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(1) A bond will mature in 20 years. It has a 5% coupon rate and will pay annual coupons. If the bond has a face

(1) A bond will mature in 20 years. It has a 5% coupon rate and will pay annual coupons. If the bond has a face value of $1,000 and a 4% yield to maturity, what should be the price of the bond today? What if YTM goes up to 5%? What if YTM goes up to 6%?

(2) What would be the price of the bond above in (1) if the coupons were paid semiannually? Please show work on paper

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