You purchase a bond with an invoice price of $1,053. The bond has a coupon rate of 5.72 percent, it makes semiannual payments, and there are 4 months to the next coupon payment. The par value is $1,000. What is the clean price of the bond?
$1,033.93
$1,062.53
$1,081.60
$1,043.47
$1,024.40
Bond interest is paid semiannually. It means in every 6 month. | ||||||||||
Next coupon due is after 4 month. It means 2 month interest has been accrued, which is included in invoice or purchase value of bond. | ||||||||||
Bond's purchase price = | $1,053.00 | |||||||||
Bond par value | $1,000.00 | |||||||||
Coupon rate | 5.72% | |||||||||
Interest for 2 months = 1000 * 5.72% * 2/12 | $9.53 | |||||||||
Clean price = Purchase price - Accrued interest | ||||||||||
1053.00 - 9.53 | ||||||||||
$1,043.47 | ||||||||||
So, Clean price of bond is $1043.47. |
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