Consider that you have in your portfolio a 3-year 3% coupon bond with face value of $100. The coupons of this bond are paid semi-annually. We assume that the current yield to maturity on the bond is 4% per annum with continuous compounding. a. (10 points) Could you please first describe the two concepts of bond duration and convexity? Then, please compute the duration and the convexity of the bond described above? b. (10 points) You expect a steepening of the interest rates yield curve very soon, either through a bull steepening or a bear steepening. Could you please first define these two market phenomena and then propose strategies taking advantage of such market environments given your existing portfolio?