answer these questions please

4. Currently, the term structure is as follows: 1 -year bonds yield 7\%, 2-year bonds yield 8%,3-year bonds and longer-maturity bonds all yield 9%. An investor is choosing between 1-, 2-, and 3-year maturity bonds all paying annual coupons of 8%, once a year. Which bond should they buy if they strongly believe that at year-end the yield curve will be flat at 9% ? 5. Assume a bond with cash flows of $100 each year and a principal payment of $1,000 in five years and a current price of $960. What is a. its current yield? b. its yield to maturity? 6. Consider a bond with semi-annual coupon payments of $50, a principal payment of $1,000 in 5 years, and a price of $1,000. Assume that the yield curve is a flat 10%. What is the duration of the bond