April 2019
Intermediate to advanced
426 pages
11h 13m
English
Let's illustrate the bootstrapping of the yield curve with an example. The following table shows a list of bonds with different maturities and prices:
|
Bond face value in dollars |
Time to maturity in years |
Annual coupon in dollars |
Bond cash price in dollars |
|---|---|---|---|
| 100 | 0.25 | 0 | 97.50 |
| 100 | 0.50 | 0 | 94.90 |
| 100 | 1.00 | 0 | 90.00 |
| 100 | 1.50 | 8 | 96.00 |
| 100 | 2.00 | 12 | 101.60 |
An investor in a three-month zero-coupon bond today at $97.50 would earn interest of $2.50. The three-month spot rate can be calculated as follows:

Thus, the 3-month zero rate is 10.127% with continuous compounding. The spot rates of ...