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v. t. e. A zero-coupon bond (also discount bond or deep discount bond) is a bond in which the face value is repaid at the time of maturity. [ 1 ] Unlike regular bonds, it does not make periodic interest payments or have so-called coupons, hence the term zero-coupon bond. When the bond reaches maturity, its investor receives its par (or face) value.
For a standard bond, the Macaulay duration will be between 0 and the maturity of the bond. It is equal to the maturity if and only if the bond is a zero-coupon bond . Modified duration, on the other hand, is a mathematical derivative (rate of change) of price and measures the percentage rate of change of price with respect to yield.
Given: 0.5-year spot rate, Z1 = 4%, and 1-year spot rate, Z2 = 4.3% (we can get these rates from T-Bills which are zero-coupon); and the par rate on a 1.5-year semi-annual coupon bond, R3 = 4.5%. We then use these rates to calculate the 1.5 year spot rate. We solve the 1.5 year spot rate, Z3, by the formula below:
For example, if a zero-coupon bond with a $20,000 face value and a 20-year term pays 5.5% interest, the interest rate is knocked off the purchase price and the bond might sell for $7,000.
Forward rate. The forward rate is the future yield on a bond. It is calculated using the yield curve. For example, the yield on a three-month Treasury bill six months from now is a forward rate. [1]
Zero-coupon bonds are those that pay no coupons and thus have a coupon rate of 0%. [6] [7] Such bonds make only one payment: the payment of the face value on the maturity date. Normally, to compensate the bondholder for the time value of money, the price of a zero-coupon bond will always be less than its face value on any date of purchase ...
A zero-coupon inflation swap (ZCIS), also called a zero-coupon inflation-indexed swap (ZCIIS), is a standard derivative product whose payoff depends on the inflation rate realized over a given period of time. The underlying asset is a single consumer price index (CPI). It is zero-coupon because there is only one cash flow at the maturity of the ...
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.