5.) A bank fixed-income manager has the following set of default risk free US Treasury bonds available to choose from for her portfolio which are currently trading at par: Tenor 2y Coupon 0.25% 0.875% 2.00% Price 100 100 100 ModDur Convexity 1.994 5 4.88 26.5 9.023 90.8 5y 10y The manager is considering three possible portfolios as follows: 1.) Equally price-weighted portfolio of all three bonds, 2.) A "bullet" portfolio fully invested in the intermediate (5-year) bond, and 3.) A "barbell" portfolio evenly divided between long 2-year and 10-year bond positions. a.) Calculate the duration and convexity statistics for portfolios 1.) - 3.). b.) Calculate the impact of yield curve steepening on portfolios 1.) - 3.) if 10-year yields rise 50 bps, 2-year yields fall 50 bps and 5-year yields remain unchanged. c.) Create and describe a portfolio that would benefit from increased yield curve curvature using the US Treasury bonds given above. Show a numerical example to demonstrate this. 5.) A bank fixed-income manager has the following set of default risk free US Treasury bonds available to choose from for her portfolio which are currently trading at par: Tenor 2y Coupon 0.25% 0.875% 2.00% Price 100 100 100 ModDur Convexity 1.994 5 4.88 26.5 9.023 90.8 5y 10y The manager is considering three possible portfolios as follows: 1.) Equally price-weighted portfolio of all three bonds, 2.) A "bullet" portfolio fully invested in the intermediate (5-year) bond, and 3.) A "barbell" portfolio evenly divided between long 2-year and 10-year bond positions. a.) Calculate the duration and convexity statistics for portfolios 1.) - 3.). b.) Calculate the impact of yield curve steepening on portfolios 1.) - 3.) if 10-year yields rise 50 bps, 2-year yields fall 50 bps and 5-year yields remain unchanged. c.) Create and describe a portfolio that would benefit from increased yield curve curvature using the US Treasury bonds given above. Show a numerical example to demonstrate this