Suppose a ten$-$year, $$1,000$ bond with an $8\mathrm{.}4\%$ coupon rate and semiannual coupons is trading for $$1,034\mathrm{.}16.$

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 $9\mathrm{.}5\%$ APR, what will be the bond's price?

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

The bond's yield to maturity is $7\mathrm{.}88\%.($Round to two decimal places.$)$

b$.$ If the bond's yield to maturity changes to $9\mathrm{.}5\%$ APR, what will be the bond's price?

The new price for the bond is $

$($Round to the nearest cent.$)$

Please show solving steps with an equation; NOT EXCEL. Thank you