Suppose a $10-$year, $ $1$ comma $000$ bond with$$ a$($n$)7\%$ coupon rate and semiannual coupons is trading for a price of $ $1$ comma $014\mathrm{.}04.$

a$.$ What is the$$ bond's yield to maturity$($expressed as an APR with semiannual$$ compounding$)?$

b$.$ If the$$ bond's yield to maturity changes to $10\%$APR$,$ what will the$$ bond's price$$ be$?$