$4)$ A $$160,000,12\mathrm{.}46\%$ bond redeemable at par is purchased $5\mathrm{.}0$ years before maturity to yield $12\mathrm{.}09\%$ compounded monthly. If the bond interest is payable monthly what is the purchase price of bond $?$ Was the bond sold at a discount price or a premium? How much was the discount or premium?