1. What is an estimate of the price of AAA-rated bond that has nine years till maturity, a face value of 1000 dollars, and an APR coupon rate of 11 percent? Assume that the coupon payments are made annually (at the end of each year), and that the current market interest rate for AAA-rated, 8-year maturity bonds is 10 percent APR compounded annually. Show your work.

2. What is an estimate of the price of AAA-rated bond that has nine years till maturity, a face value of 1000 dollars, and an APR coupon rate of 14 percent? Assume that the coupon payments are made semi-annually (at the end of each 6 months), and that the current market interest rate for AAA-rated, 9-year maturity bonds is 10 percent APR compounded semi-annually. Show your work.

3. The Apr coupon rate on a bond is 6 percent (compounded quarterly) and yet the yield to maturity on the bond is 10 percent (compounded quarterly). The face value of the bond is 1000 dollar and will mature in 7 years. What is the price of the bond right now? Show your work

please write out equations used thanks!