Compound Interest Calculator

Compound Interest Calculator

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About The Compound Interest Calculations

Welcome to the compound interest calculations, calculate Future Wealth with our Compound Interest Calculator!

Frequently Asked Questions

What is compound interest?

Compound interest is the interest on a loan or deposit that is calculated based on both the initial principal amount and the accumulated interest from previous periods. In other words, compound interest is interest on interest.

How it works?

The compound interest calculator takes user-input values for principal, interest rate, time, and compounding frequency, then applies the compound interest formula to compute and display the future value of an investment or loan.

How is compound interest calculated?

The compound interest formula is given by:
A = P × ( 1 + r n ) ^ n t
where:
A : Future value of the investment/loan, including interest
P : Principal amount (the initial amount of money)
r : Annual interest rate (as a decimal)
n : Number of times that interest id compounded per year
t : Time the money is invested or borrowed for, in years

Now, let's break it down into simpler steps:
Step 1. Calculate the interest rate per compounding period: rn
Step 2. Add 1 to the interest rate per compounding period: 1+rn
Step 3. Raise the result to the power of the total number of compounding periods: (1 + rn)^nt
Step 4. Multiply the principal amount (P) by the result from step 3: P×(1+rn)^nt
The final result (A) is the future value of the investment/loan after the specified time period.

Example:
Let's say you invest $1,000 at an annual interest rate of 5%, compounded quarterly (four times a year) for 3 years. P = $1,000 r=0.05 (5% as a decimal) n=4 (compounded quarterly) t=3 years
A=1000×(1+ 4 * 0.05) 4×3
Now, you can calculate this to find the future value (A).

What is the purpose of using a compound interest calculator?

A compound interest calculator is a tool that helps individuals and businesses:
  • Calculate Future Value
  • It determines the future value of an investment or loan, considering compound interest.

  • Financial Planning
  • Assists in setting investment goals and understanding savings growth over time.
  • Comparision of Options
  • Allows for comparing returns on different investments or loan scenarios.
  • Loan Repayment Planning
  • Helps borrowers plan repayments by estimating future balances.
  • Educational Tools
  • Aids in understanding compound interest and its impact on financial growth.
  • Retirement Planning
  • Supports individuals in estimating future retirement savings.
In summary, it simplifies complex financial calculations, aiding decision-making and planning.