I. Consider a bond with 9% annual coupon, 5 years to maturity, and current price of $1,080. First compute the YTM of the bond. Based on the YTM compute the: . Duration of the bond and Modified Duration of the bond Obtain the approximate price change of the bond if the YTM increases by 20 basis points. 2. You are given the price of the following zero coupon bonds with maturities of 1, 2, and 3 years: ar 1 S 920.98 Year 2 844.00 Ye ear 3 $ 769.00 . Obtain the YTM for each of the bonds Obtain the Implicit Forward Rates (annualized rates): ori-2, or2.3, ori-3. . As an investment manager for USBB you expect to invest $10 million at the end of year 1 for 2 years. What do you today to lock in the investment returns? Show your actions today, and the cash flows in the future periods. As the corporate treasurer of XYZ corporation, you know that you will need to borrow $1 million for 1 year from the end of year 1. What do you do lock in the borrowing rate? Show your actions today, and the cash flows in the future periods