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

Rate of Compound Interest given Final Amount Example

With values
With units
Only example

Here is how the Rate of Compound Interest given Final Amount equation looks like with Values.

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

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

5.0071Edit=4Edit⋅100⋅((1161Edit1000Edit)14Edit⋅3Edit-1)
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Rate of Compound Interest given Final Amount Solution

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

FIRST Step Consider the formula
r=n⋅100⋅((AP)1n⋅t-1)
Next Step Substitute values of Variables
∴ r=4⋅100⋅((11611000)14⋅3Year-1)
Next Step Prepare to Evaluate
∴ r=4⋅100⋅((11611000)14⋅3-1)
Next Step Evaluate
∴r=5.00713693012402
LAST Step Rounding Answer
∴r=5.0071

Rate of Compound Interest given Final Amount Formula Elements

Variables
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
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
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
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

Other Formulas to find Rate of Compound Interest

​Go Rate of Compound Interest
r=n⋅100⋅((CIP+1)1n⋅t-1)

How to Evaluate Rate of Compound Interest given Final Amount?

Rate of Compound Interest given Final Amount evaluator uses Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Final Amount of CI/Principal Amount of Compound Interest)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1) to evaluate the Rate of Compound Interest, The Rate of Compound Interest given Final Amount formula is defined as the percent of the interest paid over the principal amount for the due period compounded n-times a year, and is calculated using the final amount of Compound Interest. Rate of Compound Interest is denoted by r symbol.

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

FAQs on Rate of Compound Interest given Final Amount

What is the formula to find Rate of Compound Interest given Final Amount?
The formula of Rate of Compound Interest given Final Amount is expressed as Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Final Amount of CI/Principal Amount of Compound Interest)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1). Here is an example- 5.007137 = 4*100*((1161/1000)^(1/(4*94670856))-1).
How to calculate Rate of Compound Interest given Final Amount?
With No. of Times Interest Compounded Per Year (n), Final Amount of CI (A), Principal Amount of Compound Interest (P) & Time Period of Compound Interest (t) we can find Rate of Compound Interest given Final Amount using the formula - Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Final Amount of CI/Principal Amount of Compound Interest)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1).
What are the other ways to Calculate Rate of Compound Interest?
Here are the different ways to Calculate Rate of Compound Interest-
  • Rate of Compound Interest=No. of Times Interest Compounded Per Year*100*((Compound Interest/Principal Amount of Compound Interest+1)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1)OpenImg
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