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Annual Rate of Compound Interest given Final Amount Formula

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The Annual Rate of Compound Interest is the percent of the interest paid over the principal amount for the due period compounded annually. Check FAQs

r Annual = 100 \cdot ({(\frac{A Annual}{P Annual})}^{\frac{1}{t Annual}} - 1)

r_Annual - Annual Rate of Compound Interest?A_Annual - Final Amount of Annual CI?P_Annual - Principal Amount of Annual Compound Interest?t_Annual - Time Period of Annual Compound Interest?

Annual Rate of Compound Interest given Final Amount Example

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

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

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

20 = 100 \cdot ({(\frac{144}{100})}^{\frac{1}{2}} - 1)

20 = 100 \cdot ({(\frac{144}{100})}^{\frac{1}{2Year}} - 1)

20 = 100 \cdot ({(\frac{144}{100})}^{\frac{1}{2}} - 1)

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Annual Rate of Compound Interest given Final Amount Solution

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

FIRST Step Consider the formula

r Annual = 100 \cdot ({(\frac{A Annual}{P Annual})}^{\frac{1}{t Annual}} - 1)

Next Step Substitute values of Variables

∴

r Annual = 100 \cdot ({(\frac{144}{100})}^{\frac{1}{2Year}} - 1)

Next Step Prepare to Evaluate

∴

r Annual = 100 \cdot ({(\frac{144}{100})}^{\frac{1}{2}} - 1)

LAST Step Evaluate

∴

r Annual = 20

Annual Rate of Compound Interest given Final Amount Formula Elements

Variables

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: r_Annual

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Annual Rate of Compound Interest

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: A_Annual

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Final Amount of Annual CI

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: P_Annual

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Principal Amount of Annual Compound Interest

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: t_Annual

Measurement: TimeUnit: Year

Note: Value should be greater than 0.

Formulas to find Time Period of Annual Compound Interest

Other Formulas to find Annual Rate of Compound Interest

Go Annual Rate of Compound Interest

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

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

Annual Rate of Compound Interest given Final Amount evaluator uses Annual Rate of Compound Interest = 100*((Final Amount of Annual CI/Principal Amount of Annual Compound Interest)^(1/Time Period of Annual Compound Interest)-1) to evaluate the Annual Rate of Compound Interest, The Annual 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 annually, and is calculated using the final amount of Compound Interest. Annual Rate of Compound Interest is denoted by r_Annual symbol.

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

FAQs on Annual Rate of Compound Interest given Final Amount

What is the formula to find Annual Rate of Compound Interest given Final Amount?

The formula of Annual Rate of Compound Interest given Final Amount is expressed as Annual Rate of Compound Interest = 100*((Final Amount of Annual CI/Principal Amount of Annual Compound Interest)^(1/Time Period of Annual Compound Interest)-1). Here is an example- 20 = 100*((144/100)^(1/63113904)-1).

How to calculate Annual Rate of Compound Interest given Final Amount?

With Final Amount of Annual CI (A_Annual), Principal Amount of Annual Compound Interest (P_Annual) & Time Period of Annual Compound Interest (t_Annual) we can find Annual Rate of Compound Interest given Final Amount using the formula - Annual Rate of Compound Interest = 100*((Final Amount of Annual CI/Principal Amount of Annual Compound Interest)^(1/Time Period of Annual Compound Interest)-1).

What are the other ways to Calculate Annual Rate of Compound Interest?

Here are the different ways to Calculate Annual Rate of Compound Interest-

Annual Rate of Compound Interest=100*((Annual Compound Interest/Principal Amount of Annual Compound Interest+1)^(1/Time Period of Annual Compound Interest)-1)

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Annual Rate of Compound Interest given Final Amount Formula

​GoAnnual Rate of Compound Interest Formula

Annual Rate of Compound Interest given Final Amount Example

Annual Rate of Compound Interest given Final Amount Solution

Annual Rate of Compound Interest given Final Amount Formula Elements

Other Formulas to find Annual Rate of Compound Interest

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

FAQs on Annual Rate of Compound Interest given Final Amount

Variable Name

GoAnnual Rate of Compound Interest Formula