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 $8$ percent? Assume that the coupon payments are made semiannually, and that the current market interest rate for AAA$-$rated, $9-$year maturity bonds is $10$ percent APR compounded annually. Show your work.

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 semiannually $($at the end of each $6$ months$),$ and that the current market interest rate for AAA$-$rated, $9-$year maturity bonds is $12$ percent APR compounded semi$-$annually. Show vour work.