The Darkroom Windowshade Company has 100,000 shares of stock outstanding. The investors in the firm own the following numbers of shares: investor 1 has 20,000 shares; investor 2 has 18,000 shares; investor 3 has 15,000 shares; investor 4 has 10,000 shares; investor 5 has 7,000 shares; and investors 6 through 11 have 5,000 shares each. What is the minimum number of investors it would take to vote to change the top management of the company? If investors 1 and 2 agree to vote together, can they be certain of always getting their way in how the company will be run?


Imagine that a $10,000 10-year bond was issued at an interest rate of 6 percent. You are thinking about buying this bond one year before the end of the 10 years, but interest rates are now 9 percent.

  1. Given the change in interest rates, would you expect to pay more or less than $10,000 for the bond?
  2. Calculate what you would actually be willing to pay for this bond.

Suppose Ford Motor Company issues a five-year bond with a face value of $5,000 that pays an annual coupon payment of $150.

  1. What is the interest rate Ford is paying on the borrowed funds?
  2. Suppose the market interest rate rises from 3 percent to 4 percent a year after Ford issues the bonds. Will the value of the bond increase or decrease?

How much money do you have to put into a bank account that pays 10 percent interest compounded annually to have $10,000 in 10 years?


Many retirement funds charge an administrative fee each year equal to 0.25 percent of managed assets. Suppose that Alexx and Spenser each invest $5,000 in the same stock this year. Alexx invests directly and earns 5 percent a year. Spenser invests in a managed retirement fund and earns 4.75 percent. After 30 years, how much more will Alexx have than Spenser?