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Number of Periods using Future Value Formula

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The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate. Check FAQs

n Periods = \frac{\ln (1 + (\frac{FV A \cdot r}{C f}))}{\ln (1 + r)}

n_Periods - Number of Periods?FV_A - Future Value of Annuity?r - Rate per Period?C_f - Cashflow per Period?

Number of Periods using Future Value Example

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Here is how the Number of Periods using Future Value equation looks like with Values.

Here is how the Number of Periods using Future Value equation looks like with Units.

Here is how the Number of Periods using Future Value equation looks like.

21.9491 = \frac{\ln (1 + (\frac{57540 \cdot 0.05}{1500}))}{\ln (1 + 0.05)}

21.9491 = \frac{\ln (1 + (\frac{57540 \cdot 0.05}{1500}))}{\ln (1 + 0.05)}

21.9491 = \frac{\ln (1 + (\frac{57540 \cdot 0.05}{1500}))}{\ln (1 + 0.05)}

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Number of Periods using Future Value Solution

Follow our step by step solution on how to calculate Number of Periods using Future Value?

FIRST Step Consider the formula

n Periods = \frac{\ln (1 + (\frac{FV A \cdot r}{C f}))}{\ln (1 + r)}

Next Step Substitute values of Variables

∴

n Periods = \frac{\ln (1 + (\frac{57540 \cdot 0.05}{1500}))}{\ln (1 + 0.05)}

Next Step Prepare to Evaluate

∴

n Periods = \frac{\ln (1 + (\frac{57540 \cdot 0.05}{1500}))}{\ln (1 + 0.05)}

Next Step Evaluate

∴

n Periods = 21.9490642905344

LAST Step Rounding Answer

∴

n Periods = 21.9491

Number of Periods using Future Value Formula Elements

Variables

Functions

Number of Periods

The Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.

Symbol: n_Periods

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Periods

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.

Symbol: FV_A

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Future Value of Annuity

Rate per Period

The Rate per Period is the interest rate charged.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rate per Period

Cashflow per Period

Cashflow per Period refers to the amount of money that is either received or paid out at regular intervals.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cashflow per Period

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Future value category

Go Future Value of Annuity

FV A = (\frac{p}{IR \cdot 0.01}) \cdot ({(1 + (IR \cdot 0.01))}^{n Periods} - 1)

Go Future Value of Present Sum given Compounding Periods

FV = PV \cdot {(1 + (\frac{%RoR \cdot 0.01}{C n}))}^{C n \cdot n Periods}

Go Future Value of Present Sum given Total Number of Periods

FV = PV \cdot {(1 + (%RoR \cdot 0.01))}^{n Periods}

Go Future Value of Present Sum given Number of Periods

FV = PV \cdot \exp (%RoR \cdot n Periods \cdot 0.01)

How to Evaluate Number of Periods using Future Value?

Number of Periods using Future Value evaluator uses Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period) to evaluate 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 evaluate Number of Periods using Future Value using this online evaluator? To use this online evaluator 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.

FAQs on Number of Periods using Future Value

What is the formula to find Number of Periods using Future Value?

The formula of Number of Periods using Future Value is expressed as Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period). Here is an example- 2.550259 = ln(1+((57540*0.05)/1500))/ln(1+0.05).

How to calculate Number of Periods using Future Value?

With Future Value of Annuity (FV_A), Rate per Period (r) & Cashflow per Period (C_f) we can find Number of Periods using Future Value using the formula - Number of Periods = ln(1+((Future Value of Annuity*Rate per Period)/Cashflow per Period))/ln(1+Rate per Period). This formula also uses Natural Logarithm (ln) function(s).

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Number of Periods using Future Value Formula

Number of Periods using Future Value Example

Number of Periods using Future Value Solution

Number of Periods using Future Value Formula Elements

Other formulas in Future value category

How to Evaluate Number of Periods using Future Value?

FAQs on Number of Periods using Future Value

Variable Name