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Number of Periods using Present Value of Annuity Formula

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Total Number of Periods is the total number of compounding periods for the life of the investment. Check FAQs

t = \frac{\ln ({(1 - (\frac{PVAnnuity}{C f}))}^{- 1})}{\ln (1 + r)}

t - Total Number of Periods?PVAnnuity - Present Value of Annuity?C_f - Cashflow per Period?r - Rate per Period?

Number of Periods using Present Value of Annuity Example

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

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

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

74.2843 = \frac{\ln ({(1 - (\frac{1460}{1500}))}^{- 1})}{\ln (1 + 0.05)}

74.2843 = \frac{\ln ({(1 - (\frac{1460}{1500}))}^{- 1})}{\ln (1 + 0.05)}

74.2843 = \frac{\ln ({(1 - (\frac{1460}{1500}))}^{- 1})}{\ln (1 + 0.05)}

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Number of Periods using Present Value of Annuity Solution

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

FIRST Step Consider the formula

t = \frac{\ln ({(1 - (\frac{PVAnnuity}{C f}))}^{- 1})}{\ln (1 + r)}

Next Step Substitute values of Variables

∴

t = \frac{\ln ({(1 - (\frac{1460}{1500}))}^{- 1})}{\ln (1 + 0.05)}

Next Step Prepare to Evaluate

∴

t = \frac{\ln ({(1 - (\frac{1460}{1500}))}^{- 1})}{\ln (1 + 0.05)}

Next Step Evaluate

∴

t = 74.2842536948684

LAST Step Rounding Answer

∴

t = 74.2843

Number of Periods using Present Value of Annuity Formula Elements

Variables

Functions

Total Number of Periods

Total Number of Periods is the total number of compounding periods for the life of the investment.

Symbol: t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Number of Periods

Present Value of Annuity

Present Value of Annuity is the current value of a set of cash flows in the future, given a specified rate of return or discount rate.

Symbol: PVAnnuity

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Present Value of Annuity

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

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)

Other formulas in Present Value category

Go Present Value of Annuity

PVAnnuity = (\frac{p}{IR}) \cdot (1 - (\frac{1}{{(1 + IR)}^{n Months}}))

Go Present Value of Future Sum given compounding periods

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

Go Present Value of Future Sum given Total Number of Periods

PV = \frac{FV}{{(1 + IR)}^{t}}

Go Present Value of Future Sum given Number of Periods

PV = \frac{FV}{\exp (%RoR \cdot n Periods)}

How to Evaluate Number of Periods using Present Value of Annuity?

Number of Periods using Present Value of Annuity evaluator uses Total Number of Periods = ln((1-(Present Value of Annuity/Cashflow per Period))^-1)/ln(1+Rate per Period) to evaluate the Total Number of Periods, The Number of Periods using Present Value of Annuity formula is defined as the time duration over which regular payments (PMT) at a certain interest rate (r) will accumulate to equal the desired present value (PV). Total Number of Periods is denoted by t symbol.

How to evaluate Number of Periods using Present Value of Annuity using this online evaluator? To use this online evaluator for Number of Periods using Present Value of Annuity, enter Present Value of Annuity (PVAnnuity), Cashflow per Period (C_f) & Rate per Period (r) and hit the calculate button.

FAQs on Number of Periods using Present Value of Annuity

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

The formula of Number of Periods using Present Value of Annuity is expressed as Total Number of Periods = ln((1-(Present Value of Annuity/Cashflow per Period))^-1)/ln(1+Rate per Period). Here is an example- 8.938725 = ln((1-(1460/1500))^-1)/ln(1+0.05).

How to calculate Number of Periods using Present Value of Annuity?

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

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Number of Periods using Present Value of Annuity Formula

Number of Periods using Present Value of Annuity Example

Number of Periods using Present Value of Annuity Solution

Number of Periods using Present Value of Annuity Formula Elements

Other formulas in Present Value category

How to Evaluate Number of Periods using Present Value of Annuity?

FAQs on Number of Periods using Present Value of Annuity

Variable Name