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In finance, a coupon is the interest payment received by a bondholder from the date of issuance until the date of maturity of a bond. [1] 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 ...
Starting date for the accrual. It is usually the coupon payment date preceding Date2. Date2 (Y2.M2.D2) Date through which interest is being accrued. You could word this as the "to" date, with Date1 as the "from" date. For a bond trade, it is the settlement date of the trade. Date3 (Y3.M3.D3) Is the next coupon payment date, usually it is close ...
Duration is a linear measure of how the price of a bond changes in response to interest rate changes. It is approximately equal to the percentage change in price for a given change in yield, and may be thought of as the elasticity of the bond's price with respect to discount rates. For example, for small interest rate changes, the duration is ...
the length of time over which the bond produces cash flows for the investor (the maturity date of the bond), interest earned on reinvested coupon payments, or reinvestment risk (the uncertainty about the rate at which future cash flows can be reinvested), and; fluctuations in the market price of a bond prior to maturity. [3]
Consider first a $100 investment in each, which makes sense for the three bonds (the coupon bond, the annuity, the zero-coupon bond - it does not make sense for the interest rate swap for which there is no initial investment). Modified duration is a useful measure to compare interest rate sensitivity across the three.
For example, bonds can be readily priced using these equations. A typical coupon bond is composed of two types of payments: a stream of coupon payments similar to an annuity, and a lump-sum return of capital at the end of the bond's maturity—that is, a future payment. The two formulas can be combined to determine the present value of the bond.
If the bond's last coupon payment was made on 1 June, on 1 September, the dirty price is: Clean Price + Accrued Interest (where accrued interest is the interest accumulated from 1 June to 31 August on the bond according to its coupon rate.) The price changes continuously, as it depends on how many days have passed since the last coupon payment ...
The annual bond coupon should increase from $5 to $5.56 but the coupon can't change as only the bond price can change. So the bond is priced approximately at $100 - $0.56 or $99.44 . If the bond is held until maturity, the bond will pay $5 as interest and $100 par value for the matured bond.