Calculating Compound Interest for a 3-Year Investment

This page provides a detailed example of how to calculate compound interest for a 3-year investment period. The problem presented involves determining the interest earned on a savings account over three years.

Example: Chloe places €5600 in a savings account at a rate of 4.5% interest per annum. How much interest does Chloe earn after 3 years?

The solution is broken down into clear steps, making it easy to follow the calculation process. First, the annual interest rate is converted to a decimal (1.045) by adding 100% to the given rate of 4.5%. This step is crucial for using the compound interest formula.

Highlight: The compound interest formula used is: Principal × (1 + Interest Rate)^Time

In this case, the calculation is 5600 × 1.045³, which equals €6390.5303. This result is then rounded to €6390.53, representing the total amount after 3 years of compound interest.

Vocabulary: Per annum - Latin for "per year," commonly used in financial contexts to describe annual rates.

To find the interest earned, an important step is highlighted: subtracting the initial principal from the final amount. This gives us €6390.53 - €5600 = €790.53, which is the total interest earned over the 3-year period.

Definition: Compound Interest - Interest calculated on the initial principal and the accumulated interest from previous periods.

This example serves as an excellent demonstration of how to use a compound interest calculator or create one in Excel. It's particularly useful for those learning about monthly compound interest calculators or seeking to understand how compound interest differs from simple interest calculators.

Quote: "Remember this take-away step" - This note emphasizes the importance of subtracting the principal to find the actual interest earned.

By following this example, students can learn to calculate compound interest for various scenarios, such as determining how much interest will be earned on €50,000 in a year or calculating the growth of €15,000 at 15% compounded annually for 5 years. This knowledge is valuable for personal finance, investment planning, and understanding the power of compound interest in long-term savings strategies.