1. You check your credit card balance, and notice that the interest rate is quoted as 17.8% APR. You also know that interest is compounded monthly. What is the Effective Annual Rate on your credit card? NOTE: For this question you MUST use decimals. Enter your answer as a percentage, rounded to two decimals, and without the percentage sign ('%'). For example, if your answer is 0.123456, then it is equivalent to 12.35%, so you should enter 12.35 as the answer.
2. It is now the beginning of the year. Assume that, starting at the end of the year, you will make deposits of $216 each year into a savings account. You will make a total of 12 yearly deposits. If the savings account interest rate is 14%, how much money will you have at the end of year 12? (In other words, what is the future value of this annuity?)
3. Assume that you wish to make annual deposits into a savings account. The interest rate offered by the bank is 8%, and you plan to save for the next 7 years. If your goal is for the present value of your savings to be equal to $3,600, how much money must you deposit every year?
4. You have a savings account, and you expect that in 8 years you'll have $8,200 saved in it. If the discount rate is 5%, what is the present value of that account?
5. It is now the beginning of the year. Assume that, starting at the end of the year, you will make deposits of $329 each year into a savings account. You will make a total of 10 yearly deposits. If the savings account interest rate is 5%, what is the present value of this savings plan?
6. It is now the beginning of the year. Assume that, starting at the end of the year, you will make deposits of $128 each year into a savings account. You will make a total of 10 yearly deposits. Additionally, in 2 years your parents will give you a one-time gift worth $1,060 which you will immediately deposit in your account. If the savings account interest rate is 14%, what is the present value of this savings plan?
7. It is now the beginning of the year (year 0). Assume that, starting at the end of the year 3 (NOT next year), you will make deposits of $226 each year into a savings account. You will make a total of 5 annualdeposits. If the savings account interest rate is 2%, what is the present value of this savings plan?
8. You have just made an investment worth $1,034. In 10 years, you expect to receive $2,548. What would be the rate of return generated by this investment?
9. You made an investment over the past year, and your nominal return was 11.4%. Over the same year, the rate of inflation was 3.4%. What was the real rate of return for this investment?
10. Assume you've just received a bonus at work of $1,127. You deposit that money in the bank today, where it will earn interest at a rate of 9% per year. How much money will you have in the account after 4 years?
11. Today you make a single deposit in your savings account of $2,658. The bank's interest rate is 11% APR, compounded monthly. How much money will you have in 4 years?
12. You make an investment today (year 0), and you expect to receive cash flows of $1,979, $1,587, and $3,274, in years 1, 2 and 3, respectively. If the discount rate is 8%, what is the present value of this investment?
13. You've just been awarded a disabilitypension that will pay you $1,091 annuallyforever. If the discount rate is 11%, what is the present value of this pension?