CHAPTER 13
Investing in Bonds
Q: What’s the difference between a man and a bond?
A: The bond eventually matures.
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Investing in Bonds
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Why Do Investors Buy Bonds?
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Why Sell Bonds
Almost every election year in California, the voters are asked to approve a “bond proposition” for parks, schools, water projects, transportation, emergency and public safety equipment, etc. The State of California then sells the bonds to pay for the project and must pay the interest and pay back the principal over 30 years. Do you believe that most voters understand what they are voting for?
When an entity sells bonds, it is borrowing money.
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Why Sell Bonds
Bonds are debt financing. Corporations, municipalities, or the Federal government borrow for many of the same reasons that individuals borrow for – to finance their operations.
Stocks are equity financing. A corporation is selling a piece of itself to finance the operations of the company. (Governments do not issue stocks because they can not sell pieces of themselves.)
(continued)
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Characteristics of Bonds
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Types of Bonds
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Call Feature of Bonds
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Bonds and Taxes
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Taxable Equivalent Yield
Tax-Exempt Yield
1.0 – Your Federal marginal tax rate
Example: 6% yield, 25% tax bracket
Taxable equivalent yield = 0.06
1.0 - 0.25
= 0.08 = 8%
Federal income tax free municipal bonds
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Taxable Equivalent Yield
Tax-Exempt Yield
1.0 - Your combined marginal tax rate
(Federal & state)
Example: 6% yield, 25% Fed, 8% state
Taxable equivalent yield = 0.06
1.0 – (0.25+0.08)
= 0.0895 = 8.95%
(continued)
If you purchase bonds from your state, they are usually “double tax-free.”
Federal & state income tax free.
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Making the Decision to �Buy or Sell a Bond
Think of the ratings as “idiot lights” on your car’s dashboard. By the time the agency downgrades the bond to C or D, it is already too late!
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Bonds and Interest Rates
When interest rates fall,
…bond prices rise,
and vice-versa.
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Bonds and Interest Rates: Example
Interest rates fall?
Bond prices rise!
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(continued)
Bonds and Interest Rates: Example
Interest rates rise?
Bond prices fall!
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Bond Pricing: Problem 1
Juan Zapata-Tyme bought a corporate bond paying 8% four years ago. Today, corporate bonds that are like Juan’s bond are paying 6%. Would Juan be able to sell his bond for more than he paid for it, less than he paid for it, or the same amount he paid for the bond?
The correct answer is (A). If interest rates go down, bond prices go up. The bond would sell at a premium.
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Bond Pricing: Problem 2
L. Coco bought a Treasury bond paying 5% two years ago. Today, like Treasury bonds are paying 7%. Would Señor Coco be able to sell his bond for more than he paid for it, less than he paid for it, or the same amount he paid for it?
The correct answer is (B). If interest rates go up, bond prices go down. The bond would sell at a discount.
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Bonds and Interest Rates
(continued)
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Current % Yield of a Bond
Example: 6%, $1,100 market value
Current yield = $60
$1,100
= 0.0545454 ≅ 5.454%
Current Market Value
Dollar Amount of Annual Interest
A bond selling at a premium has a current yield lower than its stated nominal rate
(continued)
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Current % Yield of a Bond
Example: 6%, $900 market value
Current yield = $60
$900
= 0.06667 ≅ 6.667%
A bond selling at a discount has a current yield higher than its stated nominal rate
Current Market Value
Dollar Amount of Annual Interest
(continued)
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Yield to Maturity
Face value - Market value
Number of periods
Face value + Market value
2
Example: 6%, Selling at $900, 10-year maturity
$1,000 - $900
10 years
$1,000 + $900
2
= 0.073684 = 7.368%
$ Amt Annual Interest +
$60 +
¡Aye, Paquito!
This top quantity takes into account the appreciation or depreciation of the bond.
This bottom quantity is just the average of the face value and the market value.
Annual interest
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Primary and Secondary Bond Markets
Very few small investors participate in the bond markets. Bond traders normally deal in the millions of dollars and want you to pony up at least $25,000, preferably $100,000 or more. The major exceptions are Federal Treasury bonds. The small investor is welcome at www.treasurydirect.gov.
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Bond Mutual Funds
Although it is very easy to buy Treasury bonds directly from the Federal government at www.treasurydirect.gov
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Bottom Line on Bonds
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