$1.$ 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 $8$ percent? Assume that the coupon payments are made semi$-$annually, and that the current market interest rate for AAA$-$rated, $9-$year maturity bonds is $10$ percent APR compounded annually. Show your work.