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Coupons are normally described in terms of the "coupon rate", which is calculated by adding the sum of coupons paid per year and dividing it by the bond's face value. [2] For example, if a bond has a face value of $1,000 and a coupon rate of 5%, then it pays total coupons of $50 per year.
Zero-coupon bonds, which are issued by the U.S. Department of the Treasury, have no coupon reinvestment risk because they have no periodic coupon payments, interest being paid in full when the bond matures. [10] Reinvestment risk is particularly important for mortgage-backed securities, because payments are received as frequently as every month ...
For example, if the annual coupon of the bond were 5% and the underlying principal of the bond were 100 units, the annual payment would be 5 units. If the inflation index increased by 10%, the principal of the bond would increase to 110 units. The coupon rate would remain at 5%, resulting in an interest payment of 110 x 5% = 5.5 units.
Zero coupon bonds have a duration equal to the bond's time to maturity, which makes them sensitive to any changes in the interest rates. Investment banks or dealers may separate coupons from the principal of coupon bonds, which is known as the residue, so that different investors may receive the principal and each of the coupon payments.
A perpetual bond, also known colloquially as a perpetual or perp, is a bond with no maturity date, [1] therefore allowing it to be treated as equity, not as debt. Issuers pay coupons on perpetual bonds forever, and they do not have to redeem the principal. Perpetual bond cash flows are, therefore, those of a perpetuity.
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The spread is a rate that remains constant. Almost all FRNs have quarterly coupons, i.e. they pay out interest every three months. At the beginning of each coupon period, the coupon is calculated by taking the fixing of the reference rate for that day and adding the spread. [1] [2] [3] A typical coupon would look like 3 months USD SOFR +0.20%.
The more curved the price function of the bond is, the more inaccurate duration is as a measure of the interest rate sensitivity. [2] Convexity is a measure of the curvature or 2nd derivative of how the price of a bond varies with interest rate, i.e. how the duration of a bond changes as the interest rate changes. [3]