Suppose a $10-$year, $ $1$ comma $000$ bond with$$ a$($n$)11\%$ coupon rate and semiannual coupons is trading for a price of $ $1$ comma $059\mathrm{.}83.$

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$?$

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Part $1$

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

The YTM is

$$

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