Exam 5: Introduction to Valuation: The Time Value of Money

You want to deposit sufficient money today into a savings account so that you will have $1,000 in the account three years from today. Explain why you could deposit less money today if you could earn 3.5 percent interest rather than 3 percent interest.

You are investing $100 today in a savings account at your local bank. Which one of the following terms refers to the value of this investment one year from now?

You're trying to save to buy a new $160,000 Ferrari. You have $56,000 today that can be invested at your bank. The bank pays 6 percent annual interest on its accounts. How many years will it be before you have enough to buy the car? Assume the price of the car remains constant.

Your father invested a lump sum 26 years ago at 4.25 percent interest. Today, he gave you the proceeds of that investment which totaled $51,480.79. How much did your father originally invest?

Terry is calculating the present value of a bonus he will receive next year. The process he is using is called:

What is the future value of $7,189 invested for 23 years at 9.25 percent compounded annually?

One year ago, you invested $1,800. Today it is worth $1,924.62. What rate of interest did you earn?

Suppose you are committed to owning a $140,000 Ferrari. You believe your mutual fund can achieve an annual rate of return of 9 percent and you want to buy the car in 7 years. How much must you invest today to fund this purchase assuming the price of the car remains constant?

What is the present value of $150,000 to be received 8 years from today if the discount rate is 11 percent?

This afternoon, you deposited $1,000 into a retirement savings account. The account will compound interest at 6 percent annually. You will not withdraw any principal or interest until you retire in forty years. Which one of the following statements is correct?

You own a classic automobile that is currently valued at $147,900. If the value increases by 6.5 percent annually, how much will the automobile be worth ten years from now?

You collect old coins. Today, you have two coins each of which is valued at $250. One coin is expected to increase in value by 6 percent annually while the other coin is expected to increase in value by 4.5 percent annually. What will be the difference in the value of the two coins 15 years from now?

Martin invested $1,000 six years ago and expected to have $1,500 today. He has not added or withdrawn any money from this account since his initial investment. All interest was reinvested in the account. As it turns out, Martin only has $1,420 in his account today. Which one of the following must be true?

You invested $1,650 in an account that pays 5 percent simple interest. How much more could you have earned over a 20-year period if the interest had compounded annually?

Andy deposited $3,000 this morning into an account that pays 5 percent interest, compounded annually. Barb also deposited $3,000 this morning into an account that pays 5 percent interest, compounded annually. Andy will withdraw his interest earnings and spend it as soon as possible. Barb will reinvest her interest earnings into her account. Given this, which one of the following statements is true?

Sue and Neal are twins. Sue invests $5,000 at 7 percent when she is 25 years old. Neal invests $5,000 at 7 percent when he is 30 years old. Both investments compound interest annually. Both Sue and Neal retire at age 60. Which one of the following statements is correct assuming that neither Sue nor Neal has withdrawn any money from their accounts?

You are depositing $1,500 in a retirement account today and expect to earn an average return of 7.5 percent on this money. How much additional income will you earn if you leave the money invested for 45 years instead of just 40 years?

Suppose that the first comic book of a classic series was sold in 1966. In 2012, the estimated price for this comic book in good condition was about $340,000. This represented a return of 27 percent per year. For this to be true, what was the original price of the comic book in 1966?

You have just made a $1,500 contribution to your individual retirement account. Assume you earn a 12 percent rate of return and make no additional contributions. How much more will your account be worth when you retire in 25 years than it would be if you waited another 10 years before making this contribution?

You are scheduled to receive $30,000 in two years. When you receive it, you will invest it for 5 more years, at 8 percent per year. How much money will you have 7 years from now?