A bond is a debt instrument sold by the bond issuer(the borrower) to bondholders(the lenders). The bond issuer agrees to make payments of interest and principal to bondholders. The principal of a bond (also called its face value or par value) is the amount the issuer has promised to repay at maturity.
Issuer/Borrower
Par Value/Face Value/Maturity Value: The amount that the issuer agrees to repay the bondholders on the maturity date.
Maturity date; tender(time to maturity)
Coupon
Coupon Rate/Nominal Rate: The interest rate that the issuer agrees to pay each year until the maturity date.
Coupon = coupon rate ×\times× par value
Coupon Frequency: Coupon payments may be made annually, semi-annually, quarterly, or monthly, etc. Generally semi-annually paid in commonwealth countries, e.g. U.S, U.K.
Example: A three-year bond has par value of $ 100100100 and coupon rate 5%5\%5%. Coupon payments are made semi-annually.

Discounted Cash Flow Approach: The bond will pay promised payment of coupon and principal. Use the appropriate discount rate to discount the primised cash flows.
P=∑t=1nCt(1+r)t+FV(1+r)nP=\sum^n_{t=1}\frac{C_t}{(1+r)^t}+\frac{FV}{(1+r)^n}P=t=1∑n(1+r)tCt+(1+r)nFV
Example: A two-year bond has par value of $100100100 and coupon rate 5%5\%5%. Coupon payment are made semi-annually. The market discount rate is 6%, the price of the bond should be:
P=2.5(1+6%2)+2.5(1+6%2)2+2.5(1+6%2)3+1022.5(1+6%2)4=98.14P=\frac{2.5}{(1+\frac{6\%}{2})}+\frac{2.5}{(1+\frac{6\%}{2})^2}+\frac{2.5}{(1+\frac{6\%}{2})^3}+\frac{1022.5}{(1+\frac{6\%}{2})^4}=98.14P=(1+26%)2.5+(1+26%)22.5+(1+26%)32.5+(1+26%)41022.5=98.14
N=4N=4N=4; PMT=2.5PMT=2.5PMT=2.5; FV=100FV=100FV=100; 1/Y=31/Y=31/Y=3 →PV=−98.14\to PV=-98.14→PV=−98.14
Corporate bond issuances are typically arrangement by investment banks.
Private placement: bonds are placed with a small number of large institution.
Public issue: the investment bank buys the bonds from the corporation and the tries to sell them to investors.
Interest rates for private placement bonds are generally higher than those for equivalent publicly issued bonds.
Bonds issued via private placements are often not traded. Instead, they are held by the original purchases until maturity.
Bonds issued in a public offering are typically traded in the over-the-counter(OTC) market.
Bond dealers buy and sell bonds, and they aim to make a profit from the price difference.(bid-ask spreads)
Liquidity is an important issue in bond trading. It is the ability to turn an asset into cash within a reasonable time period at reasonable price.
Markets where the trading volume is high tend to be highly liquid and have low bid-ask spreads(and vice versa).
Part of the yield on a bond is compensation for its liquidity risk.
Classification by type of issuer
Government and government-related sector
Corporate sector(Utilities / Transportation companies / Industrials Financial institutions/ Internationals)
Classification by original maturity
Corporate bonds have an original maturity of at least one year.
Instruments with an original maturity of less than one year are referred to as commercial paper.
Classification by interest rate
Fixed-rate bonds: pay the same rate of interest throughout their life.
Zero-coupon bonds: pay no coupons to the holder(sell at a discount to the principal amount).
Floating-rate bonds(floating-rate notes(FRNs) or variable rate bonds): coupon rate is linked to an external reference rate, such as LIBOR.
Example: A company has issued a floating-rate note with a coupon rate equal to the three-month Libor+65\text{Libor} + 65Libor+65 basis points. Interest payments are made quarterly on 31 March, 30 June, 30 September, and 31 December. On 31 March and 30 June, the three-month Libor is 1.55%1.55\%1.55% and 1.35%1.35\%1.35%, respectively. The coupon rate for the interest payment made on 30 June is:
The coupon rate that applies to the interest payment due on 30 June is based on the three-month Libor rate prevailing on 31 March. Thus, the coupon rate is 1.55%+0.65%=2.20%1.55\%+0.65\%=2.20\%1.55%+0.65%=2.20%
Classification by collateral
Collateral is a way to reduce/alleviate credit risk. A default leads to either a reorganization or an asset liquidation.A bondholder with collateral should fare better than one without collateral.
Mortgage bonds: private specific assets(e.g., homes and commercial property) as collateral.
Collateral trust bonds: bonds where shares, bonds, or other securities issued by another company are pledged as collateral. Usually, the other company is a subsidiary of the issue.
Equipment trust certificates(ETC): debt instruments used to finance the purchase of an asset. The title to the property vests with the trustee, who then leases it to the borrower for an amount sufficient to provide the leader with the return they have been promised. When the debt is full repaid, the borrower obtains the title to the asset.
Debenture bonds: are unsecured bonds(no collateral). The rank below mortgage bonds and collateral trust bonds, and are likely to pay a higher interest rate. A subordinated debenture ranks below other debentures, and required a higher rate of interest than unsubordinated debentures.
Guaranteed bonds: bonds are issued by one company are guaranteed by another company. The correlation between the financial performance of the issuer and the guarantor increases, guarantee is less valuable.
Bond Indentures: are legal contracts between a bond issuer and the bondholders defining the important features of a bond issue.
Corporate trustee: a financial institution that look after the interests of the bondholders and ensures that the issuer complies with the bond indentures.
Call Provisions (Callable bond): bond indenture can sometimes allow the issuer to call the bond at a certain price at a certain time.
Put Provisions (Putable bond): Gives the bondholders the right to sell the bond back to the issuer at a pre-determined price on specified dates.
Convertible bond: gives bondholder the right to exchange the bond for a specified number of common shares in issuing company.
A sinking fund is an arrangement where it is agreed that bonds will be retired periodically before maturity
Maintenance and replacement funds require the issuer to maintain the value of the collateral with property additions. If property additions are not made, cash can be sued to retire debt.
Selling property: The bond indenture will normally allow a company to sell assets that have been pledged as collateral, as long as the proceeds from the sale are used to retire the bonds,
Covenant: legally enforceable rules that borrowers and lenders agree on at the time of a new bond issue.
Bonds issued by highly creditworthy firms generally contain few covenants.
Risk Faced by Bondholders: market risk(interest rate), liquidity risk, credit risk, event risk.
Credit ratings measure default risk.
Default: occurs when a bond issuer fails to make the agreed upon payments to the bondholders.
Credit spread risk: another risk faced by bondholders arises from changes in how the market prices credit risk(i.e., the credit spread)
Rbond=RBenchmark+CreditspreadR_{bond}=R_{Benchmark}+Credit\;spreadRbond=RBenchmark+Creditspread
Credit migration risk/downgrade risk: bond issuer’s creditworthiness deteriorates, or migrates lower, causing the yield spreads wider and the price lower.
Ratings agencies, such as Moody’s, S&P, and Fitch provide opinions on the credit worthiness of bond issuers.


High-yield bonds (a.k.a, junk bonds) are those bonds rated below investment grade by ratings agencies.
Circumstances that give rise to high-yield bonds
High-yield bonds sometimes have unusual features:
There are many events (e.g., natural disasters or the death of a CEO) that could adversely affect bonds. An important type of event risk is that of a large increase in leverage (e.g., leveraged buyouts, share buyback, etc).