Rate of Compound Interest Calculator

✖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.ⓘ No. of Times Interest Compounded Per Year [n]			+10% -10%
✖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.ⓘ Compound Interest [CI]			+10% -10%
✖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.ⓘ Principal Amount of Compound Interest [P]			+10% -10%
✖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.ⓘ Time Period of Compound Interest [t]			+10% -10%

✖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.ⓘ Rate of Compound Interest [r]

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Formula

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Rate of Compound Interest

Formula

`"r" = "n"*100*(("CI"/"P"+1)^(1/("n"*"t"))-1)`

Example

`"5.007137"="4"*100*(("161"/"1000"+1)^(1/("4"*"3Year"))-1)`

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Rate of Compound Interest Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Compound Interest/Principal Amount of Compound Interest+1)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1)
r = n*100*((CI/P+1)^(1/(n*t))-1)
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.
Time Period of Compound Interest - (Measured in Year) - 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.

STEP 1: Convert Input(s) to Base Unit

No. of Times Interest Compounded Per Year: 4 --> No Conversion Required
Compound Interest: 161 --> No Conversion Required
Principal Amount of Compound Interest: 1000 --> No Conversion Required
Time Period of Compound Interest: 3 Year --> 3 Year No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = n*100*((CI/P+1)^(1/(n*t))-1) --> 4*100*((161/1000+1)^(1/(4*3))-1)

Evaluating ... ...

r = 5.00713693012402

STEP 3: Convert Result to Output's Unit

5.00713693012402 --> No Conversion Required

FINAL ANSWER

5.00713693012402 ≈ 5.007137 <-- Rate of Compound Interest

(Calculation completed in 00.020 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 2 Rate of Compound Interest Calculators

Rate of Compound Interest

Go Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Compound Interest/Principal Amount of Compound Interest+1)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1)

Rate of Compound Interest given Final Amount

Go Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Final Amount of CI/Principal Amount of Compound Interest)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1)

< 5 Compound Interest Calculators

Time Period of Compound Interest

Go Time Period of Compound Interest = 1/No. of Times Interest Compounded Per Year*log((1+Rate of Compound Interest/(No. of Times Interest Compounded Per Year*100)),Compound Interest/Principal Amount of Compound Interest+1)

Rate of Compound Interest

Principal Amount of Compound Interest

Go 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)

Compound Interest Formula

Go 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)

Final Amount of Compound Interest

Go 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)

Rate of Compound Interest Formula

What is Compound Interest?

Compound Interest is the interest calculated on the principal and the interest accumulated over the previous period. The Compound Interest for an amount depends on both principal and interest gained over periods. Compound Interest varies with each year for the same principal amount. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

How to Calculate Rate of Compound Interest?

Rate of Compound Interest calculator uses Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Compound Interest/Principal Amount of Compound Interest+1)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1) to calculate the Rate of Compound Interest, The Rate of Compound Interest formula is defined as the percent of the interest paid over the principal amount for the due period compounded n-times a year. Rate of Compound Interest is denoted by r symbol.

How to calculate Rate of Compound Interest using this online calculator? To use this online calculator for Rate of Compound Interest, enter No. of Times Interest Compounded Per Year (n), Compound Interest (CI), Principal Amount of Compound Interest (P) & Time Period of Compound Interest (t) and hit the calculate button. Here is how the Rate of Compound Interest calculation can be explained with given input values -> 5.007137 = 4*100*((161/1000+1)^(1/(4*94670856))-1).

FAQ

What is Rate of Compound Interest?

The Rate of Compound Interest formula is defined as the percent of the interest paid over the principal amount for the due period compounded n-times a year and is represented as r = n*100*((CI/P+1)^(1/(n*t))-1) or Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Compound Interest/Principal Amount of Compound Interest+1)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1). 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, 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, 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 & 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.

How to calculate Rate of Compound Interest?

The Rate of Compound Interest formula is defined as the percent of the interest paid over the principal amount for the due period compounded n-times a year is calculated using Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Compound Interest/Principal Amount of Compound Interest+1)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1). To calculate Rate of Compound Interest, you need No. of Times Interest Compounded Per Year (n), Compound Interest (CI), Principal Amount of Compound Interest (P) & Time Period of Compound Interest (t). With our tool, you need to enter the respective value for No. of Times Interest Compounded Per Year, Compound Interest, Principal Amount of Compound Interest & Time Period of Compound Interest and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rate of Compound Interest?

In this formula, Rate of Compound Interest uses No. of Times Interest Compounded Per Year, Compound Interest, Principal Amount of Compound Interest & Time Period of Compound Interest. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rate of Compound Interest = No. of Times Interest Compounded Per Year*100*((Final Amount of CI/Principal Amount of Compound Interest)^(1/(No. of Times Interest Compounded Per Year*Time Period of Compound Interest))-1)

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