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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