The Black-Scholes-Merton Model
After completing this reading you should be able to: Explain the lognormal property... Read More
After completing this reading, you should be able to:
A bond is a debt instrument issued by a borrower (bond issuer) to a lender (bondholder) in an attempt to raise money.
The issuance of bonds can take place in the following ways:
The yield of a bond is the return earned on a bond, assuming that the interest and principal of the bond are paid as promised:
$$ \text{Yield of a corporate bond}= \text{Risk-free return}+ \text{Credit spread} $$
Where:
The risk-free return is the return that would have been earned on a similar risk-free instrument, such as a government bond.
The credit spread is the return paid to an investor to compensate him/her for the risk of default inherent in a corporate bond. The credit spread increases with an increase in the maturity period. As the maturity period increases, the possibility of the bond issuer facing financial difficulties increases. A higher credit risk results in a higher yield, so more risk and potentially more return for the investor.
The yield of a bond also features its liquidity. Liquidity is the ability to convert an asset into cash within a reasonable time period. A decrease in the bond’s liquidity leads to an increase in the bond yield. As the liquidity decreases, investors will need a higher yield to compensate them for liquidity risk.
High-yield bonds are bonds rated below investment-grade by rating agencies – a rating below “BBB” from S&P and below “Baa” from Moody’s.
Since they carry more default risk, they must pay a higher yield than investment-grade bonds. They are usually issued by startups or firms with high debt ratios. However, just because high-yield bonds are not investment-grade doesn’t necessarily mean they are a no-go zone. Failure is not a certainty. As such, “junk” bonds – as they are often called – can offer excellent returns to investors. In most cases, junk bonds do not fail.
There are several types of high-yield bonds:
The bond indenture, also known as the trust deed, refers to the official document that outlines the terms of the contract, including the obligations of the issuer and the rights of bondholders. Being representative of a binding contract, the indenture is a well-detailed document crafted by legal experts. For this reason, it’s usually in the best interests of the bondholder to seek the services of a corporate trustee to interpret the language therein.
A Corporate Trustee’s role is to act in the best interests of investors by being an independent supervisor of the security. All bond issues over $5 million and sold in interstate commerce must have a corporate trustee. All trustees are required to be professionally competent with no competing interests with their clients.
Credit default risk is the risk that the bond issuer will not make timely payments of interest and principal as obligated within the bond’s indenture framework.
Credit default risk is usually evaluated using credit ratings issued by rating agencies like Moody’s and Standard & Poor’s. The agencies assign a symbol to the rating, e.g., AAA for bonds with the lowest credit risk and C for bonds whose default is imminent.
Credit spread risk is the risk of loss in the value of a bond arising from changes in the level of credit spreads used in the marking to market. (Credit spread refers to the difference between a bond’s yield and the yield of a Treasury security with a comparable maturity.)
Macroeconomic as well as issuer-specific factors determine credit spread risk.
Some of the macroeconomic factors include:
Issuer-specific factors include:
A measure commonly used to assess credit spread risk is spread duration – the change in the value of a bond for a 1% (100 basis points) change in credit spread, assuming the yield of the underlying treasury security is constant.
Event risk refers to the risk that an unexpected event will negatively impact a company’s financial position. Such an unexpected event could take the form of a natural disaster, hostile takeover, restructuring, recapitalization, or even a large-scale share repurchase program.
Any of these events can drastically change a firm’s capital structure and reduce the creditworthiness of outstanding bonds and their value. In a bid to protect bondholders from such eventualities, a firm may include a poison put in the indenture. A poison put gives bondholders the right to redeem a bond before maturity, at or above par value, in the event that the firm suffers a hostile takeover. The poison put may also cover the other unexpected events listed above.
$$ \begin{array}{l|l} \textbf{Issuer} & \textbf{Example} \\ \hline \text{Utilities} & \text{Gas and Water} \\ \text{Transportation Companies} & \text{Truck Companies and Airlines} \\ \text{Financial Instutitutions} & \text{Banks and Insurance Companies} \\ \text{Industrials} & \text{Retailing and Manufacturing Companies} \\ \text{Internationals} & \text{Foreign Governments} \end{array} $$
A bond’s maturity is the date on which the principal amount of a bond – the “par value” – is to be paid in full, including any accrued interest. A bond’s maturity is set when it’s issued. Generally, bonds that mature in 1-3 years are short-term; those maturing in 4-10 years are said to be medium-term. Long-term bonds mature in more than 10 years.
Straight-coupon bonds pay a fixed interest rate for the entire life of the issue. In the U.S., bonds typically pay interest twice a year. In Europe, most straight-coupon bonds pay interest annually. At maturity, the amount paid consists of the interest earned in the final period plus principal.
Just like straight-coupon bonds, floating-rate bonds pay interest but based on a non-constant rate. For example, the interest payment at each payment date may be tied to the LIBOR rate on that date.
