Suppose a$10-$year, $ $1$ comma $000$ bond with an $8\mathrm{.}7\%$ coupon rate and$$ semi$-$annual coupons is trading for a price of $$$$1$ comma $034\mathrm{.}59.$

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

b$.$ If the$$ bond's yield to maturity changes to $9\mathrm{.}2\%$APR$,$ what will the$$ bond's price$$ be$?$

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Part $1$

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

The$$ bond's yield to maturity is

$$

enter your response here$\%.($Round to two decimal$$ places.$)$