An investor with a $5-$year investment horizon is considering purchasing a $15-$year $7\%$ coupon bond for $$913\mathrm{.}54.$ This means the YTM today is $8\%.$ The investor expects to be able to reinvest the coupon interest payments at an annual interest rate of $6\%($Please note that $6\%$ is a nominal rate, $3\%$ is the effective semi$-$annual interest rate that we should adopt$)$ and that at the end of the planned investment horizon, the then $10-$year bond will be selling to offer a YTM of $5\%.$

Please compute the total coupon payments plus the interest on interest $($i$.$e$.$ the total future value of the first $10$ coupon payments, at the end of year $5),$ assuming a semi$-$annual interest rate of $3\%.$

Hint: the implicit par value of this bond is $$1000.$ The implicit frequency of coupon payments is semi$-$annual. So each coupon payment is $7\%*1000/2=$ $$35.$

Group of answer choices

$298\mathrm{.}56$

$350$

$401\mathrm{.}24$

$432\mathrm{.}32$