Question: 1. Compute the price, the yield and the continuously compounded yield for the following Treasury bills. For the 1-year Treasury bill also compute the semi-annually
1. Compute the price, the yield and the continuously compounded yield for the following Treasury bills. For the 1-year Treasury bill also compute the semi-annually compounded yield.
(a) 4-week with 3.48% discount (December 12, 2005)
(b) 3-month with 4.76% discount (May 8, 2007)
Yield Curve on March 15, 2000
| Maturity | Yield | Maturity | Yield | Maturity | Yield |
| 0.25 | 6.33% | 2.75 | 6.86% | 5.25 | 6.39% |
| 0.50 | 6.49% | 3.00 | 6.83% | 5.50 | 6.31% |
| 0.75 | 6.62% | 3.25 | 6.80% | 5.75 | 6.24% |
| 1.00 | 6.71% | 3.50 | 6.76% | 6.00 | 6.15% |
| 1.25 | 6.79% | 3.75 | 6.72% | 6.25 | 6.05% |
| 1.50 | 6.84% | 4.00 | 6.67% | 6.50 | 5.94% |
| 1.75 | 6.87% | 4.25 | 6.62% | 6.75 | 5.81% |
| 2.00 | 6.88% | 4.50 | 6.57% | 7.00 | 5.67% |
| 2.25 | 6.89% | 4.75 | 6.51% | 7.25 | 5.50% |
| 2.50 | 6.88% | 5.00 | 6.45% | 7.50 | 5.31% |
Yields calculated based on data from CRSP (Daily Treasuries).
2.Using the semi-annually compounded yield curve in the above Table, price the following securities:
(a) 5-year zero coupon bond (b) 7-year coupon bond paying 15% semiannually
(c) 2 1/2-year floating rate bond with zero spread and annual payments
Yield Curve on May 15, 2000
| Maturity | Yield | Maturity | Yield | Maturity | Yield |
| 0.25 | 6.33% | 2.75 | 6.86% | 5.25 | 6.39% |
| 0.50 | 6.49% | 3.00 | 6.83% | 5.50 | 6.31% |
| 0.75 | 6.62% | 3.25 | 6.80% | 5.75 | 6.24% |
| 1.00 | 6.71% | 3.50 | 6.76% | 6.00 | 6.15% |
| 1.25 | 6.79% | 3.75 | 6.72% | 6.25 | 6.05% |
| 1.50 | 6.84% | 4.00 | 6.67% | 6.50 | 5.94% |
| 1.75 | 6.87% | 4.25 | 6.62% | 6.75 | 5.81% |
| 2.00 | 6.88% | 4.50 | 6.57% | 7.00 | 5.67% |
| 2.25 | 6.89% | 4.75 | 6.51% | 7.25 | 5.50% |
| 2.50 | 6.88% | 5.00 | 6.45% | 7.50 | 5.31% |
Notes: Yields are calculated based on data from CRSP.
3. On May 15, 2000 the semi-annually compounded yield curve was as in the above Table. Calculate the convexity for the following securities: (a) 4-year zero coupon bond (b) 2-year coupon bond paying 3% quarterly
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