$1.$ A semiannual$-$pay bond has $7$ years to maturity, a yield to maturity of $7\mathrm{.}41$ percent and is priced at $$1,012\mathrm{.}67.$ What is its annual coupon rate? Answer in percent to two decimals.

$2.$ A premium annual$-$pay bond pays a $$82$ coupon, has a yield to maturity of $5\mathrm{.}17\%,$ and is priced at $$1,093\mathrm{.}98.$ How many years till the bond matures? Answer in years to at least two decimal places.

$3.$ One year ago, XYZ Co$.$ issued $12-$year bonds at par. The bonds have a coupon rate of $6\mathrm{.}26$ percent, paid semiannually, and a face value of $$1,000.$ Today, the market yield on these bonds is $7\mathrm{.}43$ percent. What is the percentage change in the bond price over the past year? Answer to two decimals.