Problem 1. Why is it necessary to know about time value of money concepts? Why can't you just make judgments about future cash flows based purely on the size of the cash flows?
Problem 2. Define Future Value.
Problem 3. Define Present Value.
Problem 4. What are annuities?
Problem 5. (calculating future value) You buy an 8 year, 7% CD for $1,000. Interest is compounded annually. How much is it worth at maturity?
Problem 6. (calculating present value) What's the present value of $10,000 to be received in 6 years? (Your required rate of return is 10% a year.)
Problem 7. (calculating the rate of return) A friend promises to pay you $500 three years from now if you loan him $400 today. What interest rate is your friend offering you?
Problem 8. (calculating the future value of an annuity) If you invest $100 a year for 20 years at 6% annual interest, how much will you have at the end of the 20th year?
Problem 9. (calculating the present value of an annuity) How much would you be willing to pay today for an investment that pays $700 a year at the end of the next 5 years? (Your required rate of return is 6% a year.)
Problem 10. (Rate of return of an annuity) You would like to have $1,000,000 40 years from now, but the most you can afford to invest each year is $1,000. What annual rate of return will you have to earn to reach your goal?
Problem 11. (Monthly compounding) If you bought a $1,000 face value CD that matured in six months, and which was advertised as paying 6% annual interest, compounded monthly, how much would you receive when you cashed in your CD at maturity?
Problem 12. (Annualizing a monthly rate) Your credit card statement says that you will be charged 1.03% interest a month on unpaid balances. What is the Effective Annual Rate (EAR) being charged?
Problem 13. (Monthly loan payment) Best Buy has a flat-screen HDTV on sale for $1,799. If you could borrow that amount from Carl's Credit Union at 6% for 1 year, what would be your monthly loan payments?
Problem 14. (PV of a perpetuity) If your required rate of return was 6% a year, how much would you pay today for $100 a month forever? (that is, the stream of $100 monthly payments goes on forever, continuing to be paid to your heirs after your death)
Problem 15. (PV of an uneven cash flow stream) what is the PV of the following project?
(Assume r = 7%)
Year Cash Flow
1 $1,000
2 $2,000
3 $3,000
4 $4,000
Problem 16. (FV of an uneven cash flow stream) what is the FV at the end of year 4 of the following project? (Assume r = 7%)
Year Cash Flow
1 $1,000
2 $2,000
3 $3,000
4 $4,000
Problem 17. Define the Capital Asset Pricing Model (CAPM).
Problem 18. Define "beta" as it applies to common stocks.
Problem 19. You have two stocks in your portfolio. $20,000 is invested in a stock with a beta of 0.6 and $40,000 is invested in a stock with a beta of 1.4. What is the beta of your portfolio?
Problem 20. If the risk-free rate is 2% and the expected rate of return on the stock market is 7%, what is the required rate of return on a stock with a beta of 1.4 according to the CAPM?