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.

a$.$ In the above table, find the Treasury bond that matures in May $2046.$ 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 $\mathrm{.}0637,$ what is the bid price in dollars?

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