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Compound Interest Formula Formula

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Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded n-times a year. Check FAQs

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

CI - Compound Interest?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?

Compound Interest Formula Example

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With units

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Here is how the Compound Interest Formula equation looks like with Values.

Here is how the Compound Interest Formula equation looks like with Units.

Here is how the Compound Interest Formula equation looks like.

160.7545 = 1000 \cdot ({(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3} - 1)

160.7545 = 1000 \cdot ({(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3Year} - 1)

160.7545 = 1000 \cdot ({(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3} - 1)

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Compound Interest Formula Solution

Follow our step by step solution on how to calculate Compound Interest Formula?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

CI = 160.754517722998

LAST Step Rounding Answer

∴

CI = 160.7545

Compound Interest Formula Formula Elements

Variables

Compound Interest

Compound Interest is the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded n-times a year.

Symbol: CI

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Compound Interest

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 Compound Interest category

Go Final Amount of Compound Interest

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

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 Compound Interest Formula?

Compound Interest Formula evaluator uses Compound Interest = 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)-1) to evaluate the Compound Interest, The Compound Interest formula is defined as the extra amount gained/paid on the principal amount for the time period at a fixed rate compounded n-times a year. Compound Interest is denoted by CI symbol.

How to evaluate Compound Interest Formula using this online evaluator? To use this online evaluator for Compound Interest Formula, 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 Compound Interest Formula

What is the formula to find Compound Interest Formula?

The formula of Compound Interest Formula is expressed as Compound Interest = 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)-1). Here is an example- 160.7545 = 1000*((1+5/(4*100))^(4*94670856)-1).

How to calculate Compound Interest Formula?

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 Compound Interest Formula using the formula - Compound Interest = 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)-1).

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Compound Interest Formula Formula

Compound Interest Formula Example

Compound Interest Formula Solution

Compound Interest Formula Formula Elements

Other formulas in Compound Interest category

How to Evaluate Compound Interest Formula?

FAQs on Compound Interest Formula

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