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?

  • $4,551,172

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 100th birthday, 70 years from now. The appropriate discount rate is 8 percent. What is the present value of your winnings?

  • $6,404.20

Imprudential, Inc. has an unfunded pension liability of $850 million that must be paid in 25 years. To assess the value of the firm’s stock, financial analysts want to discount this liability back to the present. The relevant discount rate is 6.5 percent. What is the present value of this liability?

  • $176,067,311

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.

  • 18.02 years

Assume the average vehicle selling price in the United States last year was $41,996. The average price 9 years earlier was $29,000. What was the annual increase in the selling price over this time period?

  • 4.20 percent

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?

  • 9.00 percent

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?

  • age 30

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?

  • 17.64 years

Fourteen years ago, your parents set aside $7,500 to help fund your college education. Today, that fund is valued at $26,180. What rate of interest is being earned on this account?

  • 9.34 percent

Fifteen years ago, Jackson Supply set aside $130,000 in case of a financial emergency. Today, that account has increased in value to $330,592. What rate of interest is the firm earning on this money?

  • 6.42 percent

Penn Station is saving money to build a new loading platform. Two years ago, they set aside $24,000 for this purpose. Today, that account is worth $28,399. What rate of interest is Penn Station earning on this investment?

  • 8.78 percent

Sixteen years ago, Alicia invested $1,000. Eight years ago, Travis invested $2,000. 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?

  • One year ago, Alicia's investment was worth less than Travis' investment.

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?

  • 11.78 percent
According to the Rule of 72, you can do which one of the following?
  • double your money in 8 years at 9 percent interest

Theo needs $40,000 as a down payment for a house 6 years from now. He earns 3.5 percent on his savings. Theo can either deposit one lump sum today for this purpose or he can wait a year and deposit a lump sum. How much additional money must he deposit if he waits for one year rather than making the deposit today?

  • $1,138.90

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?

  • $3,280.78

A year ago, you deposited $30,000 into a retirement savings account at a fixed rate of 5.5 percent. Today, you could earn a fixed rate of 6.5 percent on a similar type account. However, your rate is fixed and cannot be adjusted. How much less could you have deposited last year if you could have earned a fixed rate of 6.5 percent and still have the same amount as you currently will when you retire 38 years from today?

  • $9,234.97 less

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?

  • $360.43