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Final Amount of Compound Interest Formula

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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. Check FAQs

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

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

Final Amount of Compound Interest Example

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

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

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

1160.7545 = 1000 \cdot {(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3}

1160.7545 = 1000 \cdot {(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3Year}

1160.7545 = 1000 \cdot {(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3}

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Final Amount of Compound Interest Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 1000 \cdot {(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3Year}

Next Step Prepare to Evaluate

∴

A = 1000 \cdot {(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3}

Next Step Evaluate

∴

A = 1160.754517723

LAST Step Rounding Answer

∴

A = 1160.7545

Final Amount of Compound Interest Formula Elements

Variables

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 CI

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

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

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

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

Other formulas in Final Amount of Compound Interest category

Go Compound Interest Formula

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

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)

Go Time Period of Compound Interest

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

How to Evaluate Final Amount of Compound Interest?

Final Amount of Compound Interest evaluator uses Final Amount of CI = Principal Amount of Compound Interest*(1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100))^(No. of Times Interest Compounded Per Year*Time Period of Compound Interest) to evaluate the Final Amount of CI, The Final Amount of Compound Interest formula is defined as the total amount received or paid back, including the amount invested or borrowed initially, and interest on it for a given time period at a fixed rate compounded n-times a year. Final Amount of CI is denoted by A symbol.

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

FAQs on Final Amount of Compound Interest

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

The formula of Final Amount of Compound Interest is expressed as Final Amount of CI = Principal Amount of Compound Interest*(1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100))^(No. of Times Interest Compounded Per Year*Time Period of Compound Interest). Here is an example- 1160.755 = 1000*(1+5/(4*100))^(4*94670856).

How to calculate Final Amount of Compound Interest?

With Principal Amount of Compound Interest (P), Rate of Compound Interest (r), No. of Times Interest Compounded Per Year (n) & Time Period of Compound Interest (t) we can find Final Amount of Compound Interest using the formula - Final Amount of CI = Principal Amount of Compound Interest*(1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100))^(No. of Times Interest Compounded Per Year*Time Period of Compound Interest).

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Final Amount of Compound Interest Formula

Final Amount of Compound Interest Example

Final Amount of Compound Interest Solution

Final Amount of Compound Interest Formula Elements

Other formulas in Final Amount of Compound Interest category

How to Evaluate Final Amount of Compound Interest?

FAQs on Final Amount of Compound Interest

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