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Principal Amount of Compound Interest given Final Amount Formula

GoPrincipal Amount of Compound Interest Formula

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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. Check FAQs

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

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

Principal Amount of Compound Interest given Final Amount Example

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

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

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

1000.2115 = \frac{1161}{{(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3}}

1000.2115 = \frac{1161}{{(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3Year}}

1000.2115 = \frac{1161}{{(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3}}

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Principal Amount of Compound Interest given Final Amount Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{1161}{{(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3Year}}

Next Step Prepare to Evaluate

∴

P = \frac{1161}{{(1 + \frac{5}{4 \cdot 100})}^{4 \cdot 3}}

Next Step Evaluate

∴

P = 1000.21148509289

LAST Step Rounding Answer

∴

P = 1000.2115

Principal Amount of Compound Interest given Final Amount Formula Elements

Variables

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

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

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 to find Principal Amount of Compound Interest

Go Principal Amount of Compound Interest

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

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

Principal Amount of Compound Interest given Final Amount evaluator uses Principal Amount of Compound Interest = Final Amount of CI/(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 Principal Amount of Compound Interest, The Principal Amount of 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 n-times a year, and is calculated using the final amount of Compound Interest. Principal Amount of Compound Interest is denoted by P symbol.

How to evaluate Principal Amount of Compound Interest given Final Amount using this online evaluator? To use this online evaluator for Principal Amount of Compound Interest given Final Amount, enter Final Amount of CI (A), 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 Principal Amount of Compound Interest given Final Amount

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

The formula of Principal Amount of Compound Interest given Final Amount is expressed as Principal Amount of Compound Interest = Final Amount of CI/(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- 1000.211 = 1161/(1+5/(4*100))^(4*94670856).

How to calculate Principal Amount of Compound Interest given Final Amount?

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

What are the other ways to Calculate Principal Amount of Compound Interest?

Here are the different ways to Calculate Principal Amount of Compound Interest-

Principal Amount of Compound Interest=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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Principal Amount of Compound Interest given Final Amount Formula

​GoPrincipal Amount of Compound Interest Formula

Principal Amount of Compound Interest given Final Amount Example

Principal Amount of Compound Interest given Final Amount Solution

Principal Amount of Compound Interest given Final Amount Formula Elements

Other Formulas to find Principal Amount of Compound Interest

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

FAQs on Principal Amount of Compound Interest given Final Amount

Variable Name

GoPrincipal Amount of Compound Interest Formula