Question
Suppose that the annual yield to maturity for the 6-month and 1-year Treasury bill is 4.8% and 5.2%, respectively. These yields represent the 6-month and
Suppose that the annual yield to maturity for the 6-month and 1-year Treasury bill is 4.8% and 5.2%, respectively. These yields represent the 6-month and 1-year spot rates. Also assume the following Treasury yield curve (i.e. the price for each issue is $100) has been estimated for 6-month periods out to a maturity of 3 years:
YEARS OF MATURITY | ANNUAL YIELD TO MATURITY (BEY) |
1.5 | 5.6% |
2 | 6% |
2.5 | 6.6% |
3 | 7.2% |
1)Compute the 1.5-year, 2-year, 2.5-year, and 3-year spot rates.
2)Given the spot rates computed in the previous question and the 6-month and 1-year spot rates, compute the arbitrage-free value of a 3-year Treasury security with a coupon rate of 8%.
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