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

On your ninth birthday,you received $300 which you invested at 4.5 percent interest,compounded annually.Your investment is now worth $756.How old are you today?

Your grandmother has promised to give you $5,000 when you graduate from college.She is expecting you to graduate two years from now.What happens to the present value of this gift if you delay your graduation by one year and graduate three years from now?

You would like to give your daughter $75,000 towards her college education 17 years from now.How much money must you set aside today for this purpose if you can earn 8 percent on your investments?

This morning,TL Trucking invested $75,000 to help fund a company expansion project planned for 4 years from now.How much additional money will the firm have 4 years from now if it can earn 5 percent rather than 4 percent on its savings?

Forty years ago,your mother invested $5,000.Today,that investment is worth $430,065.11.What is the average annual rate of return she earned on this investment?

Suppose that the first comic book of a classic series was sold in 1954.In 2000,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 1954?

Assume the total cost of a college education will be $300,000 when your child enters college in 16 years.You presently have $75,561 to invest.What rate of interest must you earn on your investment to cover the cost of your child's college education?

Your older sister deposited $5,000 today at 8.5 percent interest for 5 years.You would like to have just as much money at the end of the next 5 years as your sister will have.However,you can only earn 7 percent interest.How much more money must you deposit today than your sister did if you are to have the same amount at the end of the 5 years?

What is the present value of $150,000 to be received 10 years from today if the discount rate is 11 percent?

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Sue and Neal retire at age 60.Which one of the following statements is correct assuming that neither Sue nor Neal has withdrawn any money from their accounts?

Sixteen years ago,Alicia invested $500.Eight years ago,Travis invested $900.Today,both Alicia's and Travis' investments are each worth $2,400.Assume that both Alicia and Travis continue to earn their respective rates of return.Which one of the following statements is correct concerning these investments?

You expect to receive $9,000 at graduation in 2 years.You plan on investing this money at 10 percent until you have $60,000.How many years will it be until this occurs?

In 1895,the winner of a competition was paid $150.In 2006,the winner's prize was $70,000.What will the winner's prize be in 2040 if the prize continues increasing at the same rate?

Tracy invested $1,000 five years ago and earns 4 percent interest on her investment.By leaving her interest earnings in her account,she increases the amount of interest she earns each year.The way she is handling her interest income is referred to as which one of the following?

When you retire 40 years from now,you want to have $1.2 million.You think you can earn an average of 12 percent on your investments.To meet your goal,you are trying to decide whether to deposit a lump sum today,or to wait and deposit a lump sum 2 years from today.How much more will you have to deposit as a lump sum if you wait for 2 years before making the deposit?

Shelley won a lottery and will receive $1,000 a year for the next ten years.The value of her winnings today discounted at her discount rate is called which one of the following?

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 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're trying to save to buy a new $160,000 Ferrari.You have $58,000 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.

You want to have $25,000 saved 6 years from now to buy a house.How much less do you have to deposit today to reach this goal if you can earn 5.5 percent rather than 5 percent on your savings? Today's deposit is the only deposit you will make to this savings account.