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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=1n⋅log((1+rn⋅100),AP)
t - Time Period of Compound Interest?n - No. of Times Interest Compounded Per Year?r - Rate of Compound Interest?A - Final Amount of CI?P - Principal Amount of Compound Interest?

Time Period of Compound Interest given Final Amount Example

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With units
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Here is how the Time Period of Compound Interest given Final Amount equation looks like with Values.

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

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

3.0043Edit=14Edit⋅log((1+5Edit4Edit⋅100),1161Edit1000Edit)
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Time Period of Compound Interest given Final Amount Solution

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

FIRST Step Consider the formula
t=1n⋅log((1+rn⋅100),AP)
Next Step Substitute values of Variables
∴ t=14⋅log((1+54⋅100),11611000)
Next Step Prepare to Evaluate
∴ t=14⋅log((1+54⋅100),11611000)
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 given Final Amount 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 InterestOpen Variable
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 YearOpen Variable
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 InterestOpen Variable
Final Amount of CI
Final Amount of CI is the total amount received/paid back, including the amount invested/borrowed initially, and interest on it for given time period at fixed rate compounded n-times a year.
Symbol: A
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Final Amount of CIOpen Variable
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 InterestOpen Variable
log
Logarithmic function is an inverse function to exponentiation.
Syntax: log(Base, Number)

Other Formulas to find Time Period of Compound Interest

​Go Time Period of Compound Interest
t=1n⋅log((1+rn⋅100),CIP+1)

How to Evaluate Time Period of Compound Interest given Final Amount?

Time Period of Compound Interest given Final Amount 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)),Final Amount of CI/Principal Amount of Compound Interest) to evaluate the Time Period of Compound Interest, The Time Period of Compound Interest given Final Amount 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, and is calculated using the final amount of Compound Interest. Time Period of Compound Interest is denoted by t symbol.

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

FAQs on Time Period of Compound Interest given Final Amount

What is the formula to find Time Period of Compound Interest given Final Amount?
The formula of Time Period of Compound Interest given Final Amount 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)),Final Amount of CI/Principal Amount of Compound Interest). Here is an example- 9.5E-8 = 1/4*log((1+5/(4*100)),1161/1000).
How to calculate Time Period of Compound Interest given Final Amount?
With No. of Times Interest Compounded Per Year (n), Rate of Compound Interest (r), Final Amount of CI (A) & Principal Amount of Compound Interest (P) we can find Time Period of Compound Interest given Final Amount 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)),Final Amount of CI/Principal Amount of Compound Interest). This formula also uses Logarithmic Inverse Function function(s).
What are the other ways to Calculate Time Period of Compound Interest?
Here are the different ways to Calculate Time Period of Compound Interest-
  • 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)OpenImg
Can the Time Period of Compound Interest given Final Amount be negative?
No, the Time Period of Compound Interest given Final Amount, measured in Time cannot be negative.
Which unit is used to measure Time Period of Compound Interest given Final Amount?
Time Period of Compound Interest given Final Amount 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 given Final Amount can be measured.
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