MGT 890: Valuation and Investment

Fall 2000:  Homework Set #1

Due Thursday November 9

1. Consider two projects. The first has a high payoff today and a low payoff next period. The second has a low payoff today and a high payoff next period.
A. Using a diagram explain why investors will not agree on which project is superior in the absence of a capital market.
B. Now show why both investors will agree on which project to select when there does exist a capital market.
C. Explain why present value coincides with the choices investors will make in the presence of a capital market.

2. If the interest rate equal 12% calculate the present value of the following cash flow streams.

Period

1 2 3 4
Project 1 0 0 10 0
Project 2 -30 0 0 50
Project 3 40 -20 30 0
Project 4 -30 -40 70 10

3. In which of the following cases is the number called an "interest rate" actually an interest rate?
A. The bank states that you will earn an interest rate of 6% on your savings and calculates your daily balance by taking your balance from the previous day and multiplying it by 1+.06/365.
B. An automobile company offers to lend you $10,000 for three years at 1%. At the end of each year they ask you to pay $3,400.22.
C. The bank says that if you purchase a six month certificate of deposit from them for $5,000 that pays 7% interest they will return $5172.04.
D. A bond dealer offers to sell you an 8% bond for $1,000. The bond pays $40 every six months for five years (ten payments). The last payment will also include the return of your $1,000 investment (so the last payment will equal $1,040).