Assume that it is February $15,2014$ and there are exactly $10$ six$-$month time periods remaining until maturityor a $30-$year US Treasury bond that was originally issued on February $15,1989.$ The bond matures on February $15,2019$ and has a coupon rate of $8\mathrm{.}875\%.$ The coupons are paid semi$-$annually. The yield to maturity is $4\mathrm{.}55\%.$The bond was sold in face value increments of $$100.$ Using either the PVA formula or the bond pricing formula $($discounting of cash flows$),$ what is the current price of the bond? Begin with the general formula.

Show all your work. Is the bond priced at a premium, discount, or at par? And, why? Explain.