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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.
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:
1969 $100,000 Treasury Bill. Treasury bills (T-bills) are zero-coupon bonds that mature in one year or less. They are bought at a discount of the par value and, instead of paying a coupon interest, are eventually redeemed at that par value to create a positive yield to maturity.
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.
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.
Zero-coupon bonds are those that pay no coupons and thus have a coupon rate of 0%. [ 6 ] [ 7 ] [ 8 ] 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 ...
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