Consider the following STRIP Bonds, the settlement date is 12/10/2022: Maturity STRIP Price YTM/spot rate 6/15/2023 96
Question:
Consider the following STRIP Bonds, the settlement date is 12/10/2022:
Maturity | STRIP Price | YTM/spot rate |
6/15/2023 | 96 | 8.11% |
12/15/2023 | 92 | 8.57% |
6/15/2024 | 89 | 8.00% |
12/15/2024 | 85 | 8.40% |
6/15/2025 | 81 | 8.74% |
12/15/2025 | 75 | 10.02% |
6/15/2026 | 70 | 10.68% |
12/15/2026 | 68 | 10.08% |
6/15/2027 | 65 | 10.01% |
12/15/2027 | 63 | 9.65% |
6/15/2028 | 58 | 10.38% |
12/15/2028 | 55 | 10.45% |
A. An insurance company projects claims of $250m, $300m, and $500m, 3, 4, and 5 years later. If the company wants to match the projected liabilities with STRIPs, how much would the strategy cost today? Will the strategy protect the company from cash-flow risk?
B. Using the above spot rates, what is the price of a 5-year, 4.5% bond? Assume semiannual interest payments. What is the YTM of the 5-year T-bond?
C. If the 5-year T-bond is selling for 110, is there an arbitrage opportunity?
D. How much is the arbitrage profit? What are the required trades to exploit the arbitrage opportunity?
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock