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 Yield$],[??,$May $35,103\mathrm{.}5579,103\mathrm{.}5457,+\mathrm{.}3132,6\mathrm{.}179],[5\mathrm{.}674,$May $40,104\mathrm{.}5069,104\mathrm{.}6526,+\mathrm{.}4401,??],[6\mathrm{.}208,$May $50,??,??,+\mathrm{.}5522,4\mathrm{.}211]]$

a$.$ In the above table, find the Treasury bond that matures in May $2050.$ 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 $\mathrm{.}0588,$ what is the bid price in dollars?

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

a$.$ Asked price

b$.$ Bid price