A bank fixed-income manager has the following set of default risk free US Treasury bonds available to choose from for her portfolio: Tenor Price 100 2y 5y 10y Coupon 0.25% 0.875% 2.00% ModDur Convexity 1.994 5 4.88 26.5 9.023 90.8 100 100 The manager is considering three possible portfolios to invest in as follows: i.) Equally value-weighted portfolio of all three bonds, ii.) A bullet portfolio which is fully invested in the intermediate (5-year) bond, and iii.) A "barbell portfolio which is evenly divided between 2-year and 10-year bonds a.) Calculate the portfolio duration and convexity statistics for each portfolio b.) Calculate the expected change in portfolio value for an increase or decrease of 50 and 100 basis points for the bullet and barbell portfolios with a market value of $100 million and interpret the results. c.) How would you expect the equally weighted portfolio to perform under these scenarios relative to the other two