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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

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%?

What would be the price of the bond if the coupons were paid semiannually?

Please show your work and a step by step analysis would be very helpful!

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