Question: You compiled pricing data for two semi-annual coupon payment Treasury bonds (Table 1). Each of the bonds will mature in two years, the Treasury spot
You compiled pricing data for two semi-annual coupon payment Treasury bonds (Table 1). Each of the bonds will mature in two years, the Treasury spot rates are shown in Table 2.
Table 1: Market data for selected bonds
| Asset | Coupon | Market price |
| Bond A | 2% | 93.348 |
| Bond B | 3% | 94.494 |
Table 2: Treasury spot rates
| Period | Rates |
| Six months | 3% |
| One year | 4% |
| One and half year | 5% |
| Two years | 6% |
1) Calculate the arbitrage-free prices of Bond A and Bond B
2) Which bond will provide an arbitrage opportunity and what is the arbitrage profit?
Next, you want to use the benchmark yield curve provided in Table 3 to identify investment opportunities associated with two annual coupon corporate bonds. The benchmark bonds pay coupons annually and the bonds are priced at par. Table 4 provides the market data of the two corporate bonds.
Table 3: Benchmark Par Curve
| Maturity (years) | Yield to Maturity |
| 1 | 5% |
| 2 | 6% |
| 3 | 7% |
Table 4: Market data for the corporate bonds
| Company | Coupon | Maturity (years) | Market price |
| X | 5.5% | 3 | 96.016 |
| Y | 6.5% | 3 | 97.988 |
3) Calculate the arbitrage-free prices of Bond X and Bond Y.
4) Which bond is mispriced and what is the amount of the mispricing?
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