Compound Interest

Front

What is Compound Interest?

Back

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

Front

How is Compound Interest different from Simple Interest?

Back

Compound interest is calculated on the initial principal and also on the accumulated interest of previous periods, while simple interest is calculated only on the principal amount.

Front

What does 'compounded monthly' mean?

Back

Compounded monthly means that interest is calculated and added to the principal balance once every month.

Front

What does 'compounded semi-annually' mean?

Back

Compounded semi-annually means that interest is calculated and added to the principal balance twice a year.

Front

What is the formula for calculating Compound Interest?

Back

The formula is A = P(1 + 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.

Front

If you invest $1,000 at an interest rate of 5% compounded annually, how much will you have after 3 years?

Back

A = 1000(1 + 0.05/1)^(1*3) = $1,157.63.

Front

What is the effect of compounding frequency on the total amount of interest earned?

Back

The more frequently interest is compounded, the more interest will be earned on the investment.

Front

What is the principal in a compound interest scenario?

Back

The principal is the initial amount of money that is invested or loaned before interest is applied.

Front

How do you calculate the total amount after a certain number of years with compound interest?

Back

Use the formula A = P(1 + r/n)^(nt) to calculate the total amount after a certain number of years.

Front

What is the significance of the interest rate in compound interest?

Back

The interest rate determines how much interest will be earned on the principal over time; a higher rate results in more interest.