Please complete the following problems. Please explain and show your work for all calculations:

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 bond's 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 bond's yield to maturity? Suppose a 10-year, 10 percent, semiannual coupon bond with a par value of $1,000 is currently selling for $1,135.90, producing a nominal yield to maturity of 8 percent. However, the bond can be called after 5 years for a price of $1,050. a. What is the bond's nominal yield to call (YTC)? b. If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why? Please complete the following problems. Show all your work and supporting calculations. The coupon rate on a bond is 7 5/8 %, and the bond is selling at 95. What is the bond's current yield? A bond with a coupon rate of 12.5% per year (payable semiannually ) has a remaining life of 7.5 years and a yield to maturity of 14%. What is the bond's current yield? Assume the bond is fairly priced. Find the current yield of the bond in the problem above assuming the yield to maturity is 9%. Two years ago, you bought a fifteen year bond at its face value of $1,000. The coupon rate on this bond is 9%, payable annually. Today (just after receiving the second annual coupon payment), the current yield on the bond is 7.5%. What is the value of the bond today