Question

On October 5, 2019, you purchase a $11,000 T-note that matures on August 15, 2031 (settlement occurs two days after purchase, so you receive actual ownership of the bond on October 7, 2019). The coupon rate on the T-note is 4.875 percent and the current price quoted on the bond is 105.75 percent. The last coupon payment occurred on May 15, 2019 (145 days before settlement), and the next coupon payment will be paid on November 15, 2019 (39 days from settlement). a. Calculate the accrued interest due to the seller from the buyer at settlement. b. Calculate the dirty price of this transaction. (For all requirements, do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16))

Answer 1

a).

Accrued interest percentage = (Coupon rate / 2) x (Number of days before settlement / (Number of days before settlement + Number of days after settlement))
= (0.04875 / 2) x (145 / (145+39))
= 1.9209%

Accrued interest amount = Accrued interest percentage x Face value
= 1.9209% x $11,000
= $211.29

b).

Dirty price percentage = Current price prcentage + Accrued interest percentage
= 105.75% + 1.9209%
= 107.6709%

Dirty price amount = Dirty price percentage x Face value
= 107.6709% x $11,000
= $11,843.79