Bonds

Bonds

An investor who buys a bond expects to receive a rate of return. However, bonds vary in the rates of return that they offer, according to the riskiness of the borrower. An interest rate can always be divided up into three components (as explained in Choice in a World of Scarcity): compensation for delaying consumption, an adjustment for an inflationary rise in the overall level of prices, and a risk premium that takes the borrower’s riskiness into account.

The U.S. government is considered to be an extremely safe borrower, so when the U.S. government issues Treasury bonds, it can pay a relatively low rate of interest. Firms that appear to be safe borrowers, perhaps because of their sheer size or because they have consistently earned profits over time, will still pay a higher interest rate than the U.S. government. Firms that appear to be riskier borrowers, perhaps because they are still growing or their businesses appear shaky, will pay the highest interest rates when they issue bonds. Bonds that offer high interest rates to compensate for their relatively high chance of default are called high yieldbonds or junk bonds. A number of today’s well-known firms issued junk bonds in the 1980s when they were starting to grow, including Turner Broadcasting and Microsoft.

Visit this website to read about Treasury bonds.

A bond issued by the U.S. government or a large corporation may seem to be relatively low risk: after all, the issuer of the bond has promised to make certain payments over time, and except for rare cases of bankruptcy, these payments will be made. If the issuer of a corporate bond fails to make the payments that it owes to its bondholders, the bondholders can require that the company declare bankruptcy, sell off its assets, and pay them as much as it can. Even in the case of junk bonds, a wise investor can reduce the risk by purchasing bonds from a wide range of different companies since, even if a few firms go broke and do not pay, they are not all likely to go bankrupt.

As we noted before, bonds carry an interest rate risk. For example, imagine you decide to buy a 10-year bond that would pay an annual interest rate of 8%. Soon after you buy the bond, interest rates on bonds rise, so that now similar companies are paying an annual rate of 12%. Anyone who buys a bond now can receive annual payments of $120 per year, but since your bond was issued at an interest rate of 8%, you have tied up $1,000 and receive payments of only $80 per year. In the meaningful sense of opportunity cost, you are missing out on the higher payments that you could have received. Furthermore, the amount you should be willing to pay now for future payments can be calculated. To place a present discounted value on a future payment, decide what you would need in the present to equal a certain amount in thefuture. This calculation will require an interest rate. For example, if the interest rate is 25%, then a payment of $125 a year from now will have a present discounted value of $100—that is, you could take $100 in the present and have $125 in the future. (This is discussed further in the appendix on Present Discounted Value.)

In financial terms, a bond has several parts. A bond is basically an “I owe you” note that is given to an investor in exchange for capital (money). The bond has a face value. This is the amount the borrower agrees to pay the investor at maturity. The bond has a coupon rate or interest rate, which is usually semi-annual, but can be paid at different times throughout the year. (Bonds used to be paper documents with coupons that were clipped and turned in to the bank to receive interest.) The bond has a maturity date when the borrower will pay back its face value as well as its last interest payment. Combining the bond’s face value, interest rate, and maturity date, and market interest rates, allows a buyer to compute a bond’s present value, which is the most that a buyer would be willing to pay for a given bond. This may or may not be the same as the face value.

The bond yield measures the rate of return a bond is expected to pay over time. Bonds are bought not only when they are issued; they are also bought and sold during their lifetimes. When buying a bond that has been around for a few years, investors should know that the interest rate printed on a bond is often not the same as the bond yield, even on new bonds. Read the next Work It Out feature to see how this happens.

Calculating the Bond Yield

You have bought a $1,000 bond whose coupon rate is 8%. To calculate your return or yield, follow these steps:

  1. Assume the following:Face value of a bond: $1,000Coupon rate: 8 %Annual payment: $80 per year
  2. Consider the risk of the bond. If this bond carries no risk, then it would be safe to assume that the bond will sell for $1,000 when it is issued and pay the purchaser $80 per year until its maturity, at which time the final interest payment will be made and the original $1,000 will be repaid. Now, assume that over time the interest rates prevailing in the economy rise to 12% and that there is now only one year left to this bond’s maturity. This makes the bond an unattractive investment, since an investor can find another bond that perhaps pays 12%. To induce the investor to buy the 8% bond, the bond seller will lower its price below its face value of $1,000.
  3. Calculate the price of the bond when its interest rate is less than the market interest rate. The expected payments from the bond one year from now are $1,080, because in the bond’s last year the issuer of the bond will make the final interest payment and then also repay the original $1,000. Given that interest rates are now 12%, you know that you could invest $964 in an alternative investment and receive $1,080 a year from now; that is, $964(1 + 0.12) = $1080. Therefore, you will not pay more than $964 for the original $1,000 bond.
  4. Consider that the investor will receive the $1,000 face value, plus $80 for the last year’s interest payment. The yield on the bond will be ($1080 – $964)/$964 = 12%. The yield, or total return, means interest payments, plus capital gains. Note that the interest or coupon rate of 8% did not change. When interest rates rise, bonds previously issued at lower interest rates will sell for less than face value. Conversely, when interest rates fall, bonds previously issued at higher interest rates will sell for more than face value.

This figure shows bond yield for two kinds of bonds: 10-year Treasury bonds (which are officially called “notes”) and corporate bonds issued by firms that have been given an AAA rating as relatively safe borrowers by Moody’s, an independent firm that publishes such ratings. Even though corporate bonds pay a higher interest rate, because firms are riskier borrowers than the federal government, the rates tend to rise and fall together. Treasury bonds typically pay more than bank accounts, and corporate bonds typically pay a higher interest rate than Treasury bonds.

Interest Rates for Corporate Bonds and Ten-Year U.S. Treasury Bonds

The two lines on the graph show that interest rates of corporate bonds and 10-year U.S. Treasury bonds tend to rise and fall at similar times. Corporate bonds, however, have always maintained a higher interest rate than 10-year U.S. treasury bonds.

The interest rates for corporate bonds and U.S. Treasury bonds (officially “notes”) rise and fall together, depending on conditions for borrowers and lenders in financial markets for borrowing. The corporate bonds always pay a higher interest rate, to make up for the higher risk they have of defaulting compared with the U.S. government.

The bottom line for bonds: rate of return—low to moderate, depending on the risk of the borrower; risk—low to moderate, depending on whether interest rates in the economy change substantially after the bond is issued; liquidity—moderate, because the bond needs to be sold before the investor regains the cash.

This lesson is part of:

Financial Markets

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