A bond issued by GE has a coupon rate of $4\mathrm{.}125\%$ with semiannual payments, a par value of $$1,000,$ and remaining maturity of exactly $29$ years. The bond is currently trading at a price in the market that reflects a yield to maturity for the bond of $4\mathrm{.}59\%.$

a$.$ What must be the current price of the bond?

b$.$ What is the bond's current yield?