(6 points) Suppose that the current term structure has the following annual yields convert-\ ible semiannually on zero coupon bonds.\ a) Determine the price of a 1-year ZCB with face value 100. [Sol: 87.344]\ b) Determine the price of a 1-year coupon bond with coupon rate of

10%

(paid semian-\ nually) and face value 100 . [Sol: 96.473]\ c) Determine the (nominal) yield to maturity of the coupon bond as in point b). [Sol:\

13.898%

]

(6 points) Suppose that the current term structure has the following annual yields convertible semiannually on zero coupon bonds. a) Determine the price of a 1-year ZCB with face value 100. [Sol: 87.344] b) Determine the price of a 1-year coupon bond with coupon rate of 10% (paid semiannually) and face value 100 . [Sol: 96.473] c) Determine the (nominal) yield to maturity of the coupon bond as in point b). [Sol: 13.898%]