ernard purchased a $$50,000$ bond carrying a $4\mathrm{.}5\%$ coupon rate when it had $8$ years remaining until maturity. What price did he pay if the prevailing rate of return on the purchase date was $5\mathrm{.}2\%$ compounded semiannually? $($Do not round the intermediate calculations. Round your answer to the nearest cent.$)$ Bond price$$$ Assume that: Bond interest is paid semiannually. The bond was originally issued at its face value. Bonds are redeemed at their face value at maturity. Market rates of return are compounded semiannually.