Problem $6-28$ Bond Yields $[$LO $2]$

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 $32,103\mathrm{.}4742,103\mathrm{.}5470,+\mathrm{.}3145,6\mathrm{.}199,,,,,],[5\mathrm{.}724,$May $35,104\mathrm{.}5082,104\mathrm{.}6539,+\mathrm{.}4413,??,,,,,],[6\mathrm{.}213,$May $41,??,??,+\mathrm{.}5535,4\mathrm{.}231,,,,,]]$

In the above table, find the Treasury bond that matures in May $2035.$ What is your yield to maturity if you buy this bond?

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

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