Question $9$

$($a$)$ Assume that a portfolio manager purchases $$50,000,000$ of a $30-$year bond with a coupon of $4\mathrm{.}5\%$ paid semi$-$annually. The first coupon payment is $6$ months from the settlement date. How much will the portfolio manager have if the bond is held to maturity and coupon payments can be reinvested at $2\mathrm{.}5\%$ per annum, compounded semi$-$annually? If the purchase price is $102\mathrm{.}25,$ what is the total rate of return?