A six-month zero-coupon bond has a ytm of 5%, while a one-year 5% coupon bond has a

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A six-month zero-coupon bond has a ytm of 5%, while a one-year 5% coupon bond has a ytm of 5.50%. Assume ytm’s are expressed with semiannual compounding, coupons are paid semiannually, and the face value of the bonds is $100. 

(a) What are the six-month and one-year discount functions implied by these prices? 

(b) What is the price of a one-year 4.50% coupon bond?

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