$4.$ On October $5,2022,$ you purchase a $$10,000$ T$-$note that matures on August $15,2031($settlement occurs one day after purchase, so you receive actual ownership of the bond on October $6,2022).$ The coupon rate on the T$-$note is $4\mathrm{.}375$ percent and the current price quoted on the bond is $105\mathrm{.}250$ percent. The last coupon payment occurred on May $15,2022(144$ days before settlement$),$ and the next coupon payment will be paid on November $15,2022(40$ days from settlement$).($LG $6-2)$ a$.$ Calculate the accrued interest due to the seller from the buyer at settlement. b$.$ Calculate the dirty price of this transaction. Supplemental Problem Bond Quotation. Use the following February $11,2002,$ Wall Street Journal quotation for AT&T Corp. Which of the following statement is false? $(1)$The closing price of the bond with the shortest time to maturity is $$1,000.(2)$The annual coupon for the bond maturing in $2018$ is $$90.(3)$ The price on the day before this quotation $($February $9)$ for the AT&T bond maturing in $2024$ is $$1,075$ per bond contract. $(4)$The current yield on the AT&T bond maturing in $2004$ is $7\mathrm{.}125$ percent. $(5)$The AT&T bond maturing in $2004$ has a yield to maturity of less than $7\mathrm{.}125$ percent. Bonds Current Yield Volume Close ATT $9$s $18?10117$ Net Change ATT $51/803+\mathrm{.}25?5100$ ATT $71/804+\mathrm{.}75?193104\mathrm{.}125$ ATT $81/824+\mathrm{.}25?39107\mathrm{.}375-\mathrm{.}125$