Mastering Compound Interest Concepts

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

The formula for compound interest is $$A = P(1 + \frac{r}{n})^{nt}$$ , where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years the money is invested or borrowed.

Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal plus any interest that has already been added.

After 3 years, you will have approximately $1157.63.

The principal amount is the initial sum of money invested or loaned, before any interest is added.

The more frequently interest is compounded, the more interest will be earned, as interest is calculated on previously accumulated interest.

The simple interest rate is 5%.

The effective annual rate (EAR) is the interest rate on an investment or loan that is compounded over a period of time, expressed as an annual rate.

The total amount after 5 years is approximately $2005.13.

Increasing the principal amount will result in a higher total amount of interest earned, as interest is calculated based on the principal.