A government bond with a coupon rate of 5% makes semiannual coupon payments on January 12 and July 12 of each year. The Wall Street Journal reports the asked price for the bond on January 27 at $1,004.375. What is the invoice price of the bond? The coupon period has 182 days.

invoice price (dirty price) = $1,006.435

Explanation:

semi-annual coupon = $1,000 x 5% x 1/2 = $25

clean price = $1,004.375

accrued interest = (Jan. 27 - Jan. 12) x $25 x 1/182 = $2.06

invoice price (dirty price) = clean price + accrued interest = $1,004.375 + $2.06 = $1,006.435

the dirty price or invoice price of a bond includes any accrued interest that the bond may have earned in the period between the last coupon payment and the transaction date.

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