Suppose a$$ten$-$year, $ $1$ comma $000,$ $$1,000$ bond with an $8\mathrm{.}6\%,8\mathrm{.}6\%$ coupon rate and semiannual coupons is trading for $ $1$ comma $034\mathrm{.}16,$ $$1,034\mathrm{.}16.$

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

b$.$ If the$$bond$\text{'}$s yield to maturity changes to

$9\mathrm{.}6\%$

$9\mathrm{.}6\%$APR$,$ what will be the$$bond$\text{'}$s price?

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Part $1$

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

The$$bond$\text{'}$s yield to maturity is

enter your response here

$\%.($Round to two decimal$$places$.)$

Part $2$

b$.$ If the$$bond$\text{'}$s yield to maturity changes to

$9\mathrm{.}6\%$

$9\mathrm{.}6\%$APR$,$ what will be the$$bond$\text{'}$s price?

The new price for the bond is $$$

enter your response here

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