You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May $2022.$ All of the bonds have a par value of $$1,000$ and pay semiannual coupons.

$\backslash$table$[[,$Maturity,,,,$],[$Rate$,$Month$/$Year$,$Bid,Asked,Change,Ask Yielo$],[??,$May $29,103\mathrm{.}5249,103\mathrm{.}5371,+\mathrm{.}3209,5\mathrm{.}859],[5\mathrm{.}901,$May $34,104\mathrm{.}4861,104\mathrm{.}6318,+\mathrm{.}4209,??],[6\mathrm{.}128,$May $44,??,??,+\mathrm{.}5314,3\mathrm{.}891]]$

a$.$ In the above table, find the Treasury bond that matures in May $2044.$ What is the asked price of this bond in dollars?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$.$ If the bid$-$ask spread for this bond is $\mathrm{.}0631,$ what is the bid price in dollars?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$