Part I:TVM Problems Part I : Single Cash Flow Annual Compounding

1. How much must be invested today to have $1,000 in two years if the interest rate is 5%?

2. What is the rate of return on an investment if you lend $1,000 and are repaid $1,254.70 two years later?

3. At an effective interest rate of 12%, a single sum invested today will double itself in approximately what time?

4. Your bank balance is exactly $10,000. Three years ago you deposited $7,938 and have not touched the account since. What annually compounded rate of interest has the bank been paying?

5. What interest rate will double invested money in five years?

6. If you invest the $10,000 you receive at graduation (age 22) in a mutual fund which averages a 12% annual return, how much will you have at retirement in 40 years?

7.Your grandparents put $1,000 into a savings account for you when you were born 20 years ago. This account has been earning interest at a compound rate of 7 percent. What is its value today?

8.The First National Bank has agreed to lend you $30,000 today, but you must repay $42,135 in 3 years. What rate is the bank charging you?

9. What present amount is equivalent to $100 received at the end of 5 years, given an interest rate of 16%?

10.Your brother, who is 6 years old, just received a trust fund that will be worth $25,000 when he is 21 years old. If the fund earns 10 percent interest compounded annually, what is the value of the fund today?

11. You deposited $2,000 seven years ago and havent touched the account since. Now you have $3,656 in the bank. What was the interest rate?

Part II: Single Cash Flow Multiple Compounding

12. Find the present value of $100 to be received at the end of two years if the discount rate is 12% compounded monthly.

13. $3,947 deposited four years ago has grown to $5,000. What semiannually compounded rate of interest has the bank been paying?

14. What is the future value of $1,000, placed in a saving account for four years if the account pays 8%, compounded quarterly?

15. Find the future value in two years of $100 that is deposited in an account, which pays 12%, compounded monthly. Part II: Multiple Cash Flows

16.You know you will need $25,000 at the end of 5 years. How much would you have to deposit annually, starting at the end of the first year, into an account earning 10% to accumulate the needed amount?

17.What is the amount of the equal annual installments for a 10-year, $10,000 loan with a 20% rate of interest?

18. What amount received at the end of 15 years is equivalent to $100 received at the end of each year for 15 years if the interest rate is 12%?

19.How much will you have at the end of 5 years in a European vacation account if you deposit $200 a month, and the account earns 12 percent compounded monthly? 20.Suppose you put $100 into a savings account today, the account pays 8% compounded semiannually, and you withdraw $50 one year after your initial deposit. What would your ending balance be 20 years after the initial $100 deposit was made, assuming that you make no additional deposits?

21. Joan is saving to open her own dress shop in 10 years. She currently has $10,000. In addition, she plans to save $2,000 per year for the next 5 years and $3,000 per year for the following 5 years. How much will Joan have in 10 years if she earns a 10 % return on her savings?

Part III: Effective Annual Interest Rate

22. Credit card issuers must by law print their Annual Percentage Rate (APR) on their monthly statements. If the APR is stated to be 15%, with interest paid monthly, what is the EFF% on the card?

23. If a bank pays a 6% nominal rate, with monthly compounding, on deposits, what effective annual rate does the bank pay?

24. What is the effective rate of interest on a CD that has a nominal rate of 9.5 percent with interest compounded monthly?

25. First Bank offers you a car loan at an annual interest rate of 10% compounded monthly. What effective annual interest rate is the bank charging you?