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.
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. For example, if a bond has a face value of 1,000andacouponrateof550 per year. Typically, this will consist of two semi-annual payments of $25 each.
The origin of the term "coupon" is that bonds were historically issued in the form of bearer certificates. Physical possession of the certificate was (deemed) proof of ownership. Several coupons, one for each scheduled interest payment, were printed on the certificate. At the date the coupon was due, the owner would detach the coupon and present it for payment (an act called "clipping the coupon").
The certificate often also contained a document called a talon, which (when the original block of coupons had been used up) could be detached and presented in exchange for a block of further coupons.
Not all bonds have coupons. Zero-coupon bonds are those that pay no coupons and thus have a coupon rate of 0%. 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 before the maturity date. During the European sovereign-debt crisis, some zero-coupon sovereign bonds traded above their face value as investors were willing to pay a premium for the perceived safe-haven status these investments hold. The difference between the price and the face value provides the bondholder with the positive return that makes purchasing the bond worthwhile.
Between a bond's issue date and its maturity date (also called its redemption date), the bond's price is determined by taking into account several factors, including:
The face value;
The maturity date;
The coupon rate, frequency of coupon payments, and day count convention;
The creditworthiness of the issuer; and
The yield on comparable investment options.
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The course provides a market-oriented framework for analyzing the major financial decisions made by firms. It provides an introduction to valuation techniques, investment decisions, asset valuation, f
The course provides a market-oriented framework for analyzing the major financial decisions made by firms. It provides an introduction to valuation techniques, investment decisions, asset valuation, f
The objective of this course is to provide a detailed coverage of the standard models for the valuation and hedging of derivatives products such as European options, American options, forward contract
Fixed income refers to any type of investment under which the borrower or issuer is obliged to make payments of a fixed amount on a fixed schedule. For example, the borrower may have to pay interest at a fixed rate once a year and repay the principal amount on maturity. Fixed-income securities — more commonly known as bonds — can be contrasted with equity securities – often referred to as stocks and shares – that create no obligation to pay dividends or any other form of income.
The yield to maturity (YTM), book yield or redemption yield of a bond or other fixed-interest security, such as gilts, is an estimate of the total rate of return anticipated to be earned by an investor who buys a bond at a given market price, holds it to maturity, and receives all interest payments and the capital redemption on schedule. It is the (theoretical) internal rate of return (IRR, overall interest rate): the discount rate at which the present value of all future cash flows from the bond (coupons and principal) is equal to the current price of the bond.
In finance, the yield curve is a graph which depicts how the yields on debt instruments – such as bonds – vary as a function of their years remaining to maturity. Typically, the graph's horizontal or x-axis is a time line of months or years remaining to maturity, with the shortest maturity on the left and progressively longer time periods on the right. The vertical or y-axis depicts the annualized yield to maturity. Those who issue and trade in forms of debt, such as loans and bonds, use yield curves to determine their value.
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