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Suppose a 10-year, $1000 bond with an 5.5% coupon rate and semiannual coupons is trading for a price of $815.88 (a) What is the bonds

Suppose a 10-year, $1000 bond with an 5.5% coupon rate and semiannual coupons is trading for a price of $815.88

(a) What is the bonds YTM (Yield to Maturity) expressed as an APR with semiannual compounding?

(b) If the bonds YTM changes to 8% APR, what will the bonds price be?

Please don't use excel to solve this problem, make use of mathematical formulas for both instead and show work.

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