made at a consistent interest rate, to grow to a specific future value. This calculation is fundamental in financial planning, allowing individuals and businesses to forecast how long it will take to reach a desired savings goal, investment target, or debt repayment milestone. By knowing the future value, the annuity payment amount, and the interest rate, one can calculate the number of periods needed to achieve the desired financial outcome. This information is valuable in making informed decisions regarding retirement planning, investment strategies, and other financial endeavors, providing a roadmap for achieving long-term financial objectives.

How to Calculate Number of Periods using Future Value?

Number of Periods using Future Value calculator uses Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period) to calculate the Number of Periods, The Number of Periods using Future Value formula refers to the duration required for regular payments at a specified interest rate to accumulate to a desired future value. Number of Periods is denoted by n_Periods symbol.

How to calculate Number of Periods using Future Value using this online calculator? To use this online calculator for Number of Periods using Future Value, enter Future Value of Annuity (FV_A), Rate per Period (r) & Cashflow per Period (C_f) and hit the calculate button. Here is how the Number of Periods using Future Value calculation can be explained with given input values -> 2.550259 = ln(1+((57540*0.05)/1500))/ln(1+0.05).

FAQ

What is Number of Periods using Future Value?

The Number of Periods using Future Value formula refers to the duration required for regular payments at a specified interest rate to accumulate to a desired future value and is represented as n_Periods = ln(1+((FV_A*r)/C_f))/ln(1+r) or Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period). Future Value of Annuity is the value of a group of recurring payments at a specified date in the future; these regularly recurring payments are known as an annuity, The Rate per Period is the interest rate charged & Cashflow per Period refers to the amount of money that is either received or paid out at regular intervals.

How to calculate Number of Periods using Future Value?

The Number of Periods using Future Value formula refers to the duration required for regular payments at a specified interest rate to accumulate to a desired future value is calculated using Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period). To calculate Number of Periods using Future Value, you need Future Value of Annuity (FV_A), Rate per Period (r) & Cashflow per Period (C_f). With our tool, you need to enter the respective value for Future Value of Annuity, Rate per Period & Cashflow 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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