Question: There are five notes and one bond. Theoretical (not based on actual rates) ontherun Treasury yields for a 2/15/22 settlement date are given with the
There are five notes and one bond. Theoretical (not based on actual rates) ontherun Treasury yields for a 2/15/22 settlement date are given with the maturities. Assume each security is priced at par ($100).
Base Delta Y used for the below Duration/Convexity calculation is 10 basis points (0.10%)
Portfolio 1
| Weight | Note/Bond | Yield/Coupon | Duration | Convexity |
| 0 | 2 - Year Note | 1.25% | 1.97 | 4.88 |
| .25 | 3 - Year Note | 1.75% | 2.91 | 10.02 |
| .5 | 5 - Year Note | 2.25% | 4.7 | 25.16 |
| .25 | 7 - Year Note | 3.00% | 6.27 | 44.85 |
| 0 | 10 - Year Note | 3.40% | 8.42 | 82.28 |
| 0 | 30 - Year Bond | 4.20% | 16.97 | 405.89 |
Portfolio Duration: 4.647
Portfolio Convexity: 26.29
Portfolio Yield: 2.31%
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Portfolio 2
| Weight | Note/Bond | Yield/Coupon | Duration | Convexity |
| .73 | 2 - Year Note | 1.25% | 1.97 | 4.88 |
| 0 | 3 - Year Note | 1.75% | 2.91 | 10.02 |
| 0 | 5 - Year Note | 2.25% | 4.7 | 25.16 |
| 0 | 7 - Year Note | 3.00% | 6.27 | 44.85 |
| .16 | 10 - Year Note | 3.40% | 8.42 | 82.28 |
| .11 | 30 - Year Bond | 4.20% | 16.97 | 405.89 |
Portfolio Duration: 4.65
Portfolio Convexity: 61.37
Portfolio Yield: 1.92%
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QUESTION
1 ) Assume a 6month holding period and that you collect semiannual 1 coupon payment. Calculate the returns for portfolios 1 and 2 under the following 6 parallel yield curve shift scenarios:
Delta Y: +1.50%, +1.00%, +0.50%, 0.50%, 1.00%, 1.50%
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