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Number of Periods 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 (\frac{FV}{PV})}{\ln (1 + r)}

n_Periods - Number of Periods?FV - Future Value?PV - Present Value?r - Rate per Period?

Number of Periods Example

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With units

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

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

Here is how the Number of Periods equation looks like.

118.8578 = \frac{\ln (\frac{33000}{100})}{\ln (1 + 0.05)}

118.8578 = \frac{\ln (\frac{33000}{100})}{\ln (1 + 0.05)}

118.8578 = \frac{\ln (\frac{33000}{100})}{\ln (1 + 0.05)}

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Number of Periods Solution

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

FIRST Step Consider the formula

n Periods = \frac{\ln (\frac{FV}{PV})}{\ln (1 + r)}

Next Step Substitute values of Variables

∴

n Periods = \frac{\ln (\frac{33000}{100})}{\ln (1 + 0.05)}

Next Step Prepare to Evaluate

∴

n Periods = \frac{\ln (\frac{33000}{100})}{\ln (1 + 0.05)}

Next Step Evaluate

∴

n Periods = 118.857822128292

LAST Step Rounding Answer

∴

n Periods = 118.8578

Number of Periods 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

Future Value is the calculated future value of any investment.

Symbol: FV

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Future Value

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.

Symbol: PV

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Present Value

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

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

Syntax: ln(Number)

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How to Evaluate Number of Periods?

Number of Periods evaluator uses Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period) to evaluate 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 evaluate Number of Periods using this online evaluator? To use this online evaluator for Number of Periods, enter Future Value (FV), Present Value (PV) & Rate per Period (r) and hit the calculate button.

FAQs on Number of Periods

What is the formula to find Number of Periods?

The formula of Number of Periods is expressed as Number of Periods = ln(Future Value/Present Value)/ln(1+Rate per Period). Here is an example- 14.30232 = ln(33000/100)/ln(1+0.05).

How to calculate Number of Periods?

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

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Number of Periods Formula

Number of Periods Example

Number of Periods Solution

Number of Periods Formula Elements

Other formulas in Basics of Time Value of Money category

How to Evaluate Number of Periods?

FAQs on Number of Periods

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