Compound Interest and Investment Calculations

This video tutorial covers the concept of compound interest, explaining its formula and components such as future value, principal, rate, time, and compounding periods. It includes examples of calculating future values for investments with different compounding frequencies and demonstrates how to find the present value of an account. The tutorial emphasizes the importance of understanding the order of operations when using the formula.

What is compound interest?

• Interest earned on a fixed amount

• Interest earned on both the initial principal and the accumulated interest

• Interest earned on the initial principal only

• Interest earned on a decreasing principal

In the compound interest formula, what does 'P' represent?

• Number of compounding periods

• Rate of interest

• Principal or present value

• Future value

If the annual interest rate is 5%, what is 'R' in the compound interest formula?

• 0.5

• 0.005

• 5

• 0.05

How many compounding periods are there in a year if interest is compounded quarterly?

• 2

• 4

• 6

• 12

Jamie invests $3,155 at an annual interest rate of 4% compounded quarterly. What is the account balance after 5 years?

• $3,600.00

• $3,500.00

• $3,849.70

• $4,000.00

What is the exponent in the compound interest formula for Jamie's investment if the time period is 5 years and interest is compounded quarterly?

• 20

• 10

• 5

• 25

Robin invests $12,000 at an annual interest rate of 6% compounded quarterly. What is the account balance after 11 quarters?

• $14,000.00

• $14,135.39

• $13,500.00

• $15,000.00

How many years are equivalent to 11 quarters?

• 3.25

• 2.5

• 2.75

• 3

Ned's savings account has a current balance of $6,000. If the account was opened 5 years ago with an annual interest rate of 1.8% compounded monthly, what was the opening balance?

• $5,500.00

• $5,483.96

• $5,600.00

• $5,450.00

In the context of finding the present value, what does 'A' represent in the formula?

• Rate of interest

• Number of compounding periods

• Future value

• Principal or present value