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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 5.5%. Assume ytm's are expressed

A six month Zero-coupon bond has a ytm of 5%, while a one-year 5% coupon bond has a YTM of 5.5%. 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 4.5% coupon bond?

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