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Time Period of Compound Interest Formula

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Time Period of Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded n-times a year. Check FAQs

t = \frac{1}{n} \cdot \log ((1 + \frac{r}{n \cdot 100}), \frac{CI}{P} + 1)

t - Time Period of Compound Interest?n - No. of Times Interest Compounded Per Year?r - Rate of Compound Interest?CI - Compound Interest?P - Principal Amount of Compound Interest?

Time Period of Compound Interest Example

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Here is how the Time Period of Compound Interest equation looks like with Values.

Here is how the Time Period of Compound Interest equation looks like with Units.

Here is how the Time Period of Compound Interest equation looks like.

3.0043 = \frac{1}{4} \cdot \log ((1 + \frac{5}{4 \cdot 100}), \frac{161}{1000} + 1)

3.0043Year = \frac{1}{4} \cdot \log ((1 + \frac{5}{4 \cdot 100}), \frac{161}{1000} + 1)

3.0043 = \frac{1}{4} \cdot \log ((1 + \frac{5}{4 \cdot 100}), \frac{161}{1000} + 1)

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Time Period of Compound Interest Solution

Follow our step by step solution on how to calculate Time Period of Compound Interest?

FIRST Step Consider the formula

t = \frac{1}{n} \cdot \log ((1 + \frac{r}{n \cdot 100}), \frac{CI}{P} + 1)

Next Step Substitute values of Variables

∴

t = \frac{1}{4} \cdot \log ((1 + \frac{5}{4 \cdot 100}), \frac{161}{1000} + 1)

Next Step Prepare to Evaluate

∴

t = \frac{1}{4} \cdot \log ((1 + \frac{5}{4 \cdot 100}), \frac{161}{1000} + 1)

Next Step Evaluate

∴

t = 94805150.7992442s

Next Step Convert to Output's Unit

∴

t = 3.00425563277607Year

LAST Step Rounding Answer

∴

t = 3.0043Year

Time Period of Compound Interest Formula Elements

Variables

Functions

Time Period of Compound Interest

Time Period of Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded n-times a year.

Symbol: t

Measurement: TimeUnit: Year

Note: Value should be greater than 0.

Formulas to find Time Period of Compound Interest

No. of Times Interest Compounded Per Year

The No. of Times Interest Compounded Per Year is the number of times the interest is combined with the initial amount invested, borrowed, or lent per year.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find No. of Times Interest Compounded Per Year

Rate of Compound Interest

The Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period per year compounded n-times a year.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rate of Compound Interest

Compound Interest

Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded n-times a year.

Symbol: CI

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Compound Interest

Principal Amount of Compound Interest

Principal Amount of Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded n-times a year.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Principal Amount of Compound Interest

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Time Period of Compound Interest category

Go Compound Interest Formula

CI = P \cdot ({(1 + \frac{r}{n \cdot 100})}^{n \cdot t} - 1)

Go Final Amount of Compound Interest

A = P \cdot {(1 + \frac{r}{n \cdot 100})}^{n \cdot t}

Go Principal Amount of Compound Interest

P = \frac{CI}{{(1 + \frac{r}{n \cdot 100})}^{n \cdot t} - 1}

Go Rate of Compound Interest

r = n \cdot 100 \cdot ({(\frac{CI}{P} + 1)}^{\frac{1}{n \cdot t}} - 1)

How to Evaluate Time Period of Compound Interest?

Time Period of Compound Interest evaluator uses Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1) to evaluate the Time Period of Compound Interest, The Time Period of Compound Interest formula is defined as the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded n-times a year. Time Period of Compound Interest is denoted by t symbol.

How to evaluate Time Period of Compound Interest using this online evaluator? To use this online evaluator for Time Period of Compound Interest, enter No. of Times Interest Compounded Per Year (n), Rate of Compound Interest (r), Compound Interest (CI) & Principal Amount of Compound Interest (P) and hit the calculate button.

FAQs on Time Period of Compound Interest

What is the formula to find Time Period of Compound Interest?

The formula of Time Period of Compound Interest is expressed as Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1). Here is an example- 9.5E-8 = 1/4*log((1+5/(4*100)),161/1000+1).

How to calculate Time Period of Compound Interest?

With No. of Times Interest Compounded Per Year (n), Rate of Compound Interest (r), Compound Interest (CI) & Principal Amount of Compound Interest (P) we can find Time Period of Compound Interest using the formula - Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1). This formula also uses Logarithmic Inverse (log) function(s).

Can the Time Period of Compound Interest be negative?

No, the Time Period of Compound Interest, measured in Time cannot be negative.

Which unit is used to measure Time Period of Compound Interest?

Time Period of Compound Interest is usually measured using the Year[Year] for Time. Second[Year], Millisecond[Year], Microsecond[Year] are the few other units in which Time Period of Compound Interest can be measured.

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Time Period of Compound Interest Formula

Time Period of Compound Interest Example

Time Period of Compound Interest Solution

Time Period of Compound Interest Formula Elements

Other formulas in Time Period of Compound Interest category

How to Evaluate Time Period of Compound Interest?

FAQs on Time Period of Compound Interest

Variable Name