$7.$ The market rate is $6\%.$ The face value of the bond is $$1000,$ the coupon rate is $4\%$ with annual compounding, and the bond matures in $10$ years. What is the value of the bond?

$8.$ A company issues bonds at a market price of $$1,300.$ The face value is $$1,000.$ The bonds mature in $10$ years and the coupon rate is $9\%$ compounded annually. What is the yield to maturity on the company$$s bonds?

$9.$ A loan carries a $9\mathrm{.}5\%$ annual percentage rate $($APR$)$ and compounds daily. What is the APY?

$10.$ An engineer will receive $$15,000$ per year $($at the end of the year$)$ for $10$ years. The annual interest earned on the investment is $5\%.$ What is the present value of the engineer$$s investment?