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

You want to have $35,000 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.

Your coin collection contains fifty-four 1941 silver dollars. Your grandparents purchased them for their face value when they were new. These coins have appreciated at a 10 percent annual rate. How much will your collection be worth when you retire in 2060?

Some time ago, Julie purchased eleven acres of land costing $36,900. Today, that land is valued at $214,800. How long has she owned this land if the price of the land has been increasing at 10.5 percent per year?

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?

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?

You have just received notification that you have won the $1.4 million first prize in the Centennial Lottery. However, the prize will be awarded on your 100^th birthday, 70 years from now. The appropriate discount rate is 8 percent. What is the present value of your winnings?

Steve just computed the present value of a $10,000 bonus he will receive in the future. The interest rate he used in this process is referred to as which one of the following?

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?

You want to have $1 million in your savings account when you retire. You plan on investing a single lump sum today to fund this goal. You are planning on investing in an account which will pay 7.5 percent annual interest. Which of the following will reduce the amount that you must deposit today if you are to have your desired $1 million on the day you retire? I. Invest in a different account paying a higher rate of interest. II. Invest in a different account paying a lower rate of interest. III. Retire later. IV. Retire sooner.

You are considering two separate investments. Both investments pay 7 percent interest. Investment A pays simple interest and Investment B pays compound interest. Which investment should you choose, and why, if you plan on investing for a period of 5 years?

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?

Alex invested $10,500 in an account that pays 6 percent simple interest. How much money will he have at the end of four years?

Luis is going to receive $20,000 six years from now. Soo Lee is going to receive $20,000 nine years from now. Which one of the following statements is correct if both Luis and Soo Lee apply a 7 percent discount rate to these amounts?

The process of determining the present value of future cash flows in order to know their worth today is called which one of the following?

You hope to buy your dream car four years from now. Today, that car costs $82,500. You expect the price to increase by an average of 4.8 percent per year over the next four years. How much will your dream car cost by the time you are ready to buy it?

In 1895, the winner of a competition was paid $110. 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?

Steve invested $100 two years ago at 10 percent interest. The first year, he earned $10 interest on his $100 investment. He reinvested the $10. The second year, he earned $11 interest on his $110 investment. The extra $1 he earned in interest the second year is referred to as:

Travis invested $9,250 in an account that pays 6 percent simple interest. How much more could he have earned over a 7-year period if the interest had compounded annually?

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?