Fall 2000: Homework Set #2
Due Thursday November 30
1. Fill in the missing data for the table below.
|
Short Time Period |
Interest Rate | Long Time Period | Interest Rate |
| 1 Month | .01 | 1 Year (365 days) | ? |
| 5 Days | .002 | Month of February | ? |
| 8 Weeks | ? | January 1 - June 30 | .04 |
| 2 Years | ? | 23 Years | 2.53 |
2.
A. Use the following bonds to calculate the forward rate for the next
23 months. Assume each bond has a face value of $1,000 and that the quoted
prices include accrued interest. All bond prices and coupons are in units
of 100.
| Period | Price | 5 Months | 11 Months | 17 Months | 23 Months |
| Bond A | 100.962 | 105 |
|
|
|
| Bond B | 100.023 | 4.5 | 104.5 |
|
|
| Bond C | 105.56 | 6 | 6 | 106 | |
| Bond D | 97.481 | 4 | 4 | 4 | 104 |
B. Use your results from part 1 to calculate spot rates going out 5, 11, 17 and 23 months.
3. You are planning to develop a shopping mall. It will take two years to build, and cost $20 million per year to construct with payments due in years 0 and 1. Once built, you expect to rent space in it for $4 million per year for 10 years, via long term leases. After the leases expire you intend to continue renting the building out, but at the reduced rate of $3 million per year forever. If the appropriate interest rate equals 12% what is the present value of this project?
4. Big Motors Inc., is running a promotion: BUY our NEW 2000 BigUm Machine! Your choice our INCREDIBLE lease of $2,000 down, $550 per month, with a residual value of $20,000 in three years (total of 36 payments starting in month 1). OR get our 3 year 0% (THAT"S RIGHT WE SAID ZERO PERCENT!) loan. Just put $5,000 down and the car is YOURS for only $26,000! ( 36 monthly payments of $666.67.)
After a little bit of research you find that on average Big Motors’ BigUm car tends to sell for 1/3 of its original cash purchase price after three years. You also find out that another dealer will sell you the same car for $21,000 if you pay cash and that a bank will lend you the funds at an annual interest rate of 15%.
What should you do? Take the lease, take the loan, or pay cash? Be sure to show all of your calculations.