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).