Question

On October 5, 2019, you purchase a $13,000 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 5.375 percent and the current price quoted on the bond is 105.5 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.

a.	Accrued interest due
b.	Dirty price

Answer 1

  

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Semi Annual % = 0.05375 /2 = 0.026875

Answer a)

Accrued Interest Percentage = Semi annual Rate x [ NO. of days before settlement / (NO of days before settlement + NO of days after settlement)]

Accrued Interest Percentage = 0.026875 x [ 145/ (145 + 39) ] = 0.021179

Accrued Interest = 13,000 x 0.021179 = 275.33

Answer b.)

Dirty Price Percentage = Current Price% + Accrued Interest% = 105.5% + 2.1179% = 107.6179%

Dirty Price = 13000 x 107.6179% = 13990.327

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