Suppose a$$ seven$-$year, $ $1$ comma $000$ bond with a $7\mathrm{.}7\%$ coupon rate and$$ semi$-$annual coupons is trading with a yield to maturity of $6\mathrm{.}33\%.$

b$.$ If the yield to maturity of the bond rises to $7\mathrm{.}16\%($APR with$$ semi$-$annual compounding$),$ what price will the bond trade$$ for?

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Part $2$

b$.$ If the yield to maturity of the bond rises to $7\mathrm{.}16\%($APR with$$ semi$-$annual compounding$),$ what price will the bond trade$$ for?

The new price of the bond will be $$$

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