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$[[,\backslash$table$[[$Maturity$],[$Month$/$Year$]],$Bid,Asked,Change,Ask Yield$],[,$May $35,103\mathrm{.}5327,103\mathrm{.}5449,+\mathrm{.}3287,5\mathrm{.}979],[,$May $40,104\mathrm{.}4939,104\mathrm{.}6396,+\mathrm{.}4281,??],[,$May $50,??,??,+\mathrm{.}5392,4\mathrm{.}011]]$

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 $\mathrm{.}0651,$ what is the bid price in dollars?

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

Answer is complete but not entirely correct.

$\backslash$table$[[$a$.$ Asked price,$$,1,365\mathrm{.}68$