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

What is the formula for calculating Compound Interest?

Back

The formula is A = P(1 + r)^t, where A is the total amount, P is the principal amount, r is the interest rate, and t is the time in years.

Front

What does 'P' represent in the compound interest formula A = P(1 + r)^t?

Back

P represents the principal amount (the original amount of money).

Front

What does 'A' represent in the compound interest formula A = P(1 + r)^t?

Back

A represents the total amount of money accumulated after n years, including interest.

Front

What does 'r' represent in the compound interest formula A = P(1 + r)^t?

Back

r represents the annual interest rate (decimal).

Front

What does 't' represent in the compound interest formula A = P(1 + r)^t?

Back

t represents the time the money is invested or borrowed for, in years.

Front

If you invest $1000 at an interest rate of 5% compounded annually for 3 years, what will be the total amount?

Back

A = 1000(1 + 0.05)^3 = $1157.63.

Front

What is the difference between simple interest and compound interest?

Back

Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal plus any accumulated interest.

Front

How does compounding frequency affect the total amount in a compound interest scenario?

Back

The more frequently interest is compounded, the more total interest will be earned or paid.

Front

What is Exponential Growth in the context of compound interest?

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.