Find the interest payment you would have received $($in dollars and cents$)$ on July $15,$

$2023$ if you owned a $10-$year TIPS bond which was issued on Jan. $15,2022$ with a face

value of $$100,000$ and a coupon rate of $2\mathrm{.}40\%.$ Suppose the annual inflation rate is

announced at the end of each quarter $($end of March, June, Sept. and Dec.$).$ In $2021$ the

numbers were $4\mathrm{.}4\%,5\mathrm{.}5\%,6\mathrm{.}6\%$ and $7\mathrm{.}0\%.$ For $2022$ they were $8\mathrm{.}6\%,7\mathrm{.}4\%,6\mathrm{.}2\%,$ and

$6\mathrm{.}3\%.$ For $2023$ they were $5\mathrm{.}5\%,5\mathrm{.}0\%,$ and $4\mathrm{.}7\%($The December $2023$ rate hadn't come

out yet$).$ For this problem, anytime there appears to be more than one inflation rate you

could use, you should use the most recently reported rate.