A term used to describe an accrual accounting method when interest that is either payable or receivable has been recognized, but not yet paid or received. Accrued interest occurs as a result of the difference in timing of cash flows and the measurement of these cash flows.
The interest that has accumulated on a bond since the last interest payment up to, but not including, the settlement date.
The process of calculating the amount of interest accrued depends on identifying the number of days that have passed since the last disbursement of accrued interest to the owner of the bond. At the same time, it is important to know the rate of interest that is compounded at each schedule coupon date.
Accrued Interest = Interest payment * Number of days since last payment /Number of days between payments
Example:
Calculating the Purchase Price for a Bond with Accrued Interest
You purchase a corporate bond with a settlement date on September 15 with a face value of $1,000 and a nominal yield of 8%, that has a listed price of 100-08, and that pays interest semi-annually on February 15 and August 15. How much must you pay?
The semi-annual interest payment is $40 and there were 31 days since the last interest payment on August 15. If the settlement date fell on a interest payment date, the bond price would equal the listed price: 100.25% x $1,000.00 = $1,002.50 (8/32 = 1/4 = .25, so 100-08 = 100.25% of par value). Since the settlement date was 31 days after the last payment date, accrued interest must be added. Using the above formula, with 184 days between coupon payments, the actual purchase price for the bond will be $1,002.50 + $6.74 = $1,009.24
The interest that has accumulated on a bond since the last interest payment up to, but not including, the settlement date.
The process of calculating the amount of interest accrued depends on identifying the number of days that have passed since the last disbursement of accrued interest to the owner of the bond. At the same time, it is important to know the rate of interest that is compounded at each schedule coupon date.
Accrued Interest = Interest payment * Number of days since last payment /Number of days between payments
Example:
Calculating the Purchase Price for a Bond with Accrued Interest
You purchase a corporate bond with a settlement date on September 15 with a face value of $1,000 and a nominal yield of 8%, that has a listed price of 100-08, and that pays interest semi-annually on February 15 and August 15. How much must you pay?
The semi-annual interest payment is $40 and there were 31 days since the last interest payment on August 15. If the settlement date fell on a interest payment date, the bond price would equal the listed price: 100.25% x $1,000.00 = $1,002.50 (8/32 = 1/4 = .25, so 100-08 = 100.25% of par value). Since the settlement date was 31 days after the last payment date, accrued interest must be added. Using the above formula, with 184 days between coupon payments, the actual purchase price for the bond will be $1,002.50 + $6.74 = $1,009.24
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