Question One: A $6$ year $$13,500$ bond paying a coupon rate of $4\mathrm{.}75\%$ compounded semi$-$annually was purchased at $97\mathrm{.}30\%.$ Calculate the yield at the time of purchase of the bond.

Question Two: A $$3,000$ bond that has a coupon rate of $4\mathrm{.}80\%$ payable semi$-$annually and maturity of $6$ years was purchased when the yield was $4\mathrm{.}30\%$ compounded semi$-$annually. What was the book value of the bond after $8$ payments?