You find the following Treasury bond quotes. To calculate the number of years unti maturity, assume that it is currently May $2019$ and the bond has a parvalue of $$1,000.$

$\backslash$table$[[$Rate$,\backslash$table$[[$Maturity$],[$Mo$/$Yr$]],\backslash$table$[[$Bid$],[103\mathrm{.}5514]],\backslash$table$[[$Asked$],[103\mathrm{.}5392]],\backslash$table$[[$Chg$],[+\mathrm{.}3067]],\backslash$table$[[$Ask$],[$Yld$]]],[,$May $27,6\mathrm{.}079],[5\mathrm{.}424,$May $32,104\mathrm{.}5004,104\mathrm{.}6461,4341,??],[6\mathrm{.}183,$May $42,??,??,+\mathrm{.}5457,4\mathrm{.}111]]$

a$.$ In the above table, find the Treasury bond that matures in May $2042.$ What is the asked price of this bond in dollars? $($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$\mathrm{.}0552,$ what is the bid price in dollars? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$