Compound interest on savings examples

What is compound interest?

Interest calculated on the initial principal and also on the accumulated interest from previous periods.

Formula for compound interest?

The formula is $\displaystyle A = P(1 + r/n)^{nt}$, where P = principal, r = rate, n = times compounded, t = years.

True or false: Compound interest grows faster than simple interest.

True, because interest earns interest over time.

Example of compound interest calculation?

If you invest $\displaystyle 1,000 at 5$A = 1000(1 + 0.05)^3 = $1157.63.

Difference between compound and simple interest?

Simple interest is calculated only on the principal, while compound interest is calculated on principal + interest.

What does principal mean?

The initial sum of money invested or loaned, before interest.

Fill in the blank: The more frequently interest is compounded, the ____ the final amount.

higher

What is the effect of a higher interest rate?

A higher interest rate increases the amount of interest earned on savings over time.

True or false: Compounding can occur daily, monthly, or annually.

True, because compounding frequency affects the total interest earned.

What is an example of a compounding frequency?

Monthly compounding means interest is added to the principal 12 times a year.

Scenario: You invest $2,000 at 6% for 5 years. Calculate total.

$\displaystyle A = 2000(1 + 0.06)^5 =$2687.50.

What is the impact of time on compound interest?

More time allows the interest to accumulate, leading to greater overall returns.

True or false: Compounding is beneficial for long-term savings.

True, because it leads to exponential growth of savings.

What is annual percentage yield (APY)?

APY represents the real rate of return on an investment, accounting for compounding.

Fill in the blank: The longer you leave your money, the ____ it can grow.

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