please show work for each problem for business calculator. ex. rate, N, PMT,PV,FV

The YTM on a zero coupon bond that matures in 1 year is 8.9% What is the price of the bond? Assume $1000 face amount. 5 The price on a zero eoupon bond that matures in 1 year is 967.20. What is the yield to maturity TM) of the bond? Assunme $1000 face amount. Show answer to nearest hundredth of 1 percent. Ex. 6.48% 6 You bought a Beta Tapeplayer Ine bond two days ago. It was rated AA by Stadard and Poor's aid was selling at a yield to maturity (YTM) of 6.10%. Today it was downgraded to an A rating snd the YTM The bond has a coupon rate of 5.70%, and has 13 years to maturity. Assume annual coupons and a $1000 face amount. What was your purchase price? What is it worth today? What has been your percentage loss in value? Note: Ignore the 2 days- treat it as if the bond rating dropped immediates after purchase. mere axed la 6.70%