Understanding Compound Interest and Annuities

What is the formula for calculating compound interest?

• A = P (1 + r/n)^t

• A = P e^(rt)

• A = P (1 + r)^(nt)

• A = P (1 + r/n)^(nt)

If you invest $1,000 at an annual interest rate of 5% compounded annually for 3 years, what will be the total amount?

• 1200.00

• 1157.63

• 1000.00

• 1100.50

Which of the following is a key difference between simple interest and compound interest?

• Compound interest is always lower than simple interest.

• Simple interest is calculated on the total amount including interest.

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

• Simple interest can be compounded annually.

If you have an annuity that pays $200 at the end of each year for 5 years, what is the total amount received?

• 800

• 1200

• 1000

• 500

What is the future value of an investment of $2,000 at an interest rate of 4% compounded annually for 5 years?

• 2500.00

• 2300.00

• 2433.31

• 2000.00

If you invest $500 at a 6% annual interest rate compounded quarterly, what will be the amount after 2 years?

• 550.00

• 563.08

• 600.00

• 575.50

Which of the following statements about annuities is true?

• Annuities can only be purchased by individuals over the age of 65.

• Annuities can provide a steady income stream.

• Annuities are a type of insurance that guarantees a death benefit.

• Annuities are only available as lump-sum payments.

If you want to find the future value of an annuity, which formula would you use?

• FV = Pmt × (n / r)

• FV = Pmt × (((1 + r)^n - 1) / r)

• FV = Pmt × (1 + r)^n

• FV = Pmt × (r / (1 + r)^n)

What is the present value of an annuity that pays $300 annually for 4 years at a discount rate of 5%?

• 950.25

• 1200.50

• 800.00

• 1063.79

If you invest $1,500 at a 3% interest rate compounded monthly, how much will you have after 1 year?

• 1600.00

• 1545.60

• 1500.00

• 1550.50