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Calculate Compound Interest

Formula for Compound Interest

Compound interest is a great thing when you are earning it! Compound interest is when a bank pays interest on both the principal (the original amount of money)and the interest an account has already earned.

To calculate compound interest use the formula below. In the formula, A represents the final amount in the account after t years compounded 'n' times at interest rate 'r' with starting amount 'p' .

formula for how to calculate compound interest

This page focuses on understanding the formula for compound interest ; if you're interested in taking a deeper dive into how compound interest works and exploring some real world examples, please read our article here.

Practice Problems

Problem 1

If you have a bank account whose principal = $1,000, and your bank compounds the interest twice a year at an interest rate of 5%, how much money do you have in your account at the year's end?

Problem 1 answer
Problem 2

If you start a bank account with $10,000 and your bank compounds the interest quarterly at an interest rate of 8%, how much money do you have at the year's end? (assume that you do not add or withdraw any money from the account)

Problem 1 answer
Problem 3

The first credit card that you got charges 12.49% interest to its customers and compounds that interest monthly. Within one day of getting your first credit card, you max out the credit limit by spending $1,200.00. If you do not buy anything else on the card and you do not make any payments, how much money would you owe the company after 6 months?

Note: since the duration of time is half of a year, the value of t is ½.

6 months is half of a year, and t in the compound interest formula is measured in years. Problem 1 answer
Problem 4

You win the lottery and get $1,000,000. You decide that you want to invest all of the money in a savings account. However, your bank has two different plans.

Plan 1

The bank gives you a 6% interest rate and compounds the interest each month.

Plan 2

The bank gives you a 12% interest rate and compounds the interest every 2 months.

Question: In 5 years from now, which plan will provide you with more money.

How Compound Interest works Next to Compound Interest Calculator