Participating bonds have a minimum interest rate but may pay more if the issuer’s profits increase.
Income bonds pay at most the specified interest rate but may pay less if the issuer’s profits decline.
Zero-coupon bonds do not pay any interest. At maturity, the issuer pays the par value of the bond. Bondholders earn a capital gain by purchasing the bond at a discount to the face value.
$$ \text{Original-issue discount(OID)}=\text{Face value} – \text{Offering price} $$
Zero-coupon bonds have zero reinvestment risk. The bondholder doesn’t have to contend with the issue of reinvesting cash interest payments because there aren’t any. The downside, however, is that the bondholder may still be required to pay tax on the accrued interest even though no cash is actually received. In other instances, the par value received at maturity is subject to capital gain tax.
Mortgage bonds have a security, such as real property, underlying the issue. The bondholders have the first mortgage lien on the properties of the issuer. As secured bonds, the rate of interest payable may be less than that payable on unsecured bonds.
Collateral trust bonds are secured by a range of financial assets, including stocks, notes, bonds, or similarly ranked securities owned by the issuer. The issuer is usually a holding company, and the collateral consists of claims on their subsidiaries.
Equipment trust certificates (ETCs) are debt instruments that allow the borrower to take possession of an asset and put it to use while paying for it over time. The trustee purchases the asset/equipment and leases it to the borrower, who pays rent on the equipment. The rent is then passed on to the holder of the ETC.
Debentures are unsecured bonds only issued by highly rated institutions. As a result, the interest rate payable is usually higher than that in secured bonds. However, if the issuer has no outstanding secured bonds, debentures have a claim on all of the issuer’s assets along with those of guarantors. If the issuer has secured debt, the debenture holder has a claim on all assets not backing the secured debt.
Subordinated debenture bonds are bonds that rank the lowest on the list of creditors in the event of a winding-up. They rank below debentures and unsecured debt. As a result, the issuer has to pay a higher interest rate.
Convertible debentures are unsecured bonds that give the holder the right to convert the bond into common stock. This right to convert is a benefit to the holder and therefore reduces the interest rate paid. However, the issuer has to contend with a dilution of their stock in the event the bondholder exercises their right to convert.
Guarantee bonds are bonds issued by one company but guaranteed by another company.
A bond’s indenture may allow for the early retirement of a bond. This means the issuer pays out cash and removes the bond from its balance sheet before the scheduled maturity date. The longer the maturity of the bond, the more time the issuer has to retire the bond issue.
Some of the reasons why an issuer might decide to retire a bond early include:
Corporate bonds can be retired in two main ways, namely:
Call Provisions: Call provisions are basically call options on the bond. The provisions give the issuer the right to purchase the outstanding debt at a fixed price either in whole or in part prior to maturity. There are two types of call provisions:
A sinking fund provision retires a bond periodically/systematically rather than retiring the entire issue at once. The terms of the provision are clearly outlined in the indenture. For example, if a bond has a principal of $60 million and 20 years to maturity, a sinking fund provision may seek to retire the bond in chunks of $15 million at 5-year intervals.
This mechanism is used by electric utility companies that retire their bonds to maintain and repair the pledged collateral.
Release-of-property and substitution-of-property clauses are found in most secured bond indentures because bondholders want the integrity of the collateral to be maintained.
Tender offers: In this method, the issuer sends a tender offer declaring its intention to buy back its debt issue. A circular is sent out to all bondholders outlining the finer details of the offer, including the price at which the issuer is willing to execute the offer.
There are two ways in which default can be measured: by the raw number of issuers that defaulted or the dollar amount of issues that defaulted. This leads us to two types of default rates.
The issuer default rate is the number of issuers that defaulted over a year divided by the total number of issuers at the beginning of the year. It only looks at the number of defaults that have occurred as a proportion of the total number of issues made in a year. It doesn’t dig deeper to establish the dollar amount of loss arising from any of the default events.
The dollar default rate is the par value of all bonds that defaulted in a given calendar year divided by the total par value of all bonds outstanding during the year.
The recovery rate refers to the percentage amount recovered by a bondholder following a default event. The loss given default, LGD, is the amount that a bondholder stands to lose in the event of default. It’s given by:
$$ LGD = 1 – \text{Recovery rate} $$
For example, if the recovery rate on an issue is \(60\%\), the loss given default is \(40\%\). On a \($100\) million debt instrument, the estimated loss following a default event would be \($40 \quad million\).
Bonds with higher seniority have higher recovery rates because they take precedence in the event of a winding-up.
Question
A bond paying the Fed funds rate plus 4 percent in semiannual payments would be best known as a (an):
A. Income bond.
B. Straight-coupon bond.
C. Floating-rate bond.
D. Collateral trust bond.
The correct answer is C.
A floating-rate note (FRN) is a debt instrument with a variable interest rate. The interest rate for an FRN is tied to a benchmark rate—in this case, the Feds fund rate.