Part 2: A Bond Portfolio Suppose that the term structure of interest rates is: Interest rates are annual interest rates that are semi-annually compounded. 1. Calculate the price and modified duration of a 1 -year bond with a 6% coupon rate, with coupons paid semi-annually. The bond has a face value of $100. 2. Calculate the price and modified duration of a 2 -year bond with a 10% coupon rate, with coupons paid semi-annually. The bond has a face value of $100. 3. Calculate the modified duration of a portfolio that consists of one unit each of the bonds in Q1 and Q2. 4. Calculate the price and modified duration of an asset that pays the following cash flows