please do #'s 5-6 and show work. if using financial calculator please add what you typed in to get the answer. will leave thumbs up!

(5) BOND's COUPON RATE Suppose a five-year, $1000 bond with annual coupons has a price of $900 and a yield to maturity of 6%. What is the bond's coupon rate? (6) BOND VALUATION and YIELD TO MATURITY Suppose a 10 -year, $1000 bond with an 8% coupon rate and semiannual coupons is trading for $1034.74. (a) What is the bond's yield to maturity? (b) If the bond's yield to maturity changes to 9%, what will the bond's price be