Please complete the following problems. Please explain and show your work for all calculations: You intend to purchase a 10-year, $1,000 face value bond that pays interest of $60 every six months. If the yield to maturity is 10% with semiannual compounding, how much should you be willing to pay for this bond? A ten year bond with a coupon rate of 12% (payable annually) and a face value of $1,000 is selling for $1,192.50 today. What is the bonds yield to maturity? A ten year bond with an annual coupon rate of 12% payable semi-annually is selling for $1,059.75 today. Its face value is $1,000. What is the bonds yield to maturity?