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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:
[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 value of $1,000 and a coupon rate of 5%, then it pays total coupons of $50 per year.
However, the coupon periods themselves may be of different lengths; in the case of semi-annual payment on a 365-day year, one period can be 182 days and the other 183 days. In that case, all the days in one period will be valued 1/182nd of the payment amount and all the days in the other period will be valued 1/183rd of the payment amount.
A corporate bond has a coupon rate of 7.2% and pays 4 times a year, on 15 January, April, July, and October. It uses the 30/360 US day count convention. A trade for 1,000 par value of the bond settles on January 25. The prior coupon date was January 15. The accrued interest reflects ten days' interest, or $2.00 = (7.2% of $1,000 * (10 days/360 ...
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For example, a coupon may offer a $1.00 discount when the consumer purchases a specific brand and flavor of toothpaste. During the early years of its use, many checkout registers systems could not read GS1 DataBar barcodes. Consequently, coupons would have both a GS1 DataBar coupon and a traditional UPC/EAN barcode coupon for older registers.
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