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.

Rate Maturity Month$/$Year Bid Asked Change Ask Yield

$??$question mark May $33103\mathrm{.}5301103\mathrm{.}5423+\mathrm{.}32615\mathrm{.}939$

$6\mathrm{.}102$ May $38104\mathrm{.}4913104\mathrm{.}6370+\mathrm{.}4257??$question mark

$6\mathrm{.}148$ May $48??$question mark $??$question mark $+\mathrm{.}53663\mathrm{.}971$

In the above table, find the Treasury bond that matures in May $2048.$ 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$.,32\mathrm{.}16.$

If the bid$-$ask spread for this bond is $\mathrm{.}0644,$ what is the bid price in dollars?

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