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Please answer the following questions and show work. What is the value of a 5-year bond with a coupon rate of 5% and a yield

Please answer the following questions and show work.

  1. What is the value of a 5-year bond with a coupon rate of 5% and a yield of 5%? Payments are semi-annual.
  2. A bond has a coupon rate of 3% and pays coupons semi-annually. The bond matures in 11 years and has a yield of 4%. What is the value of the bond?
  3. A 3-year zero coupon bond has a yield of 4% compounded semi-annually. What is its value today?
  4. A bond sells for $1000 and matures in 6 years. The bond makes semi-annual payments and has a yield of 3%. What is the coupon? What is the coupon rate?

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