Compound Interest Calculator

Compound Interest Calcultor can quickly calculate the future value of your investment. Enter the value of principal amount, rate of interest, period of time, compounding frequency and find out how much your saving can grow in future. Investing money where the returns are compounded, is one of the smarter move to increase your wealth and finance over time.

Compound Interest
Compound Interest is an extra amount of money generated from a Principal amount of money and previously accumulated Interest.In simple interest the interest rate is applied on the principal amount through out the time period but in case of compound interest, in every compounding time period(n), the interest is applied on the previously calculated interest and the principal.This makes the function of compound interest exponential in nature.
Formula:


CI= Compound Interest
P= Principal Amount
r= Rate of Interest
t= Time of Compounding
n= Frequency of Compounding
Principal Amount(p)

Principal often called initial amount of money, is the money that is borrowed, invested, or deposited. Interest Rate is always applied on the principal amount for calculating any form of interest rates.
Example:
if you take a loan of 200$ from a bank then 200$ is the principal amount.

Time - years (t)

Time is the amount of duration the money is borrowed or invested. More the time more the interest amount will be. Generally we represent time in years while calculating the simple interest.

Rate of Interest %(r)

Rate of Interest is the Percentage on which the Interest Amount is calculated.Genrally we represent rate of interest in Percentage Per Year. Rate is the main factor in determining how much interest we are going to earn or to pay to the bank.

Frequency of Compounding %(n)
Frequency of Compounding is the number of time your interest rate is getting matured within a year. It is normally denoted by n. The more the frequency of compounding the more the interest. if your interest is compounding:
annually n=1
semi-annuallyn=2
quarterlyn=4
monthlyn=12
dailyn=365
How to calculate Investment Doubling time?
Time of doubling is the number of years your investment is going to be doubled. Since we know the formula of Amount accumulated in a compound interest is,

We want the time for our amount to be double of the Principal ie,
Amount=2*P
so,


Taking Log on both sides we get,

Using power law of log we get,

Now, solving for value of t we get,