A $$20,000,5\mathrm{.}4\%$ bond redeemable at par is purchased $9\mathrm{.}5$ years before maturity to yield $9\mathrm{.}6\%$ compounded semi$-$annually. If the bond interest is payable semi$-$annually, what is the purchase price of the bond?

a$)14500$

b$)14840\mathrm{.}41$

c$)14830\mathrm{.}42$

d$)14600$