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Principal Amount of Annual Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually. Check FAQs
PAnnual=AAnnual(1+rAnnual100)tAnnual
PAnnual - Principal Amount of Annual Compound Interest?AAnnual - Final Amount of Annual CI?rAnnual - Annual Rate of Compound Interest?tAnnual - Time Period of Annual Compound Interest?

Principal Amount of Annual Compound Interest given Final Amount Example

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

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

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

100Edit=144Edit(1+20Edit100)2Edit
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HomeIcon Home » Category Math » Category Arithmetic » Category Simple Interest and Compound Interest » fx Principal Amount of Annual Compound Interest given Final Amount

Principal Amount of Annual Compound Interest given Final Amount Solution

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

FIRST Step Consider the formula
PAnnual=AAnnual(1+rAnnual100)tAnnual
Next Step Substitute values of Variables
∴ PAnnual=144(1+20100)2Year
Next Step Prepare to Evaluate
∴ PAnnual=144(1+20100)2
LAST Step Evaluate
∴PAnnual=100

Principal Amount of Annual Compound Interest given Final Amount Formula Elements

Variables
Principal Amount of Annual Compound Interest
Principal Amount of Annual Compound Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually.
Symbol: PAnnual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Principal Amount of Annual Compound InterestOpen Variable
Final Amount of Annual CI
Final Amount of Annual CI is the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for given time period at fixed rate compounded annually.
Symbol: AAnnual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Final Amount of Annual CIOpen Variable
Annual Rate of Compound Interest
The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually.
Symbol: rAnnual
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Annual Rate of Compound InterestOpen Variable
Time Period of Annual Compound Interest
Time period of Annual Compound Interest is the number of years for which the principal amount is invested, borrowed, or lent at a fixed rate compounded annually.
Symbol: tAnnual
Measurement: TimeUnit: Year
Note: Value should be greater than 0.
Formulas to find Time Period of Annual Compound InterestOpen Variable

Other Formulas to find Principal Amount of Annual Compound Interest

​Go Principal Amount of Annual Compound Interest
PAnnual=CIAnnual(1+rAnnual100)tAnnual-1

How to Evaluate Principal Amount of Annual Compound Interest given Final Amount?

Principal Amount of Annual Compound Interest given Final Amount evaluator uses Principal Amount of Annual Compound Interest = Final Amount of Annual CI/(1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest) to evaluate the Principal Amount of Annual Compound Interest, The Principal Amount of Annual Compound Interest given Final Amount formula is defined as the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time compounded annually, and is calculated using the final amount of Compound Interest. Principal Amount of Annual Compound Interest is denoted by PAnnual symbol.

How to evaluate Principal Amount of Annual Compound Interest given Final Amount using this online evaluator? To use this online evaluator for Principal Amount of Annual Compound Interest given Final Amount, enter Final Amount of Annual CI (AAnnual), Annual Rate of Compound Interest (rAnnual) & Time Period of Annual Compound Interest (tAnnual) and hit the calculate button.

FAQs on Principal Amount of Annual Compound Interest given Final Amount

What is the formula to find Principal Amount of Annual Compound Interest given Final Amount?
The formula of Principal Amount of Annual Compound Interest given Final Amount is expressed as Principal Amount of Annual Compound Interest = Final Amount of Annual CI/(1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest). Here is an example- 100 = 144/(1+20/100)^(63113904).
How to calculate Principal Amount of Annual Compound Interest given Final Amount?
With Final Amount of Annual CI (AAnnual), Annual Rate of Compound Interest (rAnnual) & Time Period of Annual Compound Interest (tAnnual) we can find Principal Amount of Annual Compound Interest given Final Amount using the formula - Principal Amount of Annual Compound Interest = Final Amount of Annual CI/(1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest).
What are the other ways to Calculate Principal Amount of Annual Compound Interest?
Here are the different ways to Calculate Principal Amount of Annual Compound Interest-
  • Principal Amount of Annual Compound Interest=Annual Compound Interest/((1+Annual Rate of Compound Interest/100)^(Time Period of Annual Compound Interest)-1)OpenImg
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