Question
The following information is available on US treasury securities: Period Security Maturity Annual Coupon Rate Price 1 T-Bill 6 months 0 98.7654 2 Zero Coupon
The following information is available on US treasury securities:
Period | Security | Maturity | Annual Coupon Rate | Price |
1 | T-Bill | 6 months | 0 | 98.7654 |
2 | Zero Coupon Bond | 1 years | 0 | 97.3057 |
3 | Note | 1.5 years | 6% | 104.3828 |
4 | Note | 2 years | 6.25% | 105.3271 |
Answer the following with accuracy of four digits after the decimal points for prices and rates.
a. Compute the four period spot rates (per annum). Plot the yield curve.
b. Price a bond with 12% coupon rate and 2 years to maturity. Compute that bond yield.
c. Compute the four single period forward rates. Use the forward rates to price at a six months T-bill with $100,000 par value; There is such a T-bill at each of the four time periods (0,1, 2 and 3).
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