Question

On October 5, 2011, you purchase a $10,000 T-note that matures on August 15, 2025 (settlement occurs two days after purchase, so you receive actual ownership of the bond on October 7, 2011). The coupon rate on the T-note is 6.25 percent paid semi-annually and the current price quoted on the bond is 102.53125. The last coupon payment occurred on May 15, 2011 (145 days before settlement), and the next coupon payment will be paid on November 15, 2011 (39 days from settlement).What is the dirty price of this bond

Answer 1

$10,499.39

Step-by-step explanation:

the dirty price of the bond = bond's clean price (market quote) + accrued interests

• accrued interest = $10,000 x (6.25% / 2) x (145 days / 184 days) = $246.26
• bond's clean price = $10,000 x 102.53125% = $10,253.13

bond's dirty price = $246.26 + $10,253.13 = $10,499.39