A bond has a $$1,000$ par value, $10$ years to maturity, and a $7\%$ annual coupon and sells for $$985.$

a$.$ What is its vield to maturity $($YTM$)?$ Round your answer to two decimal places.

$\%$

b$.$ Assume that the yield to maturity remains constant for the next three years. What will the price be $3$ years from today? Do not round intermediate calculations. Round your ans cent.