Chapter 5: Time Value of Money (Annuities)
5. Solve for future value of an annuity: If you deposit $500 each month (at the end of the month) into an account, how much will be in the account after 8 years if the interest earned is a nominal 6% per year (compounded monthly)?
6. Present value of an annuity: What is the highest price car you can afford if you want your monthly payments to be $300 a month and you can put down $2,500? The interest rate is a nominal 4% per year compounded monthly. You want to make payments over a 5-year period.
7. Solve for interest in an annuity: You started saving $800 a month (at the end of each month) 20 years ago. Today you notice the balance on the account is now $900,000. What is the nominal interest rate you earned on your savings?
8. Solve for number of periods in an annuity: You have $15,000 saved today and plan on saving another $400 a month. You want the account to be worth $1.8 million. How long will it take to reach your goal if the interest rate is 8% per year compounded monthly?
9. Effective annual rate: A credit card charges you an APR of 14% per year with monthly compounding. What is the Effective Annual Rate?